If LI = 25 cm and AC = 24 cm , what is the length of BC?
Answers
The length of the missing side of the given triangle ABC which is similar to triangle ILN would be = 7cm
How to calculate the length of the missing side of the given triangle?Given that triangle ILN and ABC are similar this shows that their sides are equal in measurement too.
Therefore, LI = 25cm = AB = c
AC = 24 cm = LN = b
BC = X = IN = a
Using the Pythagorean formula;
C² = a² + b²
25² = a² + 24²
625 = a² + 576
625 -576 = a²
a² = 49
a = √49
a = 7cm
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Related Questions
Solve for the base in a percent problem.
(1.)5 is 5% of what number?
(2.)18 is 15% of what number?
(3.)4 is 5% of what number?
(4.)14 is 7% of what number?
(5.)3 is 7% of what number?
Answers
2) 120
3) 80
4) 200
5) 42.857
Answer:
(1)100
(2)120
(3)80
(4)200
(5)42.85
Step-by-step explanation:
The answers explanation is:
P=RB, p=percentage
r=rate
b=base,so
P=RB
P/R=RB/R
B=P/R
For example, (1)B=P/R
B=5/5/100
B=5*100/5
B=500/5
B=100 and so on - - -
GOOD LUCK!
The Given is m ………………..
Answers
Where T is the subject of the formula, the expression becomes, T = N²SL/M². (Option B)
What is the explanation for the above response?
To make T the subject of the formula M = N√(SL/T), we need to isolate T on one side of the equation by performing mathematical operations in a way that cancels out all other variables.
Here's how we can do that:
Square both sides of the equation to eliminate the square root:
M² = N²SL/T
Multiply both sides of the equation by T to get rid of the denominator on the right-hand side:
M²T = N²SL
Divide both sides of the equation by M² to isolate T on one side:
T = N²SL/M²
Therefore, the formula for T in terms of the other variables is:
T = N²SL/M².
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Given M = N√(SL/T), make T the subject of the formula.
A. NSL/M
B. N²SL/M²
C. N²SL/M
D. NSL/M²
Nachelle can text 63 words in 6 minutes. At this rate, how many minutes would it take her to text 147 words? pls help this will save my grade
Answers
Answer:
14 minutes
Step-by-step explanation:
We take
63 / 6 = 10.5 words per minute
So, Nachelle can text 10.5 words per minute.
At this rate, how many minutes would it take her to text 147 words?
We take
147 / 10.5 = 14 minutes
So, at this rate, it would take her 14 minutes to text 147 words.
what is the probability of rolling a 6 and then a 2 from one die in that order?
and
how many different ways are there to roll 3 dice??
*PLEASE ANSWER ASAP*
Answers
Answer:
1/36 and 216
Step-by-step explanation:
The probability of rolling a 6 or a 2 on either piece of dice is 1/6. Therefore, 1/6x1/6= 1/36.
When rolling three dice, we also need to consider the fact that there is a 1/6 chance of rolling any number. 6x6x6= 216.
If bolt thread length is normally distributed, what is theprobability that the thread length of a randomly selected boltis
a) Within 1.5 SDs of its mean value
b)Farther than 2.5 SDs from its mean value
c)Between 1 and 2 SDs from its mean value
Answers
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664, is farther than 2.5 SDs from its mean value is 0.0124 and between 1 and 2 SDs from its mean value is 0.2728.
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value P (μ - 1.5σ < X < μ + 1.5σ)= P(Z < 1.5) - P(Z < -1.5)Here, Z is the standard normal variable P(Z < 1.5) = 0.9332 (from standard normal table)P(Z < -1.5) = 0.0668 (from standard normal table) So, P (μ - 1.5σ < X < μ + 1.5σ) = 0.9332 - 0.0668= 0.8664
Thus, probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664. Probability that the thread length of a randomly selected bolt is farther than 2.5 SDs from its mean value P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = P (Z < -2.5) + P (Z > 2.5)P (Z < -2.5) = 0.0062 (from standard normal table)P (Z > 2.5) = 0.0062 (from standard normal table)
So, P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = 0.0062 + 0.0062 = 0.0124 Probability that the thread length of a randomly selected bolt is between 1 and 2 SDs from its mean value P (μ - 2σ < X < μ - 1σ) = P (Z < -1) - P (Z < -2) + P (Z < 1) - P (Z < 2)P (Z < -1) = 0.1587 (from standard normal table)
P (Z < -2) = 0.0228 (from standard normal table)P (Z < 1) = 0.8413 (from standard normal table)P (Z < 2) = 0.9772 (from standard normal table) So, P (μ - 2σ < X < μ - 1σ) = 0.1587 - 0.0228 + 0.9772 - 0.8413= 0.2728
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find the value of the question mark in the equation below (image)
Answers
Answer:
x = 12? = 12Step-by-step explanation:
Given equation,
→ 0.48 = ?/25
Let's change the symbol into x,
→ 0.48 = x/25
Now we have to,
→ Find the required value of x.
Then the value of x will be,
→ 0.48 = x/25
→ x/25 = 0.48
→ x = 0.48 × 25
→ [ x = 12 ]
Hence, the value of x is 12.
please help me please
Answers
Answer: The asnwer is 8
Step-by-step explanation:
Two circles centered at the origin are graphed on the coordinate plane. The smaller circle has a radius of 2 units and the larger circle has a radius of 8 units.
Select all of the transformations that will prove that the two circles are similar.
Answers
Rotation: Rotate the larger circle by the same angle as the smaller circle around the origin. Rotate the smaller circle by any angle. Although changing direction, this metamorphosis keeps the shape and size intact.
What is circle?Any point in the plane that is a certain distance from another point forms a circle (center). Thus, it is a curve formed up of points that are separated from one another by a predetermined distance in the plane. Moreover, at every angle, it is rotationally symmetric about the centre. The closed, two-dimensional plane of a circle has every pair of points equally separated from the "centre." By drawing a line through the circle, one can create a line of circular symmetry. Moreover, at every angle, it is rotationally symmetric about the centre.
If two circles have the same shape but different sizes, they are comparable. The circles are centred at the origin in this case, allowing us to compare their radii to see if they are equal. The ratio of the larger and smaller circles' radii is 8/2, or 4.
Translation: Move the smaller circle to the origin and the larger circle in the same direction to a place four times away from the origin. While changing location, this transformation keeps the object's shape and size.
Rotation: Rotate the larger circle by the same angle as the smaller circle around the origin. Rotate the smaller circle by any angle. Although changing direction, this metamorphosis keeps the shape and size intact.
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The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $3 and the admission
ticket for each child costs $2. On the opening day of the exhibition, 80 tickets were sold for a total of $180. How many adults visited the
special exhibition?
Answers
On the opening day of the exhibition, 30 adult tickets were sold.
Let's use the following variables to represent the number of adult and child tickets sold:
a: the number of adult tickets sold
c: the number of child tickets sold
From the problem, we will use linear equation system. we know that the total number of tickets sold is 80, so we have:
a + c = 80 (Equation 1)
We also know that the total revenue from ticket sales is $180, so we have:
3a + 2c = 180 (Equation 2)
We can use Equation 1 to solve for one of the variables in terms of the other:
c = 80 - a
Substituting this into Equation 2, we get:
3a + 2(80 - a) = 180
Simplifying this equation, we get:
a + 160 = 90
a = 30
Therefore, by using linear equation system, 30 adult tickets were sold on the opening day of the exhibition.
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A membership at a health club costs $560 per year. The club has a payment plan in which a member can pay $50 down and the rest in 12 equal payments. How much would the monthly payment be?
Answers
If the club has a payment plan in which a member can pay $50 down and the rest in 12 equal payments, the monthly payment is $42.50
To calculate the monthly payment for a health club membership with a payment plan, we first need to subtract the down payment of $50 from the total cost of $560. This leaves us with $510 to be paid in 12 equal monthly installments.
To find out how much each monthly payment would be, we divide the remaining balance ($510) by the number of months (12). Therefore, the monthly payment would be:
$510 ÷ 12 = $42.50
Therefore, A member would need to pay $50 down and $42.50 per month for the next 12 months to cover the cost of a $560 annual membership.
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ΔABC is translated 4 units to the left and 8 units up. Answer the questions to find the coordinates of A after the translation. 1. Give the rule for translating a point 4 units left and 8 units up. 2. After the translation, where is A located?
Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection?
5. Is the final figure congruent to the original figure? How do you know?
Answers
The rule is to minus 4 from the x-coordinate and add 8 to the other. The coordinates of A after the reflection are (-x,y). Thus, it is present to the left of the Y-axis. Yes, the final figure is congruent to the original figure.
To translate a point 4 units left and 8 units up, we subtract 4 from the x-coordinate and add 8 to the y-coordinate.
Now, let’s apply this rule to point A. If A has coordinates (x,y), then after translation it will have coordinates (x-4,y+8).
For the second question, we can find the new location of A by using the coordinates we just found. So if A was originally located at (x,y), it will now be located at (x-4,y+8).
To reflect a point over the y-axis, we negate its x-coordinate. So if A has coordinates (x,y), then after reflection it will have coordinates (-x,y).
Using this rule, we can find that after reflection over y-axis, point A will have coordinates (-x,y).
Finally, since translation and reflection are both rigid transformations, they preserve distance and angles between points. Therefore, the final figure is congruent to the original figure.
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Correct question is:
ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the translation.
1. Give the rule for translating a point 4 units left and 8 units up.
2. After the translation, where is A located?
3. Give the rule for reflecting a point over the y-axis.
4. What are the coordinates of A after the reflection?
5. Is the final figure congruent to the original figure? How do you know?
as the Earth revolves around the Sun it travels at a rate of approximately 18 miles per second convert this rate to kilometers per second. at this rate how many kilometers will the Earth travel in 10 seconds? in your computions assume that one mile is equal to 1.6 km. do not round your answer
Answers
Aproximate speed of the Earth's rotation around the Sun is 18.5 miles per second (30 km per second). 110,000 kilometers per hour is equal to 30 kilometers per second.
What is unitary method?"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."
We always count the unit or amount value first and then calculate the more or less amount value.
For this reason, this procedure is called a unified procedure.
Many set values are found by multiplying the set value by the number of sets.
A set value is obtained by dividing many set values by the number of sets.
Hence, Aproximate speed of the Earth's rotation around the Sun is 18.5 miles per second (30 km per second). 110,000 kilometers per hour is equal to 30 kilometers per second.
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How do you convert between exponential and logarithmic form?
Answers
If we have an equation in the form:
```
b^x = y
```
We can write this in logarithmic form as:
```
log base b (y) = x
```
For example, if we have the equation 2^3 = 8, we can write this in logarithmic form as:
```
log base 2 (8) = 3
```
To convert from logarithmic form to exponential form, we use the following rules:
If we have an equation in the form:
```
log base b (y) = x
```
We can write this in exponential form as:
```
b^x = y
```
For example, if we have the equation log base 2 (8) = 3, we can write this in exponential form as:
```
2^3 = 8
```
These conversions are useful in solving exponential and logarithmic equations and can help simplify expressions involving exponents and logarithms.
What is the length of the hypotenuse?
Answers
Answer:
13m
Step-by-step explanation:
pls mrk me brainliest
A markoting surviry is concluctod in when students are to tasto two diflorbet brands of soff drink. Their task is io corrocily idontify the brand tastod. A random sample of 190 students is taken. Assume that the stutents thove no ability to distingush betwoen the two brands. Comploto (a) through (d) below a. What is the probability that the sample will have between 50% and 55% of the identifications correct? (Round to four decimal places as needed.) b. The probability is 90 os that the sample percentage is contained within what symmetrical limits of the population percentage? Identify the limits of the population percentage. The lower limit is The upper limit is (Round to four decimal places as needed.) There is a 90% probability that the sample percentage will be contained within % symmetrically around the population percentage. (Round to the one decimal place as needed.) c. What is the probability that the sample percentage of correct A marketing survoy es conducted in which students are to taste two dilinrent brands of soft drink. Their task is to correctly identify the brand tasted. A tandom sample of 190 students e taken. Assume that the students have no ability to distinguish botween the two brands. Complete (a) through (d) beiow c. What is the probability that the sample percentage of correct identifications is greater than 65% ? (Round to four decimal places as needed.) d. Which is more likely to occur-more than 62% correct identifications in a sample of 190 or more than 56% correct identifications in a sample of 1,000? Explain.
Answers
a. The probability that the sample will have between 50% and 55% of the identifications correct is 0.2058.
b. The lower limit of the population percentage is 45% and the upper limit is 55%. There is a 90% probability that the sample percentage will be contained within 10% symmetrically around the population percentage.
c. The probability that the sample percentage of correct identifications is greater than 65% is 0.0432.
d. It is more likely to have more than 62% correct identifications in a sample of 190 than more than 56% correct identifications in a sample of 1,000. This is due to the larger sample size in the second case, which makes it less likely for the sample to deviate from the population percentage.
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pls aswer!!!
and give simple workingout
Answers
The n-ary rule for linear sequences is 7n - 1. The given sequence is an arithmetic sequence.
What is Arithmetic Progression?
Any two consecutive integers in a sequence are in "arithmetic progression" (AP) if their difference is constant.
The formula is given by Tn = a + (n - 1) d. where,
a, first term = 6 n, number of terms
d, binomial tolerance = 13 - 6 = 7
So substitute the value into the equations. It will be as follows.
Tn = a + (n - 1)d
= 6 + (n - 1)7
= 6 + 7n - 7
= 7n - 1
So the n term of this sequence is 7n - 1.
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If f(x)=4x+8 and g(x) = square root x+4, what is (f °g)(12)
Answers
For given functions f(x) and g(x), the value of (f °g)(12) is 24.
What exactly is a function?
In mathematics, a function is a rule that assigns to each input value (also called the argument) exactly one output value. The input values are typically drawn from a specific set, called the domain of the function, and the output values are drawn from another set, called the range of the function.
Now,
To find (f °g)(12), we need to first evaluate g(12) and then use the result to evaluate f(g(12)).
g(x) = √(x+4), so g(12) = √(12+4) = √16 = 4.
f(x) = 4x+8, so f(g(12)) = f(4) = 4(4) + 8 = 16 + 8 = 24.
Therefore,
The value of (f ° g)(12) = f(g(12)) = 24.
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The time required to play a certain board game is uniformly distributed between 15 and 60 minutes. Use the formula U = a +(b-a) RAND() for a uniform distribution between a and b to obtain a sample of 50 outcomes and compute the mean, minimum, maximum, and standard deviation. Determine the appropriate formula. U=15+(60-15) Fifty random values generated using the formula are now provided in the problem statement. Compute the mean.
Answers
The mean when the time required to play a certain board game is uniformly distributed between 15 and 60 minute is 35.6.
What is the mean?In statistics, the mean is a measure of central tendency that is calculated by summing up a set of numerical values and dividing by the number of values in the set. The mean is also known as the arithmetic mean or the average.
For example, suppose we have the following set of numbers: 3, 5, 7, 10, and 12. To find the mean, we add up these numbers (3 + 5 + 7 + 10 + 12 = 37) and divide by the number of values in the set (5). The mean of this set of numbers is 7.4, which represents the typical or average value of the set.
The formula for the mean is:
mean = (sum of values) / (number of values)
By using the Excel formula= AVERAGE (data), sample mean will be 35.6.
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What is the value of x, given that modifying above upper P upper Q with bar parallel to modifying above upper B upper C with bar ? The figure is triangle A B C with a segment from point P on segment A B to point Q on segment A C. Segment A P equals 9. Segment P B equals 18. Segment A Q equals x. Segment Q C equals 10.
Answers
After addressing the issue at hand, we can state that As a result, the equation value of x is roughly 10.57 units (rounded to two decimal places).
What is equation?An equation is a mathematical proclamation that proves the equality of two expressions capable of connecting through an equal sign '='. For instance, 2x - 5 = 13. Explanations include 2x-5 and 13. The '=' symbol links up the two expressions. A mathematical formula containing two formulas on either side of a =) (=) is known as an equation. It depicts the equivalence relationship between left and right methodologies. L.H.S. = R.H.S. (left edge = top half) in any formula.
Using the information provided, we can construct the following equation based on the concept of similar triangles:
x/(9+18) = 10/(BC) (BC)
9 + 18 = 27 = AB = AP + PB
Because triangle ABC is a right triangle (angle B is 90 degrees), we can apply the Pythagorean theorem to calculate the length of segment BC:
BC2 = AB2 - AC2 BC2 = 272 - 102 BC2 = 649 BC = sqrt (649)
When we plug this value into our original equation, we get:
x/(9+18) = 10/sqrt (649)
When we simplify, we get:
x/27 = 10/sqrt (649)
When we multiply both sides by 27, we get:
x = 270/sqrt (649)
As a result, the value of x is roughly 10.57 units (rounded to two decimal places).
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1x+9/2-5x-6/3=4x-3/3
Answers
Answer:
5.33333
Step-by-step explanation:
Given:
[tex]x + \frac{9}{2} - 5x - \frac{6}{3} = 4x - \frac{-3}{3}[/tex]
Make the denominators Equal
[tex]\frac{6x + 27-30x-12}{6} = \frac{24 + 6}{6}[/tex]
[tex]\frac{-24x + 15}{6} = \frac{24x+6}{6}[/tex]
Cross- Multiply :
[tex]6(-24x + 15) = 6(24x + 6)[/tex]
[tex]-144x + 90 = 144x + 36[/tex]
[tex]90 - 36 = 144x + 144x[/tex]
[tex]54 = 288x[/tex]
[tex]x = \frac{288}{54} = 5.3333[/tex]
Hope it helps.
pressure force area The force that a car exerts on the road is 15,600 N. Each of the car's 4 tyres has an area of 0.03 m² in contact with the road. Work out the pressure that the car exerts on the road, in N/m².
Answers
Answer:
To work out the pressure that the car exerts on the road, we need to divide the force by the area of contact between the car and the road.
Since each of the car's 4 tyres has an area of 0.03 m² in contact with the road, the total area of contact is:
Total area of contact = 4 × 0.03 m² = 0.12 m²
So, the pressure that the car exerts on the road can be calculated as:
Pressure = Force / Area of contact
Pressure = 15,600 N / 0.12 m²
Pressure = 130,000 N/m²
Therefore, the pressure that the car exerts on the road is 130,000 N/m².
The table shows information about
the weekly salaries of 20 people.
a) What is the modal class interval?
Weekly salaries (£x)
150 < x≤ 250
250 < x≤ 350
350 < x≤ 450
450 < x≤ 550
550 < x≤ 650
b) Work out an estimate for the mean of the weekly salaries.
Optional working
+
Answer: £
Frequency
2
8
0
7
3
< X<
(1)
(3)
Total marks: 4
Answers
Answer:
4
Step-by-step explanation:
The temperature at 6 A.M. was -5°F. By noon it was 17°F. What was the temperature range
those 6 hours?
Answers
Answer:
-5≤y≤17
Step-by-step explanation:
Answer: -5 to 17 degrees
Step-by-step explanation:
Find the following for each equation:
The rate of change?
State whether the y-values are increasing,
decreasing, or neither as x increases.
Give the y-intercept.
List the coordinates of two points that lie on the
graph of the equation.
a. y = 1.5x
b. y = −3x + 10
c. y = −2x + 6
d. y = 2x + 5
Answers
a) Rate of change: 1.5
b) Rate of change: -3
c) Rate of change: -2
d) Rate of change: 2, other values are calculated below.
Define the term equation?When two sides of a balance scale are equal, the equation will remain true.
a. y = 1.5x
Rate of change: 1.5 (which means that for every increase of 1 in x, y increases by 1.5)
Y-values increase as x increases
Y-intercept: 0 (the point where the line crosses the y-axis)
Two points: (0,0) and (2,3)
b. y = -3x + 10
Rate of change: -3 (which means that for every increase of 1 in x, y decreases by 3)
Y-values decrease as x increases
Y-intercept: 10
Two points: (0,10) and (3,1)
c. y = -2x + 6
Rate of change: -2 (which means that for every increase of 1 in x, y decreases by 2)
Y-values decrease as x increases
Y-intercept: 6
Two points: (0,6) and (3,0)
d. y = 2x + 5
Rate of change: 2 (which means that for every increase of 1 in x, y increases by 2)
Y-values increase as x increases
Y-intercept: 5
Two points: (0,5) and (3,11)
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PLEASE SHOW WORK!!!!!!!!!
Answers
He needed to save $15 over the remaining 2 weeks. This means she needed to save an average of $7.50 per week to reach her goal.
What distinguishes the weighted mean from the arithmetic mean?Both the arithmetic mean and the weighted mean may be used to determine the average of a group of integers. The sum of all the numbers in the group divided by the entire amount of numbers in the set yields the arithmetic mean. Regardless of significance or relevance, it gives each integer in the set the same amount of weight. On the other hand, the weighted mean gives the integers in the set distinct weights based on their significance or relevance. This indicates that certain numbers in the set provide a greater weighted mean contribution than others.
Given that, Bobbi's goal was to save an average of $7.00 per week.
Thus the amount saved is:
12 x $7 = $84.
He saved $5 for 11 weeks thus,
11 x $5 = $55.
Then in the 12th week the amount saved is:
$29 - $14 = $15.
Hence, she needed to save $15 over the remaining 2 weeks. This means she needed to save an average of $7.50 per week to reach her goal.
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If sin theta = 4/9, then what is the value of sin(pi - theta)
Answers
Sin(pi - theta) has a value of 4/9. sin(pi - theta) is equal to sin for any value of theta (theta). sin(pi - theta) has a value of 4/9.
We may calculate the value of sin(pi - theta) using the trigonometric identity sin(pi - theta) = sin(pi)cos(theta) - cos(pi)sin(theta):
Pi minus theta equals sin (pi)
cos(pi)sin - cos(theta) (theta)
We may simplify the expression to: since sin(pi) = 0 and cos(pi) = -1
0*cos(theta) - (-1)*sin = sin(pi - theta) (theta)
Pi minus theta equals sin (theta)
The value of sin(theta) can now be substituted to obtain:
Theta = 4/9 sin(pi - theta)
Hence, sin(pi - theta) has a value of 4/9.
The value of theta determines the value of sin(pi - theta). In terms of the trigonometric functions of theta, there is a generic formula to get sin(pi - theta): Pi minus theta equals sin (pi)
cos(pi)sin - cos(theta) (theta)
We may simplify the expression to: since sin(pi) = 0 and cos(pi) = -1
0*cos(theta) - (-1)*sin = sin(pi - theta) (theta)
Pi minus theta equals sin (theta)
Hence, sin(pi - theta) is equal to sin for any value of theta (theta).
Hence, sin(pi - theta) has a value of 4/9.
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You are building a solid concrete wheelchair ramp. The width of the ramp is three times the height, and
the length is 5 feet more than 10 times the height. If 150 cubic feet of concrete is used, what are the
dimensions of the ramp?
Answers
The dimensions of the ramp are approximately 1.73 feet in height, 5.19 feet in width, and 22.96 feet in length.
How to find the volume of concrete needed for the ramp ?First we can use the formula for the volume of a rectangular prism:
volume = length × width × height
Substituting the expressions we found for the length, width, and height in terms of h, we get:
150 cubic feet = (10h + 5 feet) × (3h feet) × (h feet)
Multiplying out the terms on the right-hand side, we get:
150 cubic feet = 30h^3 + 15h^2 cubic feet
Subtracting 150 cubic feet from both sides, we get:
0 = 30h^3 + 15h^2 - 150 cubic feet
Dividing both sides by 15 cubic feet, we get:
0 = 2h^3 + h^2 - 10
This is a cubic equation that we can solve using various methods as factoring. One solution is:
h ≈ 1.73 feet
Substituting this value back into the expressions we found for the width and length, we get:
The width is 3h ≈ 5.19 feet.
The length is 10h + 5 ≈ 22.96 feet.
Therefore, the dimensions of the ramp are approximately 1.73 feet in height, 5.19 feet in width, and 22.96 feet in length.
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When his first child was born, a father put $3000 in a savings account that pays 4% annual interest, compounded quarterly. How much will be in the account on the child's 18th birthday? Answer rounded to the whole number
Answers
Answer:
$6141
Step-by-step explanation:
We can use the formula for compound interest to find the amount in the account after 18 years:
A = P(1 + r/n)^(nt)
Where:
A = the amount in the account after 18 years
P = the principal amount (initial deposit) = $3000
r = the annual interest rate = 4% = 0.04
n = the number of times the interest is compounded per year = 4 (quarterly)
t = the time in years = 18
Plugging in these values, we get:
A = 3000(1 + 4%/4)^(4*18)
A = 3000(1.01)^72
A = 3000*2047
A = 6141
Rounding to the nearest whole number, we get:
A = $6141
Therefore, there will be $6141 in the account on the child's 18th birthday.
Kelly's taxable income is $50,000. Approximately what percent of her taxable income is her tax? Round to one tenth of a percent.
Answers
Approximately 24.1% of Kelly's taxable income is her tax.
What is percent?
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
To determine what percent of Kelly's taxable income is her tax, we need to calculate her tax liability first.
Assuming that Kelly files as a single taxpayer with no dependents and takes the standard deduction, her taxable income of $50,000 falls into the 22% tax bracket for the year 2021.
Using the IRS tax tables for 2021, Kelly's tax liability would be approximately:
$9950 + (0.22 * ($50,000 - $40,525)) = $9950 + $2095.50 = $12045.50
Therefore, Kelly's tax liability is approximately $12,045.50.
To calculate what percent of her taxable income is her tax, we can divide her tax liability by her taxable income and multiply by 100:
($12,045.50 / $50,000) * 100 = 24.09%)
Therefore, approximately 24.1% of Kelly's taxable income is her tax. Rounded to one tenth of a percent, this is 24.1%.
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Charlie has 1. 56 pounds of meat. He uses 0. 26 pound of meat to make one hamburger. How many hamburgers can Charlie make with the meat he has?
Answers
Charlie can make 6 hamburger form 1.56 pounds of meat if each uses 0.26 pounds.
The number of hamburger made by 0.26 pounds meat = 1
So, the number of hamburger possible from 1.56 pounds of meat = total amount of meat/amount of meat in one hamburger
Now, keep the values in formula to find the required answer
Number of hamburger = 1.56/0.26
Performing division on Right Hand Side of the equation to find the possible number of hamburger
Number of hamburger = 6
The 6 hamburger can be made from the meat.
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