Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.
5. During a game of golf, Kayley hits her ball out of a sand trap. The height of the golf ball is modeled by the
equation h=-16r² + 20 - 4, where h is the height in feet and is the time in seconds since the ball was hit.
Find how long it takes Kayley's golf ball to hit the ground.
a. Write the equation that you are trying to solve.
b. Solve the equation by factoring.
Answer:
(a) [tex]\sf -16r^2+20r-4=0[/tex]
(b) r = 1, r = 1/4
Step-by-step explanation:
Given equation: [tex]\sf h=-16r^2+20r-4[/tex]
where:
h = height (in feet)t = time (in seconds)Question (a)
The ball will hit the ground when h = 0
[tex]\sf \implies-16r^2+20r-4=0[/tex]
Question (b)
To factor [tex]\sf -16r^2+20r-4=0[/tex]
Divide both sides by 4:
[tex]\sf \implies-4r^2+5r-1=0[/tex]
Swap signs:
[tex]\sf \implies 4r^2-5r+1=0[/tex]
Split middle term:
[tex]\sf \implies 4r^2-4r-r+1=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\sf \implies 4r(r-1)-(r-1)=0[/tex]
Factor out common term (r - 1):
[tex]\sf \implies (4r-1)(r-1)=0[/tex]
Therefore:
[tex]\sf \implies (4r-1)=0 \implies r=\dfrac14[/tex]
[tex]\sf \implies (r-1)=0 \implies r=1[/tex]
PLEASE HELP
A group of friends wants to go to the amusement park. They have $272 to spend on parking and admission. Parking is $7.75, and tickets cost $37.75 per person, including tax. How many people can go to the amusement park?
Answer:
7 people
Step-by-step explanation:
Given:
$272 total money for all friends
parking costs $7.75 for all
tickets cost $37.75 per person
Solution;
Take away the money for parking to see how much money we have left for tickets
272 - 7.72 = $ 264.25
We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for
264.25 / 37.75 = 7
If we have money for 7 tickets then 7 friends can go to the amusement park.
hey hi hello whats up can someone help me with this please??........ thank you! :)
Sure!
The hundredths place is the second in a decimal.
with rounding, if the number is greater than or equal to 5, you round up, if not, you round down.
In this case we round up because 9 is bigger than 5.
So, it becomes 6.79
Therefore your answer is B
The scores of an eighth-grade math test have a normal distribution with a mean mu = 83 and a standard deviation sigma = 5. if din’s test score was 92, which expression would she write to find the z-score of her test score? z = startfraction 92 minus 83 over 83 endfraction z = startfraction 83 minus 92 over 5 endfraction z = startfraction 92 minus 83 over 5 endfraction z = startfraction 5 minus 83 over 92 endfraction
The z-score is the ratio of the difference of sample and means to the standard deviation. Then the correct option is A.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The scores of an eighth-grade math test have a normal distribution with a mean of 83 and a standard deviation of 5. If the x is 92. Then the test score will be
The z-score will be given as
[tex]z = \dfrac{x - \mu}{\sigma }\\\\z = \dfrac{92 - 83 }{5}[/tex]
More about the z-score link is given below.
https://brainly.com/question/15016913
Answer:
A
Step-by-step explanation:
edge 2022
Generate an equivalent expression for 24x+18y by factoring out the GCF
The GCF of 24x and 18y is their greatest common factor
The equivalent expression of 24x + 18y is 6(4x + 3y)
How to determine the equivalent expression?The expression is given as:
24x + 18y
Express each term as the product of 6
24x + 18y = 6 * 4x + 6 * 3y
Factor out 6 from the expression
24x + 18y = 6 (4x + 3y)
Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)
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help, A or B! pic is below
Answer:
I think b
Step-by-step explanation:
brainliest and 50 points
find the area of the regular polygon.
A) 187.2
B) 887.5
C) 110.4
D) 63
Answer:
A) 187.2
Step-by-step explanation:
Area of a regular polygon = 1/2(apothem × perimeter)
The perimeter of the triangle can me calculated by multiplying the side length by 3 ( because the polygon shown has 3 sides )
Side length = 20.8 , so perimeter = 3 × 20.8 = 62.4
Now we can find the area
Remember area of a regular polygon = 1/2(apothem × perimeter)
Apothem = 6 and perimeter = 62.4
So area = 1/2(6×62.4)
==> multiply 6 and 62.4
area = 1/2(374.4)
==> multiply 374 and 1/2
area = 187.2
When Allison calculated her mean for 5 tests she got a score of 82, however, she later realized that she had written 96 instead of 86. what is the correct mean score of the 5 test grades?
Mathematics
20. A teacher drew an area model to find the value of 6,986 +8.
Teacher's Model for 6,986 +8
R
Р
N
800
Q
8
560
M
UNIZ
not to scale
• Determine the number that each letter in the model represents and explain
each of your answers.
• Write the quotient and remainder for 6,986 + 8.
Explain how to use multiplication to check that the quotient is correct. You
may show your work in your explanation.
Enter your answers and your explanations in the space provided.
.
Can someone please help me asap ill give the most point to whoever answers first and CORRECTLY
Answer:
y+2 if this is correct can u mark me brainliest?
Mathew finds the deepest part of the pond to be 185 meters
Which measurement describes the depth of the pond?
[tex]\sqrt{196} = 14[/tex], and since [tex]\sqrt{185[/tex] is less than [tex]\sqrt{196}[/tex], the deepest part of the pond is less than 14.
-> The depth of the pond is between 13 and 14 meters.
Or, you can just calculate [tex]\sqrt{185}[/tex] = 13.6014... (between 13 and 14)
The measurement describes the depth of the pond is Between 13 and 14 meters.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Since one side measure 14, and the height (depth) could not be higher than 14 meters .
The length of the pond can be calculated using the Pythagorean theorem as;
length^2 = 36^2 + 14^2
length^2 = 1296 + 196
length^2 = 1492
length = 38.6 m
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Find the volume of the cone
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.
Answer:
Step-by-step explanation:
the circumference for the circle is 23 yd.
- A store lowered all prices by 10%. By how
much will the price of a $35 item be lowered?
111
Answer:
so, it's 0.1x35=3.5
it will be lowered by 3.5 dollars
Answer:
$31.50
Step-by-step explanation:
Original price: $35
Discount percentage:
10%
Results
Discount: $3.50
Final Price: $31.50
Details
Discount = Original Price x Discount %/100
Discount = 35 × 10/100
Discount = 35 x 0.1
You save = $3.50
Final Price = Original Price - Discount
Final Price = 35 - 3.5
Final Price = $31.50
What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²
Surface area
6a^26(20)^2400(6)2400cm^2The results of a standardized test are normally distributed. The mean test score is 312. Of the scores, 16% are under 307. What is the standard deviation?
A: 10
B:5
Answer:
the answer is B five
Step-by-step explanation:
three hundred and seven minus three hundred and twelve
please answer this inequality question
the answer choices are
A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches
Check the picture below.
[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]
Nick is a distance runner. He ran a mile race in Seattle Washington in a time of 4 minutes and
2 seconds. Two weeks later at a meet in Vancouver he ran a 1500 m race in a time of 3 minutes
and 59 seconds. In which race was his average speed the fastest. (convert to feet per second)
Answer:
good movie and good 8th street is the perfect way to go with your new year's day reaction and today's fun and fun hanged in
If m greater-than-or-equal-to n, which inequalities must be true? check all that apply. m 2.1 greater-than-or-equal-to n 2.1 m - (-4) greater-than-or-equal-to n -(-4) m - 3 greater-than-or-equal-to n 3 16.5 m greater-than-or-equal-to 16.5 n m greater-than-or-equal-to n one-half 6 m greater-than-or-equal-to 9 n
The true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
How to determine the true statements?The inequality is given as:
m > n
When the same constant k is added to both sides of the inequality, we have:
m + k > n + k
This means that the following inequality is true
m + 2.1 > n + 2.1
When the same constant k is subtracted from both sides of the inequality, we have:
m - k > n - k
This means that the following inequality is true
m - (-4) > n - (-4)
Also, if a greater constant is added to m, then the inequality still remains the same.
This means that the following inequality is true
9 + m > 6 + n
Hence, the true statements are m + 2.1 > n + 2.1, m - (-4) > n - (-4) and 9 + m > 6 + n
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Answer:
It´s actually A, B, D
Step-by-step explanation:
solve major part of my grade <33
0 3 6 9 12 15 18
(each tick mark = +3)
Ben used 130. 2 pounds of gravel in his front yard and 110. 4 pounds in his back yard. How many more pounds of gravel does Ben use in his front yard than his back yard?
Answer:
19.8
Step-by-step explanation:
Subtract 130.2 by 110.4
What is the x -value of the ordered pair (0, 4)?
which table of inputs values, x, and output values, y, represents functions
select each answer
Answer this question
And I give you stars in return :-)
Answer: 48/44
Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.
area of square: side²
=======
side² = 121
side = √121
side = 11 cm
====
perimeter of square:
4(side)4(11)44 cmii)
total distance she ran = perimeter of square * 5
distance = 44 * 5
distance = 220 cm
i need answer please a 78 b 204 c 102 d 51
Identify the type of conic section that has the equation 16x^2 + 4y^2 = 16 and identify its domain and range.
16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
What is Conic Section?A conic section, conic or a quadratic curve is a curve obtained from a cone's surface intersecting a plane.
The given equation is 16x²+ 4y² = 16.
Divide both sides by 16.
x²/1 + y²/4 = 1
This is the equation of an ellipse.
It is an ellipse centered at the origin, with semi-major axis length of 2 and semi-minor axis length of 1.
Since the x² term is not negative, the domain is all real numbers.
The range of the ellipse is the range of y-values that make the equation true.
Since the y² term is not negative, the range is all real numbers as well. However, since the ellipse is centered at the origin, the range is bounded by -2 and 2, which are the y-coordinates of the endpoints of the major axis. Therefore, the range is -2 ≤ y ≤ 2.
Hence, 16x²+ 4y² = 16 is an equation of ellipse, domain of the equation is all real numbers and the range is -2 ≤ y ≤ 2.
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Answer:
ellipse; Domain: {-1≤y≤1}; Range: {-2≤y≤2}
Step-by-step explanation:
Graph the equation. An ellipse has two lines of symmetry, the x-axis, and the y-axis. The domain is the set of all real numbers with x, written as -a ≤ x ≤ a. The range is the set of all real numbers with y, written as -b ≤ y ≤ b.
you roll a standard number cube 180 times. predict how many times you will roll a 2 or a 3
Answer:
60 times.
Step-by-step explanation:
Prob( of rolling a 2) = 1/6
Prob( of rolling a 3) = 1/6
So Prob( 2 or 3) = 1/6 + 1/6 = 1/3,
So the prediction is 1/3 * 180 = 60.
giving 15 points please help
Answer:
6
Step-by-step explanation:
if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.
Please help . Giving brainliest. Only question NUMBER 5 .
Answer:
48.8
Step-by-step explanation: The equation for the area of a circle is π*r², since the base of a cylinder is a circle we take the equation of a circle and multiply the height of the cynlinder by using the equation π*r²*h to get the volume of a cylinder. In this case our factors are
π= 3.14
r²= 6.76
h=2.3
3.14*6.76*2.3=48.82072
rounded to the nearest tenth=48.8
Hope this helps you!
Mark me brainleast!!!!!
An angle measures 88° more than the measure of its complementary angle. What is the measure of each angle?
Could you guys help me with this?
Answer:
It might be a two degree angle! :)
Step-by-step explanation: