Total balance in the account after 7 months is 2849.737$
It is given that Timothy deposits $2780.20 in a savings account
It is given that rate of interest is 4.3 % and it of the simple interest nature.
We are required to find the account balance of Timothy's account in 7 months
We know that formula of simple interest is given by
(principal x rate x time)/100
where principal is the amount put for investing
rate is the rate at which the person is going to earn
time is the time for which the amount is to be invested
Now the time that is given to us in the form of months and hence we must convert it into years form
1 year =12 months
therefore, 7 months = 7/12 years
Now applying this value to calculate the simple interest earned
Let the simple interest be 'SI'
principal = $2780.20
rate = 4.3%
time = 7/12 years
SI= (2780.20x 4.3 x 7)/100 x 12
= 69.737$
The balance in Timothy's account will be original amount + the simple interest
Total balance after 7 months = 2780.20+69.737
=2849.937$
Hence total balance in the account after 7 months is 2849.737$
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1/5 x - 4 = 3
maths exercise 4.4 1st question b part
class 7
The value of x in the expression is 35
How to calculate the value of x in the expression ?The expression is written as
1/5x - 4 = 3
collect the like terms of both sides to get the value of x
1/5x = 3 + 4
1/5x= 7
Divide both sides by the coefficient of x which is 1.5
1/5x ÷ 1/5 = 7 ÷ 1/5
x= 7 ÷ 1/5
x= 7 × 5/1
x= 35
Hence the value of x in the expression is 35
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According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not blue.
_______________________
Compute the probability that a randomly selected peanut M&M is blue or green.
___________________
Compute the probability that three randomly selected peanut M&M’s are all orange.
__________________
If you randomly select three peanut M&M’s, compute that probability that none of them are orange.
_______________________
If you randomly select three peanut M&M’s, compute that probability that at least one of them is orange.
_______________________
a) P(BL') = 0.77
b) P(BL) + P(G) = 0.380
c) 0.012167 = 0.012 to 3 d.p
d) 0.456533 = 0.456 to 3 d.p
e) 0.543467= 0.543 to 3 d.p
Probability of brown M&M's = P(Br) = 0.12
Probability of yellow M&M's = P(Y) = 0.15
Probability of red M&M's = P(R) = 0.12
Probability of blue M&M's = P(BL) = 0.23
Probability of orange M&M's = P(O) = 0.23
Probability of green M&M's = P(G) = 0.15
Total probability = 1
a) The probability that a randomly selected peanut M&M is not blue = 1 - P(BL) = 1 - 0.23 = 0.77
b) Tblue he probability that a randomly selected peanut M&M is blue or green = P(BL) + P(G) = 0.23 + 0.15 = 0.38
c) The probability that three randomly selected peanut M&M's are all orange= P(O) × P(O) × P(O) = 0.23 × 0.23 × 0.23 = 0.012167
d) If you randomly select three peanut M&M's, compute that probability that neither of them are orange
This probability = P(O') × P(O')×P (O')
P(O') = 1 - P(0) = 1 - 0.23 = 0.77
P(NO)=P(O') × P(O') × P(O')= 0.77 × 0.77× 0.77 = 0.456533
e) If you randomly select three peanut M&M's, compute that probability that at least one of them is Orange
let the probability of at least 1 of them being orange be P(AO)
let the probability of none of them being orange be P(NO)
we know that
P(AO) = 1- P(NO)
= 1- 0.456533
= 0.543467
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estimate 54.68 +93 (please explain in number form as possible)
Answer:90+55=145
Step-by-step explanation:
54.68+93 is about 55+90 or 55+100
55+100=155
90+55=145
54.68+93=147.68
A rectangle has a perimeter of 24 units. If the rectangle is dilated so that its new perimeter is 12 units, what is true about the dilation?
The dilation is an enlargement.
The dilation has a translation factor of 2.
The dilation has a scale factor of 2.
The dilation has a scale factor of 0.5.
The true statement about the dilation is (d) The dilation has a scale factor of 0.5.
How to determine the true statement?The given parameters are
Initial perimeter = 24 units
New perimeter = 12 units
The scale factor of dilation is calculated as
Scale factor = New perimeter/Initial perimeter
So, we have
Scale factor = 12/24
Evaluate
Scale factor = 0.5
Hence, the true statement about the dilation is (d) The dilation has a scale factor of 0.5.
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Solve the equation.
8n - (2n+5) = 19
(Simplify your answer.)
Answer:
6n-5
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST!!!!!!Which is a qualitative graph? On a coordinate plane, a line with positive slope goes through points (negative 1, 0) and (0, 3).
On a coordinate plane, points are at (0, 2), (1, 3), (2, 2.5), (3, 3), (4, 4), and (4.5, 5). A graph has time on the x-axis and height on the y-axis.
The graph increases to point A, increases to point B, and then decreases to point C. A graph has time on the x-axis and height on the y-axis.
Segment A increases, segment B is increases, and segment C decreases.
The qualitative graph is described as follows:
Segment A increases, segment B is increases, and segment C decreases.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.For the first three graphs, the line and the heights both represent numerical values, hence they are quantitative variables.
This leaves only the last graph, with the segments, as a qualitative variable.
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Answer: This would be D
Step-by-step explanation: A up B up, then c crashes down. But since its qualitative instead of being numbers, they're names like time and height.
60 PTS, BRAINLIEST, 5-STAR, THANKS.
Consider the following polygon. Determine the measure of both angles A and B. Show your work. (Note: image is not drawn to scale)
Step-by-step explanation:
Add everything and then equate it to 360 and when you have found x, substitute it in A and B
A triangular plot of land has one side along a straight road measuring 294 feet. a second side makes a 63degrees angle with the road, and the third side makes a 56degrees angle with the road. how long are the other two sides?
Answer:
Divide it to 2 triangles and use cos role
I need help with questions 7 and 8 of the questions I’ll mark brainliest
7. If jenny uses 24 yards of blue yarn then, she needs to use 6 yards of white yarn to make a scarf.
8. Jenny cannot use 42 yards of blue yarn and maintain the same ratio of blue to white yarn since the values of the two fabrics are different.
Given, Jenny wants to make a scarf that uses 24 yards of blue yarn.
how many yards of white yarn will she need = ?
from the given situation:
let the blue yarn be x yards.
and the white yarn be y yards.
Jenny uses blue yarn, 4 times the number of yards of white yarn.
⇒ x = 4y
therefore, scarf = blue yarn + white yarn
= x + y
= 4y + y
given that jenny uses 24 yards blue yarn.
therefore,
4y + y = 24 + y
5y = 24 + y
5y - y = 24
4y = 24
y = 24/4
y = 6
hence she needs to use 6 yards of white yarn.
8. If Jenny uses 42 yards of blue yarn then :
4y + y = 42 + y
5y = 42 + y
5y - y = 42
4y = 42
y = 21/2
y = 10.5
hence ratio of blue yarn to white yarn is:
42:10.5
both are not same , hence she can't keep the same ratio while using 42 yards of blue yarn
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Joyce's dad packs her lunch and always packs a yogurt. Joyce knows there are five yogurts in the refrigerator: one raspberry, two strawberry, one blueberry, and one vanilla. Her dad usually reaches into the refrigerator and randomly grabs a yogurt. which flavor is she most likely to have in her lunch today?
She is most likely to get strawberry in her lunch today.
This problem can be understood if we know the concept of probability.
In probability we just have to calculate what are the chances of any favorable outcome to occur by dividing with the total number of outcomes.
Here, Joyce's dad packs her lunch with one Yoghurt everyday.
And there are 5 yoghurts in the refrigerator.
The probability of getting raspberry flavor = 1/5
The probability of getting a strawberry flavor is = 2/5
The probability of getting a blueberry flavor is = 1/5
The probability of getting vanilla flavor is = 1/5
So, the highest probability is of getting strawberry flavor.
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Is this table proportional?
No, this table is not proportional
You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are, all the same, the table shows a proportional relationship.
Let us understand this by looking at the table provided
1st value is 1/5
2nd value is 3/10
We have to check whether the table is proportional or not
If the 1st value will be equal to the 2nd value then we can say that the table is proportional, otherwise, the table is not proportional
1/5 ≠ 3/10
We can say that table is not proportional. There is no need to check for other values as the condition becomes unsatisfied for the first two values.
Final answer: No, this table is not proportional
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Write the equation of each line in slope-intercept form.
Please help!!
Translate the following into an expression or equation.
Five more than twice a number.
Answer: 5>x
Step-by-step explanation: hope this right
Answer: 2x+5
Step-by-step explanation:
Five more is adding 5
Twice a number would be 2 times something so we use a variable as "a number"
The area of this square is one hundred twenty-one square centimeters. What is the length of one side of this square?
Answer: 11
Step-by-step explanation:
Answer:
11 square centimeters
Step-by-step explanation:
The area of a rectangle is length times width. A square is a type of rectangle that has four equal sides, so if we know one side we know all four.
A = l x w
121 = l x w
Since we know l and w are equal we can take the square root of 121, which is 11.
A spinner with 6 equally sized slices has 2 blue slices, 1 red slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue slice?
Write your answer as a fraction in simplest form.
Answer:
3/6
Step-by-step explanation:
i think
Aircraft A has 127 seats more than aircraft B. If their total number seats it 505, find the number of seats for each aircraft
In linear equation ,316 is the number of seats for each aircraft .
What are instances of linear equations?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Aircraft B: x seats
Aircraft A: x+ 127 (127 more than B)
Total seats on both is 505.
So, x+127+x = 505
Combine like terms
2x+127 = 505
Subtract by 127 both sides
2x = 505-127 = 378
Divide by 2 on both sides
x = 189 seats (B)
x + 127 =189 + 127 = 316 (A)
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x + 2 ≥10 and 5x - 7≥3
Answer: x≥8
Step-by-step explanation:
x + 2 ≥10 and 5x - 7≥3
x+2-2≥10-2
x≥10-2
x≥8
5x - 7≥3
5x - 7+7≥3+7
5x≥10
x≥2
x≥2 and x≥8 ==> x≥8 since for both equations, x≥8, but x can't be greater than 2 and less than 8.
pls help with math. :(
Answer:
I would say 9 miles
Step-by-step explanation:
He would have to be HAULING it to run 6 miles in 8 minutes lol.
But, I think it's 9 miles
Answer:
Tom will run 9 miles in 12 minutes.
Step-by-step explanation:
Susan Marciano invested part of her 29000 bonus in a fund that paid an 11
% profit and invested the rest in stock that suffered a 4% loss. Find the amount of each investment if her overall net profit was 2740.
The amount invested in the in account that had an 11% profit is $26,000
The amount invested in the in account that had a 4% loss is $3,000.
What are the linear equations?a + b = 29,000 equation 1
0.11a - 0.04b = 2740 equation 2
Where:
a = amount invested in the account that had an 11% profit
b = = amount invested in the account that had a 4% loss
How much was invested in each account?
Multiply equation 1 by 0.11
0.11a + 0.11b = 3190 equation 3
Subtract equation 2 from equation 3
0.15b = 450
Divide both sides of the equation by 0.15
b = 3000
Subtract 3000 from 29,000
a = 29,000 - 3,000 = 26,000
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please refer to the image!!
The expression for f(x) is -3x² - 2
What are different form of Transformation ?Transformation can be any of the following.
TranslationalRotationalReflectionEnlargementGiven that g(x) = -3x² + 7
if the graph of g is translated vertically downward by 9 units, that means to get f(x), minus 9 from g(x). That is,
f(x) = -3x² + 7 - 9
f(x) = -3x² - 2
Therefore, the expression for f(x) is -3x² - 2
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Brandon has a jar of quarters and dimes with a total value of $8.80. The number of quarters is 8 less than twice the number of dimes. How many quarters and how many dimes does Brandon have? Number of quarters = Number of dimes =
The no. of quarters will be 4 and no. of dimes will be 6.
It is given that Total value of jar of quarters and dimes = $8.80
We have to found the no. of quarters and no. of dimes.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.
As per the question ;
Total value of jar of quarters and dimes = $8.80
Also ;
Number of quarters is 8 less than twice the number of dimes.
Let's assume the number of dimes be x.
So ;
The no. of quarters = 2x - 8
and
Total value will be equal to ;
2x - 8 + x = 8.80
3x = 16.80
x = 16.80 ÷ 3
or
No. of dimes = x = 5.6 ≈ 6
And no. of quarters will be ;
= 2 × 6 - 8
= 12 - 8
= 4
Thus , the no. of quarters will be 4 and no. of dimes will be 6.
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HELP URGENT how many minutes does it take for omar to print the pages on tuesday?
An equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
We have been given Omar uses a laser printer that prints 30 pages per minute.
So, the rate of printing = 30 pages/ minute
On Monday, he prints 8 pages.
Omar prints a total of 143 pages on Monday and Tuesday.
So, the number of pages printed on Tuesday are:
143 - 8 = 135
So On Tuesday, Omar prints 135 pages.
let m be the amount of time, in minutes, he spends printing on Tuesday.
We need to find an equation to model the amount of time Omar spends printing on Tuesday.
number of pages printed = (rate of printing) × (amount of time, in minutes)
Using this formula for given example, we get an equation,
135 = 30 × m
Therefore, an equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.
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Your question was incomplete. Please refer the content below
Omar uses a laser printer that prints 30 pages per minute. on Monday, he prints 8 pages. on Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. let m be the amount of time, in minutes, he spends printing on Tuesday. part a create an equation using m to model the amount of time Omar spends printing on Tuesday.
Raymond has saved $50, and Felicia has saved $30. Each week, Felicia saves $15 and Raymond saves $10.
The following is true:
n=the number of weeks
R= the amount Raymond saves
F=the amount Felicia saves
Create equations to represent how much Raymond and Felicia will save after n weeks.
Answer:
50+10n for Raymond and 30+15n for Felicia
Step-by-step explanation:
N is for the amount of weeks times the amount saved per week then add the amount saved in the beginning.
A decimal number has 2 digits to the right of it's decimal point. If we round it to the nearest tenth, the result is 18.6. What is the maximum possible value of this decimal ?
This number can have a maximum value of 18.64.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. Non-recurring (non-repeating or terminating, for example), recurring (repeating or non-terminating, for example), and decimal fractions are the three types of decimals (a.k.a. converting a decimal into a fraction whose denominator is a power of ten).So, when rounded to the nearest tenths, the number is 18.59.
Now, look at the number to the right of it.If that number is 5 or higher, we round the 5 to a 6.But if that number is 4 or lower, the number remains a 5.18.55 rounded to the nearest tenths equals 18.6 (because the number to the right of 5 is 5, we round up to 18.6)18.54 rounded to tenths = 18.5 (because the number to the right of the 5 is 4, so we round it to 18.5).Therefore, this number can have a maximum value of 18.64.
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define terminating.math
Answer:numbers
Step-by-step explanation:
numbrres and letters
1/2 of the candles on Claire's birthday cake are pink of the candles are green. The rest 2/10 are red What fraction of the candles is red?
According to the solving the fraction of the candles is red = 7/10.
What exactly is a fraction in mathematics?A fraction is a portion of a whole. In arithmetic, each number is represented as a quotient, which is the numerator divided by the denominator. In a simple fraction, are both integers. A complicated fraction contains a fraction in either the numerator or denominator.
How do you calculate a fraction?To calculate a fraction of either a number, divide it by the fraction's denominator, then multiply the result by the fraction's numerator. For example, if we wanted to figure out what 3/8 of 24 is, we might divide 24 by 8. (the denominator of the fraction).
According to the given data:Let 1 would be the total,
So,
2/10 are green.
1/2 of 1 is 1/2, so 1/2 candles are pink.
1/5+1/2.
1/5+1/2 = red candles
there is ultimately 7/10 candles that are red.
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I understand that the question you are looking for is:
1/2 of the candles on Claire's birthday cake are pink. 2/10 of the candles are green. The rest are red. What fraction of the candles is red?
The quadrilateral ABCD is to be reflected across the line y = x, as shown in the diagram, to give a new quadrilateral, A'B'C'D'
B
A
7
6
5
4
3
4
-2
-3
-4
-8-7-6-5-4-3-2-1 1 2 3 4 5 6 7 8
-5
-6
D
-7
y=x
What are the coordinates of A?
Using translation concepts, the coordinates of A' are given as follows:
A' (6,-2).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a translation over the line y = x is given by:
(x,y) -> (y,x).
The coordinates of A are (-2,6), hence the coordinates of A' are given as follows:
A' (6,-2).
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Use function notation to write the equation of the line.
please help
Answer:
f(x)=3
Step-by-step explanation:
equal to y=3 because the lime is horizontal meaning each point has the same y value
Write this number in standard form.
2.52 x 10^-6
The given number in the standard form is 0.00000252
The given number is 2.52 × 10⁻⁶.
The given number is in scientific notation.
The general format of scientific notation is a × 10ⁿ where a is a number or decimal number satisfying the condition, 1 ≤ |a| < 10. n is the power of 10 required so that the scientific notation is equivalent to the original number.
2.52 × 10⁻⁶
= 2.52 × (1/10⁶) (Apply the exponent rule: a⁻ⁿ = 1/aⁿ)
= (2.52 × 1)/10⁶ (Multiplication of fractions a × (b/c) = (a × b)/c)
= 2.52/10⁶
= 2.52/1000000 (Use 10⁶ = 1000000)
Divide the number 2.52 by 1000000, and we get
= 0.00000252
Therefore, the given number in the standard form is 0.00000252.
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It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time required to walk from the first to sixth floors is 132.5 seconds.
fundamental arithmetic operations:There are four fundamental arithmetic operations: addition, subtraction, multiplication, and division. Among these four procedures, division is one of the most important in our daily tasks. It is the division of a large group into equal smaller groups. Divide 25 by 5, for example. For this example, the division fact will be 25 /5 = 5.
According to the given data:Given:
It takes 53 seconds to walk from the first to the third floor.
There are two floors between the first and third floors.
So, assuming that each floor is the same height, we can state that the number of seconds it takes to travel to one story is 53/2.
We have,
= 53/2
= 26.5 sec
From the first to the sixth story, there are 5 stores.
As a result, the time required to walk from the first to sixth floors is:
= 26.5 x 5
= 132.5 sec
Also can be written as:
132.5 seconds
= 2.20 minutes
= 2 minutes 12 seconds
As a result, the time required to walk from the first to sixth floors is 132.5 seconds.
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