Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How much is the principle for account (A) ?3​

Answers

Answer 1

Answer:

The principal for the account is $375.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).

This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]

We want to find P.

[tex]E = P*I*t[/tex]

[tex]12 = P*0.032*1[/tex]

[tex]P = \frac{12}{0.032}[/tex]

[tex]P = 375[/tex]

The principal for the account is $375.


Related Questions

Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT

Answers

it should be C, im not 100% sure though.

Answer:

the answer is c because it is over xaxis

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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box.


A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall.

Answers

Answer:

Search for space diags

Step-by-step explanation:

you will find answer

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Answer: 480000 CM ^3

Explanation:

I hope this helped!

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g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)

Answers

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

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siny dy/dx=cosy (1-xcosy)

Answers

Step-by-step explanation:

hope it helpe...............

Can someone help please

Answers

Answer:

Angle 2 = 34 degrees

Angle 4 = 34 degrees

Step-by-step explanation:

Angle 7 = Angle 1

180 - 146 = 34 degrees

so Angle 2 and 4 are 34 degrees, since they are congruent.

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NEED HELP MY GRADE DEPENDS ON ITT!!!!!!!! I will mark brainliest answer.

find the value of f and g in the figure below.

Answers

Answer:

DONT PRESS THAT LINK

Step-by-step explanation:


Use the figure to find the Volume.

Answers

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Please answer the questions attached below

Answers

Answer:

Step-by-step explanation:

The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²

Area of parallelogram = 4 units²

:::::

area of blue parallelogram = 4×9 = 36 units²

:::::

area of green parallelogram = 3×5 = 15 units²

Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?

A-5
B-6
C-7
D-8
E-9

Answers

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

giving brainliest !!!!!

Answers

answer: 92/3(π)

formula for cylinder: π • r^2 • h
formula for sphere: 4/3 • π • r^3

plug in radius value (2) into the formulas and then find sum of the two volumes.

Find the slope of the line

O 1/3
O 6/2
0 -3/1
03/1

Answers

Answer:

6/2

Step-by-step explanation:

The slope of the given line is 3/1, Option D is correct.

The given line is passing through the points (1, 3) and (-1, -3)

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Plug in the values of points  (1, 3) and (-1, -3) in the formula.

m= -3-3/-1-1

=-6/-2

Divide numerator and denominator by 2

We get 3

Slope of the line is 3.

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Can somebody help me please

Answers

Step-by-step explanation:

First, find complete data.

That would be 2, 12 and 5, 30

Divide the output by the input to get the relationship/constant.

12/2 = 6     30/5 = 6

So...

1 x 6 = 6

and

48 / 6 = 8

9514 1404 393

Answer:

  (b)  Output 6, Input 8

Step-by-step explanation:

One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier

  output/input = 12/2 = 30/5 = 66/11 = 6

Then for input 1, output is 1×6 = 6.

For unknown input, we have ...

  input × 6 = 48

  input = 48/6 = 8

__

The two blanks are ...

 input: 8; output 6

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

What is the value of y in the equation 3(3y-12)=0

Answers

Answer:

y = 4

Step-by-step explanation:

use the distributive property

9y - 36 = 0

     +36  +36

9y = 36

divide by 9

y = 4

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change 5 feet 10 inches to centimetres

Answers

Answer:

177.8

Step-by-step explanation:

There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8

answer the questions, please I will give you 10 points

Answers

A) 3 times 7x makes it a normal number of 21.
B) using PEMDAS you must multiply 5 times 5 to put 5 to its own power, then multiply by 2 to get 50, then add 4 getting 54.
C) 9 times 5y gets the normal number of 45, then subtract that from 80, you get 35.

Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?

Answers

Step-by-step explanation:

If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)

Then take 2.8 miles times 3.5 hours is 9.8 miles

helppppppppppppppppppppppp

Answers

Answer:

E = N × C

for

E: earnings

N: number sold

C: cost

she will make:

50 × 1.25 = $62.5

Question here

I need help with this

Answers

cool can i have brainliest

Answer: nice the answer is ummmm I don’t know

Step-by-step explanation:

solution to 3x+4=3x+4

Answers

The results can be shown in multiple forms;

4 = 4, All real numbers, Always true, Interval notation: (-∞,∞).

Move all terms containing [tex]x[/tex] to the left side of the equation.

[tex]Subtract\\3x+4-3x=4\\[/tex]

Combine the opposite terms in [tex]3x+4-3x[/tex]

[tex]Subtract\\3x from 3x.\\\\0+4=4\\\\Add\\0+4=4 \\4=4*[/tex]

Since [tex]4=4[/tex] the equation will always be true.

simplify by distributive property 8-3(7m-3p)​

Answers

56m-21m+9p-24p

35m-15p

Draw arches over the numbers and just multiply the values. The arches help keep track of it.

Help rn ahhhh please

Answers

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

The tree diagram represents an
experiment consisting of two trials.
.3
.4
B

Answers

Answer:

.32

Step-by-step explanation:

.4x.8=.32

find the area of the right triangle.​

Answers

Answer:

16 units²

Step-by-step explanation:

1/2x4x8=16

please help me for brqinliest im imed​

Answers

Answer:

77°

Step-by-step explanation:

As we can see ABCD is a cyclic quadrilateral so opposite angles of a cyclic quadrilateral is supplementary.

< A + <B = 180° { being opposite angles of cyclic quadrilateral }

2x + 9° + 3x + 1° = 180°

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170° / 5

x = 34°

Now

< A = 2x + 9°

= 2 * 34° + 9°

= 77°

Hope it will help :)❤

-2 x -4 x -1 - -2 x -4

Answers

Answer:

-16

Step-by-step explanation:

(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy

Multiply first parenthesis:

= -8

Multiply second parenthesis:

= 8

Combine (subtract):

-8 - 8 = -16

Answer:

-32

Step-by-step explanation:

your required answer is

-2 × -4 × 1 × -4 = -32

What is 30 % of 69.95

Answers

Answer:

20.985

Step-by-step explanation:

How do I calculate 30 percent off?

Take the pre-sale price.

Divide the original price by 100 and multiply it by 30.

Take this new number away from the original one.

The new number is your discounted value.

The relationship between the height of a tree and the time snice the tree was planted?

Answers

Answer:

Answer: It´s correlated. Step-by-step explanation: The graph shows that the height of the tree increases as time passes, meaning that the more time that a three has been planted the more height it has, so there´s a direct correlation between the time passing and the height of the tree.

A sporting goods store is discounting all
sports balls 55%. Which value is equivalent to this
percent?
A. 15/25
B. 11/20
C. 5/10
D. 5/55

Answers

The answer is B because 11/20 = 0.55
Answer: 11/20

Explanation:
11/20 = .55
.55 = 55%

Brainliest???

Help math plzshnsndnfjc

Answers

Answer:

11 inches

Step-by-step explanation:

So first I don’t typically go with fractions so I broke 2 3/4 down into a decimal which is:

2.75

Then the index card is

4 by 2.75

Then you multiply the sides

4 x 2.75

= 11 inches

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