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lana66690 [7]
3 years ago
15

Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual

interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?
Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.

Step-by-step explanation:

Compound interest = P((1+r)^t-1)<em> , </em>P= principal , r= rate of interest , t= time

Given: P = $5000 , t= 3 years

For Shani , r= 4% = 0.04

Compound interest = 5000((1+0.04)^3-1)

=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32

For William, r= 6%= 0.06

Compound interest = 5000((1+0.06)^3-1)

=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08

Difference = $ ( 955.08- 624.32)

= $ 330.76

Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.

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7-(-4) is 11. You must make the subtraction symbol in the middle to addition, since you have 2 negatives. Two negatives = postive. So after you do that it would be 7+4=11

Hope this helped!

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3 years ago
How much does each child receive for school supplies?
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$13.5

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3 years ago
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Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

5 0
2 years ago
A prism with a length of 4 inches, height of 4 inches, and width of 3 inches. How many more 1 in. cubes does the container need
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There are 10 number of 1 cubic inches box required to fill the container completely.

<h3>What is a cuboid?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

A prism with a length of 4 inches, height of 4 inches, and width of 3 inches.

The volume of the prism box = 4×4×3 = 48 cubic inches

Here some data are missing.

We are assuming there are 38 1 cubic inches box already in the big box.

So,

= 48 - 38

= 10

Thus, there are 10 number of 1 cubic inches box required to fill the container completely.

Learn more about the cuboid here:

brainly.com/question/9740924

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2 years ago
Rob Polanski is a tractor salesman. Last week his total sales amounted to $38,642.00, and he received $2,704.94 in commission. W
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To find the rate of commission, divide the amount of commission by his total sales:

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The answer is D. 7%

7 0
3 years ago
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