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Serggg [28]
2 years ago
15

A principal of ​$5000 is invested in an account paying an annual rate of 7​%. Find the amount in the account after 5 years if th

e account is compounded​ semiannually, quarterly, and monthly.
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
8 0

Answer:

$7,012.76

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.07/1)(1)(5)

A = 5,000.00(1 + 0.07)(5)

A = $7,012.76

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.

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3 years ago
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Agata [3.3K]

Answer:

<h2>39.94 cm</h2>

Solution,

ABCD is a rectangle.

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AB= 50 cm

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<B= 90°

<h3>Using Pythagorean theorem:</h3>

{ac}^{2}  =  {ab}^{2}  +  {bc}^{2}  \\  {64}^{2}  =  {50}^{2}  +  {bc}^{2}  \\  {bc}^{2}  =  {64}^{2}  -  {50}^{2}  \\  {bc}^{2}  = 4096 - 2500 \\  {bc}^{2}  = 1596 \\ bc =  \sqrt{1596}  \\ bc = 39.94 \: cm

Hope this helps...

Good luck on your assignment..

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3 years ago
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