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ollegr [7]
3 years ago
8

Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial

investment, Evan invests $10,000 in an account earning 7% interest, compounded annually for 7 years. Given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar
Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0

The formula to find the amount is A=P(1+r)^{n}

here A is amount

P is the principal

'r' is the rate of interest

n is the number of years.

Case 1.

Stevan invests

P =$ 20,000

r = 3% = 0.03

n = 10 years

A= 20,000(1+0.03)^{10}= 26878.33

Hence the interest earned

= A - P = 26878.33 - 20000 = $6878.33

Case 2.

Evan invests

P = $10,000

r = 7% = 0.07

n = 7 years

A=10000(1+0.07)^{7} = 16057.81

Hence the interest earned

= A - P = 16057.81 - 10000 = 6057.81

Difference in the interest = 6878.33 - 6057.81 = $820.52

Rounded to the nearest dollar difference in interest = $821

Inga [223]3 years ago
6 0
Can you give us the answers for the question 

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Answer:

Approximately 50 pounds less carbon (in CO₂) will be produced by the second auto on this trip.

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We have been given that the combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles.

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\text{Fuel used by 1st auto}=\frac{\text{ 600 miles}}{\frac{\text{ 20 miles}}{\text{gallon}}}

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Since 2nd auto used 10 gallons less than 1st auto, therefore, 2nd auto will produce 50 pounds less carbon than 1st auto.

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Jed's has $45 for the amusement park. He spent $17 for admission into the park.
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If you take the original amount 45 and subtract the admission fee 17 you get what is left over which would be  28 dollars. Good Luck and I hope that this helps!!
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