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Norma-Jean [14]
2 years ago
9

You want to save money for a trip to the cocoa beach pier. you deposit in an account that earns simple interest at an annual rat

e of %10. Travel and entertainment will cost $600, and lodging will cost $800.
a) how many years will take for you to save enough money for the trip? Explain.
b) Another bank advertises an annual interest rate of 15.7%. How much sooner can you go on the trip if you open an account at that bank instead? explain your reasoning
Mathematics
1 answer:
Strike441 [17]2 years ago
6 0

The number of years it will take you to save enough money for trip is 4 years.

IF the interest is 15.7%, you can go on the trip 2. 56 years sooner.

<h3>How long will it take to save enough money?</h3>

Simple interest is the amount that is earned when money is saved. When an account earns a simple interest, the amount increases linearly. The simple interest earned is a function of the amount deposited, time and the interest rate.

Interest = total amount deposited x time x interest rate

Time = simple interest / (amount deposited x interest rate)

Interest = amount needed for the trip - amount deposited

1400 - 1000 = 400

Time = 400 / (1000 x 0.1)

Time = 4 years

Time you can go on the trip if the interest is 15.7%: 400 / (1000 x 0.157) = 2.56 years

Difference = 4 years - 2.56 years = 1.44 years

To learn more about simple interest, please check: brainly.com/question/27328409

#SPJ1

Here is the complete question:

the cocoa beach pier. you deposit 1000 in an account that earns simple interest at an annual rate of %10. Travel and entertainment will cost $600, and lodging will cost $800.

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