Alfred is saving up money for a down payment on a townhouse. He currently has $5016$ 5016, but knows he can get a loan at a lower interest rate if he can put down $5994$ 5994. If he invests the $5016$ 5016 in an account that earns 4.4%4.4% annually, compounded monthly, how long will it take Alfred to accumulate the $5994$ 5994? Round your answer to two decimal places, if necessary.

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nicof2010 nicof2010 · Answer 1 · 2020-06-23T03:26:57+02:00

Answer:

It will take Alfred to accumulate the $5994 annually 4.1367 and monthly 4.0557

Explanation:

In order to calculate how long will it take Alfred to accumulate the $5994 we would have to use the following formula:

A=P(1+r/n)∧n*t

P=$5,016

A=$5994

r=4.4%

n=1 annually

n=12 monthly

Therefore, t annually would be as follows:

5,994=$5,016(1+(4.4%/100)/1)∧1*t

t=4.1367

Therefore, t monthly would be as follows:

5,994=$5,016(1+(4.4%/100)/12)∧12*t

t=4.0557

It will take Alfred to accumulate the $5994 annually 4.1367 and monthly 4.0557