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Last year, Eric had $30,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that

paid 9% simple interest per year. After one year, he received a total of $2710 in interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.
Х
5
?
First account: si
Second account: $0

User Mitchus
by
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1 Answer

3 votes

Answer:

here you go!

Explanation:

Since time is one year in I = prt then the options below can be used

If you've had Algebra you can use Systems of Equations to solve this problem

x + y = 30,000 for the parts of the Principal

.09x + .08y = 2420 For the rates and total Earnings

Or you can use a substitution knowing your Principal, Rates and Total Earnings

Remember to write the rates as decimals.

First you can put everything in terms of x as follows

x + y = 30,000

y = 30,000 - x

y can be rewritten as 30,000 - x

Using the rates to total earnings we have

.09x + .08(30,000 - x) = 2420

Then just solve for x.

User Mark Bessey
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