kel3194
31.12.2019 •
Mathematics
Aperson plans to invest four times as much in an account at 5.5% interest as in an account at 14% annual interest. how much should the person invest in each account to earn a total of $550 in one year?
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Ответ:
x = amount invested at 14%
4x = amount invested at 5.5%, 4 times as "x".
Ответ:
Account A earns at a 5.5% interest rate
Account B earns at a 14% interest rate
We want to invest 4 times as much in account A compared to account B
Let x be the amount invested in account B. So the amount invested in account A is 4x.
Use the simple interest formula, i = P*r*t, to find that
interest earned with account A = 4x*0.055*1 = 0.22x
interest earned with account B = x*0.14*1 = 0.14x
Add these up and set this equal to 550. Solve for x. Then compute 4x.
0.22x+0.14x = 550
0.36x = 550
x = 550/0.36
x = 1527.77777777778
x = 1527.78 round to the nearest penny
4x = 4*1527.78
4x = 6111.12
Answers:6111.12 dollars needs to be invested at 5.5%
1527.78 dollars needs to be invested at 14%
Ответ:
area=1/2(AB+0A)Ac=4cm