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Hellokittyjam35
30.06.2019 •
Mathematics
Aperson invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. the total annual income from these investments was $716. the amount of money invest at 12% was $300 more than the amount at 8% and 10% combined. find the amount invested at each rate.
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Ответ:
The amount invested at 8% rate is $1,200
The amount invested at 10% rate is $2,000
The amount invested at 12% rate is $3,500
Step-by-step explanation:
step 1
Let
x-----> the amount invested at 8% rate
y-----> the amount invested at 10% rate
z-----> the amount invested at 12% rate
substitute equation A in equation B
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
substitute equation A
step 2
Solve the system of equations
x+y=3,200 -----> equation C
Solve the system by graphing
The solution is the point (1,200,2,000)
see the attached figure
Find the value of z
therefore
The amount invested at 8% rate is $1,200
The amount invested at 10% rate is $2,000
The amount invested at 12% rate is $3,500
Ответ:
2 and 2 ÷3
Step-by-step explanation:
The computation is shown below;
=![\frac{2}{3} \times \frac{4}{1} = \frac{8}{3}](/tpl/images/1093/1446/6a462.png)
Now if we divide 3 in the 9 so it would be provide 2 times having 2 places remaining
So,
Or 2 and 2 ÷3