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dgayles8761
03.09.2020 •
Mathematics
Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?
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Ответ:
Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=51000 (1)
0.04x+0.07y=2370 (2), where
x is the portion earning a simple interest rate of 4 percent per year
y is the portion earning a simple interest rate of 7 percent per year
First, you can isolate x in (1):
x=51000-y (3)
Now, you can replace (3) in (2) and solve for y:
0.04(51000-y)+0.07y=2370
2040-0.04y+0.07y=2370
0.03y=330
y=330/0.03
y=11000
Then, you can replace the value of y in (3) to find the value of x:
x=51000-11000
x=40000
According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Ответ:
HJ
Step-by-step explanation:
it is what it is