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kitt90335
22.04.2020 •
Mathematics
Look at the number line below. The letters f, g, h, and i all represent integers. Write two inequalities to compare f and g.
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Ответ:
Ответ:
Step-by-step explanation:
Let x represent the amount invested in the account paying 14% interest.
Let y represent the amount invested in the account paying 5% interest.
He invests three times as much in an account paying 14% as he does in an account paying 5%. This means that
x = 3y
The formula for simple interest is expressed as
I = (PRT)/100
Considering the account earning 14% interest,
I = (x × 14 × 1)/100 = 0.14x
Considering the account earning 5% interest,
I = (y × 5 × 1)/100 = 0.05y
If he earns $152.75 in interest in one year from both accounts combined, it means that
0.14x + 0.05y = 152.75 - - - - - - - - - -1
Substituting x = 3y into equation 1, it becomes
0.14(3y) + 0.05y = 152.75
0.42y + 0.05y = 152.75
0.47y = 152.75
y = 152.75!0.47
y = 325
x = 3y = 3 × 325
x = $975
Total amount of money invested is
975 + 325 = $1300