apply minus - plus rules :
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Please help me with this! Worth 10 pts
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The two investments are $7000 and $8000 during one year.
The amount $15,000 invested at % and 5% simple interest.
During one year, the two accounts earned $715.
<h3>What is simple interest?</h3>Simple interest is a method for calculating the amount of interest charged on a sum over a fixed period of time at a given rate.
Let amount x be invested at %. Then, amount 15,000-x is invested at 5%.
Now, ×x+5×15000-x=715
⇒0.045x+0.05(15000-x)=715
⇒0.045x+750-0.05x=715
⇒750-0.005x=715
⇒0.005x=35
⇒x=$7000
Thus, x=$7000 and 15000-x=$8000
Hence, the two investments are $7000 and $8000.
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The inverse proportional relationship that models this variation is given as follows:
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
An inverse proportional relationship is given as follows:
In this problem, we have an inverse relation in which y(2) = 5000, hence the constant k is found as follows:
k = 10,000
Hence the relation is:
As stated in the problem, when x = 5, y = 2,000, which we can verify replacing in the relation.
More can be learned about proportional relationships at brainly.com/question/10424180
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