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djyliett [7]
3 years ago
13

Problem page a garden table and a bench cost $990 combined. the garden table costs $90 more than the bench. what is the cost of

the bench?
Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
$900, but not too sure if this is a question to trick you.
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Answer: $40

Step-by-step explanation:

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Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate:  r=I/pt. We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: r=\frac{24}{300*1}=0.08

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of I=prt

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