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bogdanovich [222]
3 years ago
12

Phyllis invested 47000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 6

percent per year. After one year the total interest earned on these investments was 2200 dollars. How much money did she invest at each rate?
Mathematics
1 answer:
Alexandra [31]3 years ago
5 0

Answer:

31000 dollars were invested at 4% interest rate.

16000 dollars were invested at 5% interest rate.

Step-by-step explanation:

Convert the interest rate into decimal and then write down two equations to solve for the unknowns.

\begin{bmatrix}0.04x+0.06y=2200\\ x+y=47000\end{bmatrix}

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\x=31000,\:y=16000

Best Regards!

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Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far is the bottom of th
krek1111 [17]

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3 \sqrt{11}

Step-by-step explanation:

Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.

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3 years ago
Sandy borrowed 6709 R.O from a bank to buy a piece of land. If the bank charges 12 1/3 % compounded each two months, what amount
enot [183]

Answer:

she is paying back 9112.5 R.O

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Step-by-step explanation:

To find the amount, we use the compound interest formula.

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A = I( 1 + r/n)^nt

where A is the amount we are trying to calculate

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n is the number of times interest is compounded. We have 15 2 months in 2 and a half years

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Plugging these values, we have;

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