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Scrat [10]
3 years ago
15

Brody deposited 8,001 in a savings account with simple interest. Four months later the account held 8,267.70. What is the intere

st rate?
Mathematics
1 answer:
Travka [436]3 years ago
8 0

Answer:

R = 0.8333%/month

(R = 9.9996%/year)

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving your equation:

r = (1/4)((8267.7/8001) - 1) = 0.00833333

r = 0.00833333

Converting r decimal to R a percentage

R = 0.00833333 * 100 = 0.8333%/month

Calculating the annual rate

0.8333%/month × 12 months/year = 9.9996%/year.

The interest rate required to get a total amount, principal plus interest, of $8,267.70 from simple interest on a principal of $8,001.00 over 0.333333 years (4 months) is 0.8333% per month.

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Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}

Rewriting it in terms of x° as follows,

\sin x=\dfrac{opposite\:side}{hypotenuse\:side}

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

\sin x=\dfrac{FE}{FG}

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

\sin x=\dfrac{12}{18.6}

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