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3 years ago

$1400 from fund-raisers in a 18-month CD paying 3.7%

Mathematics

1 answer:

saw5 [17]3 years ago

8 0

Answer:

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

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Step-by-step explanation:

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You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.

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Second question:

You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.

$\dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

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$C = \sin^{-1} \dfrac{8.9\sin 63^\circ}{10}$

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Now we look at the supplement of angle C.

m<C = 52.5°

supplement of angle C: m<C' = 180° - 52.5° = 127.5°

We add the measures of angles B and the supplement of angle C:

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$1400 from​ fund-raisers in a 18​-month CD paying 3.7​%

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