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svetoff [14.1K]
3 years ago
10

2. On December 31, Juan Carlos made a $ 7,000 deposit in an account that pays 2.975% interest compounded semi-annually. How much

will be in that acqount at the end of two years.
Mathematics
1 answer:
inna [77]3 years ago
6 0

Answer:$ 7425.89

Step-by-step explanation:

Formula to find the compound amount ( compounded semiannually) :-

A=P(1+\dfrac{r}{2})^{2n} , where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.

Given : P= $7000

r=2.975%=0.02975

Time : n= 2

Then, The amount in account after 2 years:-

A=7000(1+\dfrac{0.02975}{2})^{2\times2}\\\\=7425.88565609\approx7425.89

Hence, Amount in account after 2 years = $ 7425.89

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The Jackson family went out to dinner
vovikov84 [41]

Answer:  Amount that the Smith family need to pay for the meal including tax and tip = 53.47.

Step-by-step explanation:

Since we have given that

Price of the meal = 43.45

Rate of sales tax = 7%

Amount becomes after the sales tax is given by

\frac{7}{100}\times 43.45\\\\\frac{304.15}{100}\\\\=3.0415\\\\\text{Amount}=43.45+3.0415=46.4915

Rate of tips over meal and sales = 15%

Amount of tips is given by

\frac{15}{100}\times 46.4915\\\\=0.15\times 46.4915\\\\=6.974

So, Amount becomes

46.4915+6.974\\\\=53.465\\\\=53.47

Hence, Amount that the Smith family need to pay for the meal including tax and tip = 53.47.


3 0
3 years ago
Jeffrey's recipe for oatmeal muffins calls for 2 1/4 cups of oatmeal and makes one dozen muffins. If he makes 1 1/2 dozen muffin
Olegator [25]
1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)
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Step-by-step explanation:

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Solve st + 3t = 6 for s
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st + 3t = 6 for s

Subtract 3t to both sides

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Divide both sides by t

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3 years ago
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valkas [14]
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