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zysi [14]
3 years ago
14

Now consider just the second sentence of the multistep word problem. Sentence 2: If four times the brother's age is subtracted f

rom three times the sister's age, the difference is 40. Give an equation that represents this statement using b as the age of the brother and s as the age of the sister. Express your answer in terms of s and b.
Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

4b - 3s = 40

4b = 40 + 3s

b = 40 - 3s/4

4b - 3s = 40

4b - 40 =3s

4b - 40 /3 = s

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25.13

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3 years ago
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number o
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Answer:

a) A\simeq17204.28

b) A\simeq29598.74

c)A\simeq50922.51

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

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P = $10000

r = 11\% = \frac{11\%}{100\%}=0.11

n = 4 (quarterly in a year)

a ) t = 5 years

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b) t = 10 years

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A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51

5 0
2 years ago
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