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Scrat [10]
3 years ago
11

Emma puts $1000 in a savings account that pays 4% interest, compounded monthly. How much money will be in the account 3 years la

ter if she makes no more deposits?
a. $1,127.27
b. $1,124.86
c. $1,120.00
d. $1,010.03
Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0

Answer:

Option A. \$1,127.27  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ P=\$1,000\\ r=0.04\\n=12  

substitute in the formula above  

A=\$1,000(1+\frac{0.04}{12})^{12*3}=\$1,127.27  

vovikov84 [41]3 years ago
6 0

Answer:

a

Step-by-step explanation:

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Answer:

The hose pipe can fill the pond in 21.465 hours.

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Step-by-step explanation:

Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

The inlet pipe alone can fill the pond in one hour less time than the hose pipe can  fill the pond.

Let the hose pipe can complete the job in x hours.

Then the inlet pipe can fill the pond in (x-1) hours.

The rate of filling of hose pipe is =\frac{1}{x}

The rate of filling of inlet pipe is =\frac{1}{x-1}

The rate of filling of both pipes is = \frac 1{10}

According to the problem,

\frac{1}{x}+\frac{1}{x-1}=\frac{1}{10}

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\Rightarrow \frac{2x-1}{x^2-x}=\frac1{10}                            

\Rightarrow 10(2x-1)= x^2-x                [ Multiplying 10(x²-x) both sides]

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Answer:

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Step-by-step explanation:

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