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quester [9]
3 years ago
7

A box of 80 coins, consisting of only nickels and dimes, is worth 7 dollars and 80 cents. Find the number of nickels.

Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0
4 nickles
Explanation:
80=N+D
7.80=0.05N + 0.1D

D=80-N

7.80=0.05N + 0.1(80-N)
7.80=0.05N + 8 - 0.1N
0.1N + 7.80 = 8 + 0.05N
0.05N = 8-7.80
0.05N = 0.2
N= 4
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4.4%

Step-by-step explanation:

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

A=P(1+  

n

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​  

)  

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Compound interest formula

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Plug in values

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6900(1+  

365

r

​  

)  

4380

 

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​  

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365

r

​  

)  

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​  

 

Divide by 6900

1.695652174=

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(1+  

365

r

​  

)  

4380

 

\left(1.695652174\right)^{1/4380}=

(1.695652174)  

1/4380

=

\,\,\left[\left(1+\frac{r}{365}\right)^{4380}\right]^{1/4380}

[(1+  

365

r

​  

)  

4380

]  

1/4380

 

Raise both sides to 1/4380 power

1.000120571=

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​  

 

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000120571=

0.000120571=

\,\,\frac{r}{365}

365

r

​  

 

365\left(0.0001206\right)=

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(  

365

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​  

)365

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