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ivolga24 [154]
3 years ago
8

In surveying families with pets, 5 out of 7 families owned a dog. If 35 families had dogs, how many families were surveyed?

Mathematics
1 answer:
Sliva [168]3 years ago
5 0
Hello There!

Follow these steps:
35/5 = 7
7 x 7 = 49
35 out of 49 families owned a dog.
49 families were surveyed.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

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Answer:

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Step-by-step explanation:

Use the compound rate interest formula:

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

where:

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  • r = interest rate (in decimal format)
  • n = number of times interest is compounded per unit t
  • t = time

Given:

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\implies 7850=5000(1+\frac{0.048}{12})^{12t}

\implies 7850=5000(1.004)^{12t}

\implies \dfrac{7850}{5000}=(1.004)^{12t}

\implies 1.57=(1.004)^{12t}

Take natural logs:

\implies \ln1.57=\ln(1.004)^{12t}

\implies \ln1.57=12t\ln(1.004)

\implies t=\dfrac{\ln 1.57}{12 \ln1.004}

\implies t=9.42\textsf{ years (nearest hundredth)}

\implies t=113 \textsf{ months}

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