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Gnesinka [82]
1 year ago
14

So if 3 paper clips equal 9 cm how many paper clips equal 15cm?

Mathematics
1 answer:
Dmitry_Shevchenko [17]1 year ago
3 0

Given,

The number of paper clips used for 9 cm paper is 3.

Consider, the number of paper clips used for 15 cm paper,

By proportionality,

\begin{gathered} \frac{3}{9}=\frac{x}{15} \\ 3\times15=9\times x \\ \frac{45}{9}=x \\ x=5 \end{gathered}

Hence, the number of paper clips used for 15 cm of paper is equal to 5.

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You have $5600. The best interest rate you can find is 3%
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Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

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

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

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

Taking logs on both sides

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

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

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2 years ago
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Answer:

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3 years ago
Last year 80 students signed up for a summer trip to Washington, D.C. This summer 50 students have signed up to go. What is the
Fynjy0 [20]

Given:

Last year 80 students signed up for a summer trip to Washington, D.C.

This summer 50 students have signed up to go.

To find:

The percent decrease in the number of students.

Solution:

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Students in this year = 50

Now,

\text{Decrease}\%=\dfrac{\text{Students in last year - Students in this year }}{\text{Students in last year }}\times 100

\text{Decrease}\%=\dfrac{80-50}{80}\times 100

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\text{Decrease}\%=\dfrac{3}{8}\times 100

\text{Decrease}\%=37.5

Therefore, the correct option is B.

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6 0
3 years ago
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Solve for x. Enter your answer below as a fraction in lowest terms, using the
Eddi Din [679]

Answer:

x = \frac{9}{80}

Step-by-step explanation:

Given

x + \frac{9}{20} = \frac{9}{16}

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80x = 9 ( divide both sides by 80 )

x = \frac{9}{80}

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3 years ago
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