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2 years ago

What percent of 645 is 187.05?

Mathematics

1 answer:

snow_tiger [21]2 years ago

8 0

Percent means per one hundred...

645(p/100)=187.05

645p/100=187.05

645p=18705

p=18705/645

p=29%

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2 years ago

Read 2 more answers

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate

andriy [413]

Answer:

The average rate of change

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

at t=3

Step-by-step explanation:

Step(I):-

The given function h(t) = 3+70t - 16t²

$\frac{dh}{d t} = 70 (1) - 16(2t)$

The $\frac{dh}{d t} = 70 (1) - 16(2t) =0$

70 - 32 t = 0

⇒ 70 = 32 t

⇒ $t = \frac{70}{32} = \frac{35}{16}$

Step(ii):-

The average rate of change in h(t) between t = 1 second and t = 3 second

$\frac{dh}{d t} = 70 (1) - 16(2t)$

At t = 1

$\frac{dh}{d t} = 70 (1) - 16(2t) = 38$

At t = 3

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2 years ago

How much money should be invested at 5% interest, compounded quarterly, so that 7 years later the investment will be worth $5000

vampirchik [111]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$5000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four times}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
5000=P\left(1+\frac{0.05}{4}\right)^{4\cdot 7}\implies 5000=P(1.0125)^{28}\\\\\\ \cfrac{5000}{(1.0125)^{28}}=P$

8 0

2 years ago