1/3 divided by 3 1/2

Mathematics

1 answer:

fomenos2 years ago

8 0

Answer:

2/21

Step-by-step explanation:

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You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

bezimeni [28]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

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3 years ago

What is the slope of this skateboard ramp if it rises 1.2 meters above the ground and runs 4 meters horizontally at the base?

Nesterboy [21]

By definition, the slope is the inclination of a line in relation to the horizontal. It can be expressed in degrees, ratios and even in percent. Therefore, you can calculate it by applying the following formula:

P%=(H/L)x100

P% is the slope expressed in percent.
H is the height (H=1.2 meters).
L is the length (L=4 meters).

When you substitute these values into the formula P%=(H/L)x100, you obtain the slope of the skateboard ramp:

P%=(H/L)x100
P%=(1.2 meter/4 meters)x100
P%=0.30x100
P%=30%

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DerKrebs [107]

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Step-by-step explanation:

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gulaghasi [49]

Answer:

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