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3 years ago

B is inversely proportional to a When a = 4 , b = 6 Determine the value of b when a = 8

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Answer:

Step-by-step explanation:

b is inversely proportional to a, that means when ne increases the other decreases. 4 times 6 is 24

so when is 8, b is 24/8 which is 3

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Calculate the area of the shaded sector in the circle

scZoUnD [109]

Answer:

area ≈ 6.3 units²

Step-by-step explanation:

Calculate the area (A ) of the sector as

A = area of circle × fraction of circle

= πr² × $\frac{45}{360}$

= π × 4² × $\frac{1}{8}$

= 16π × $\frac{1}{8}$ ← cancel 8 and 16 by 8, leaving

A = 2π ≈ 6.3 units² ( to 1 dec. place )

5 0

3 years ago

Suppose that you have $6000 to invest. Which investment yields the greater return over four years: 8.25% compounded quarterly or

WARRIOR [948]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.25\%\to \frac{8.25}{100}\to &0.0825\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.0825}{4}\right)^{4\cdot 4}\implies A=6000(1.020625)^{16}\\\\
-------------------------------\\\\$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$6000\\
r=rate\to 8.3\%\to \frac{8.3}{100}\to &0.083\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus two}
\end{array}\to &2\\
t=years\to &4
\end{cases}
\\\\\\
A=6000\left(1+\frac{0.083}{2}\right)^{2\cdot 4}\implies A=6000(1.0415)^8$

compare them away.

4 0

3 years ago

What’s the derivative of sin^2(cos(x^2))

Varvara68 [4.7K]

Answer: f'(x) = - cos^2(sin(x^2))

Step-by-step explanation:

Derivative of:

f(x) = Sin^2(cos(x^2))

f'(x) = cos^2(-sin(x^2)

f'(x) = - cos^2(sin(x^2))

7 0

3 years ago

Suppose your on a game show and there were three doors. You pick a door then the host opens another door with a goat inside. He

Katena32 [7]

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nika2105 [10]

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2 years ago