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3 years ago

10

Abigail is 5 years older than Brenda.

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:i i think Brenda 10

Step-by-step explanation:

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If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

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4 years ago

Solve for -5v4(-31)

Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u> $\mu$ <u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

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3 years ago

Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?

Rashid [163]

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

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3 years ago

Help meee!!!!!!!! I need this to graduate!!!!!!!

Pie

Answer:

• Slope is the derivative of the function:

${ \rm{f(x) = {x}^{3} + 3 {x}^{2} + 3x + 1 }} \\ \\ { \tt{ \frac{dy}{dx} = 3 {x}^{2} + 6x + 3 + 0 }}$

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${ \tt{ \frac{dy}{dx} = 3 {(0)}^{2} + 6(0) + 3}} \\ \\ { \boxed{ \tt{slope = 3}}}$

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3 years ago

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