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babymother
1 month ago
14

If Julie invests $9,250 at a rate of 7%, compounded weekly, find the value of the investment after 5 years.

Mathematics
1 answer:
lawyer [12.5K]1 month ago
5 0

Answer:

The correct choice is D.

Detailed explanation

Principal = $9250

interest rate = 7% or 0.07

duration = 5 years or 260 weeks

[ As there are 52 weeks in a year, for 5 years it calculates to 5x52=260 weeks]

Utilizing the formula

Total amount after t years = P(1+\frac{r}{n} )^{nt}

where P = principal

r = decimal form of the rate %

n= frequency per year

t = duration (in years)

substituting the values into the formula

Total amount = 9250(1+\frac{0.07}{52} )^{(52X(5)}

= 9250(1+0.001346 )^{(260)}

= 9250(1.001346 )^{(260)}

= 9250(1.418733588)

=$13123.29

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AnnZ [12381]

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

Excluding Davide, the average age of the other three is 18. Therefore:

18 = \frac{x + y + z}{3}

x + y + z = 54

Substituting into the original equation:

x + y + z + w = 64

54 + w = 64

w = 10

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

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2 months ago
ΔMNO was dilated, then _____________, to create ΔYHQ.
babunello [11817]
The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.
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2 months ago
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Annual income of A is 10% more than of B whereas income of B is 20% more than that of C. If monthly income of C is $ 2000 then w
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Answer:

7040

Step-by-step explanation:

C= 2000

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The manufacturer of a certain type of new cell phone battery claims that the average life span of the batteries is 500 charges;
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a. 0

b. Yes

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d. 0.3446

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Step-by-step explanation:

Please see attachment

8 0
2 months ago
The savings account offering which of these APRs and compounding periods offers the best APY?
zzz [12365]
\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~\textit{4.0784\% compounded monthly}\\\\
~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.0784\%\to \frac{4.0784}{100}\to &0.040784\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12
\end{cases}
\\\\\\
\left(1+\frac{0.040784}{12}\right)^{12}-1\\\\
-------------------------------\\\\
~~~~~~~~~~~~\textit{4.0798\% compounded semiannually}\\\\


\bf ~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.0798\%\to \frac{4.0798}{100}\to &0.040798\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2
\end{cases}
\\\\\\
\left(1+\frac{0.040798}{2}\right)^{2}-1\\\\
-------------------------------\\\\


\bf ~~~~~~~~~~~~\textit{4.0730\% compounded daily}\\\\
~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.0730\%\to \frac{4.0730}{100}\to &0.040730\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, thus 365}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.040730}{365}\right)^{365}-1
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