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3 years ago

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You purchased a stock for $150 per share. The value of the stock has increased by 25% per year. Which function represents the va

lue of one stock t years after is was purchased?

1 answer:

meriva3 years ago

6 0

Answer:

$S(t) = 150(1.25)^{t}$

Step-by-step explanation:

I purchased a stock for $150 per share. The value of the stock has increased by 25% per year.

Therefore, the value of the stock is compounded each year at a rate of 25%.

Now, using the formula of compound interest, after t years the value of the stock will be given by

$S(t) = 150(1 + \frac{25}{100})^{t} = 150(1.25)^{t}$ (Answer)

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Plz help I need this for my grade report cards are coming out

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Answer:1.5

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Step-by-step explanation:

First I got the 4th box. I found out 3.5x2=7, and 7x2=14. So I know the pattern is multiply by 2.

Then I got the 3rd box. I used a proportion. (14x6)/28= 3

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3 years ago

A group of students were surveyed to find out their favorite subject in school. 1/6 chose history and 2/5 chose music. Of the st

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<h3>Answer:</h3>

Number of students who chose history as favorite subject = 25

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<h3>Step-by-step explanation:</h3>

Let the total number of students be 's'.

Number of students who chose history as favorite subject = $\frac{1}{6}$ of (Total number of students) = $\frac{1}{6}\times \textrm{s}$ = $\frac{1}{6}\textrm{s}$

Number of students who chose history as favorite subject = $\mathbf{\frac{1}{6}s}$

Number of students who chose music as favorite subjects = $\frac{2}{5}$ of (Total number of students) = $\frac{2}{5}\times \textrm{s}$ = $\frac{2}{5}\textrm{s}$

Number of students who chose music as favorite subjects = $\mathbf{\frac{2}{5}s}$

Number of students who chose neither history nor music as favorite subject = 65

Total number of students = (Number of students who chose history as favorite subject) + (Number of students who chose music as favorite subject) + (Number of students who chose neither history nor music as favorite subject)

$\mathrm{s=\frac{1}{6}s+\frac{2}{5}s+65}$

$\mathrm{s=(\frac{1}{6}+\frac{2}{5})s+65}$

$\mathrm{s=(\frac{1\times5+2\times6}{30})s+65}$

$\mathrm{s=(\frac{17}{30})s+65}$

$\mathrm{s-\frac{17}{30}s=65}$

$\mathrm{(1-\frac{17}{30})s=65}$

$\mathrm{(\frac{1\times30-17}{30})s=65}$

$\mathrm{\frac{13}{30}s=65}$

$\mathrm{s=65\times\frac{30}{13}}$

$\mathrm{s=\frac{1950}{13}}$

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Number of students who chose history as favorite subject = $\frac{1}{6}\textrm{s}=\frac{1}{6}\times150=25$

Number of students who chose history as favorite subject = 25

Number of students who chose music as favorite subject = $\frac{2}{5}\textrm{s}=\frac{2}{5}\times150=60$

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Question:
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