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taurus [48]
3 years ago
6

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

We are given

The student council earned $1.25 for every cup of hot chocolate it sold

and $0.75 for every cup of apple cider it sold

total number of cup is 375

We can see that first term is 1.25x

and we have

The student council earned $1.25 for every cup of hot chocolate

so, to find total cost of hot chocolate , we multiplied 1.25 with x

that's why

x must be the number of cups of hot chocolate sold

So the answer must be C

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3 years ago
Which rational number equals 0.333...? 1 over 5, 1 over 3, 3 over 10, 3 over 5
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Answer:

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Step-by-step explanation:

let x=0.333...

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3 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
Which situation is represented by this equation?
navik [9.2K]
No less than or greater than signs are used, so C and D are out

In this case the equation starts as .45M + 3.50

The only matching statement is A
5 0
3 years ago
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viva [34]
I hope that helps. :)
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2 years ago
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