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strojnjashka [21]
3 years ago
7

Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a

fter using the coupon shown is $4.12, write an equation that can be used to find the value of c.
Mathematics
1 answer:
nordsb [41]3 years ago
5 0

Answer:

4.12=2.45c+1.65c

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is 2.45c dollars and the cost of 1.65 pounds of pear is 1.65c dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. 4.12=2.45c+1.65c

i.e. 4.12=4.1c

i.e. c=\frac{4.12}{4.1}

i.e. c = 1 dollar

Hence, the required equation to find c is 4.12=2.45c+1.65c.

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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.

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3 years ago
If it costs $100,000 to put on an event for four weeks (28 consecutive nights), how much revenue per night is needed to
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