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Monica [59]
4 years ago
15

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $27 monthly fee

and charges an additional $0.12 for each minute of calls. The second plan has no monthly fee but charges $0.16 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Mathematics
1 answer:
NikAS [45]3 years ago
4 0
The first plan : y = 27 + 0.12x
Second plan : y = 0.16x

27 + 0.12x= 0.16x
27 = 0.04x

x = 67.5 minutes
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Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

I= A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

A=10000(1+0.04)^{10}

   =$14802.44

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Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

A=10000(1+0.07)^{5}

   =$14025.51

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From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

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Answer:

y = - \frac{1}{2} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

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m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

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