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Alisiya [41]
2 years ago
8

Madden and Jenn both worked at the coffee shop today. Madden's total cups of coffee made is represented by f(x); and Jenn's tota

l cups of coffee made is represented by g(x). Use the functions below to write a function that represents the total cups of coffee they made today.
f(x) = 7x − 4
g(x) = 5x + 1
A. 9x + 5
B.9x − 3
C.12x + 5
D.12x − 3
Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

Answer:

Option D. (12x - 3)

Step-by-step explanation:

Madden's total cups of coffee made is represented by the function f(x).

f(x) = 7x - 4

Jenn's total cups of coffee made is represented by the function g(x).

g(x) = 5x + 1

Now we have to write a function that represents the total cup of coffee that represents they made.

That will be represented by f(x) + g(x) = (7x - 4) + (5x + 1)

f(x) + g(x) = 12x - 3

Therefore, option D. will be the answer.

AnnZ [28]2 years ago
5 0

Answer:

The answer is D. 12x - 3.

Step-by-step explanation:

To add these functions, we just add the terms.

f(x) + g(x) = (7x - 4) + (5x + 1)

7x - 4 + 5x + 1 | Simplify

7x + 5x - 3

12x - 3.

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Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte
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We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

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A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

5\%=\frac{5}{100}=0.05  

When compounded annually, n=1:

A=4500(1+\frac{0.05}{1})^{1\cdot 10}

A=4500(1.05)^{10}

A=4500(1.6288946267774414)

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When compounded quarterly, n=4:

A=4500(1+\frac{0.05}{4})^{4\cdot 10}

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When compounded monthly, n=12:

A=4500(1+\frac{0.05}{12})^{12\cdot 10}

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A=4500(1.64700949769)

A=7411.542739605\approx 7411.54

When compounded daily, n=365:

A=4500(1+\frac{0.05}{365})^{365\cdot 10}

A=4500(1.0001369863013699)^{3650}

A=4500(1.6486648137656943695)

A=7418.9916619456\approx 7419.00

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

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