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grandymaker [24]
3 years ago
15

For questions 7 – 8, use the following functions: f(x) = 4x + 3x g(x) = 2x – 5 7. Find (f + g)(x). 8. Find (f – g)(x).

Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

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

8) (f-g) (x) = 4^x + x - 5

Step-by-step explanation:

7)  Find (f +g)(x)

(4^x + 3x + 2x - 5)

(4^x + 5x -5)

(f+g) (x) = 4^x + 5x -5

8) Find (f-g)(x)

(4^x + 3x - 2x - 5)

(4^x + x - 5)

(f-g) (x) = 4^x + x - 5

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A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

3 0
2 years ago
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Answer:

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Step-by-step explanation:

let the number be a

30-3a= -6

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30+6=3a

3a=36

a=12

The number is 12

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steposvetlana [31]
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oee [108]

Answer:

C. x < 5

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12x < 60

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