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o-na [289]
3 years ago
8

Evaluate f(x)=x+6 when x=−2,0, and 5.

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

1. 4

2. 6

3. 11

Step-by-step explanation:

Plug each number into the equation (in place of x) to get the answer.

1. f(-2) = -2+6 = 4

2. f(0) = 0+6 = 6

3. f(5) = 5+6 = 11

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Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much
lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}

(1.0275)^{16}P = 15000

P = \frac{15000}{(1.0275)^{16}}

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

In which:

  • P is the payment.
  • n is the number of payments.
  • r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]

V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0
1 year ago
an adult blinks about 450 times in 30 minuets. a twelve year old blinks about 150 times in 15 minuets. how many more times does
Elena-2011 [213]

If an adult blinks 450 times in 30 minutes, then he will blink 900 times in 60 minutes.

A 12-year old blinks 150 times in 15 minutes, so he will blink (150 x 4) in 60 minutes, which comes out to: 600.

so 900-600

An adult blinks 300 times more in 60 minutes than a 12-year old.

8 0
2 years ago
Geometry Help needed 25 points
Arada [10]

W is in the lower left corner located at (-1,-2)

W' is in the upper left corner located at (-2,1)

Notice that the original Y value (-2) became the new X value (-2) and the original X value (-1) is the inverse of the new Y value (1).

If you look at the coordinates of the other two pints you would see it was the same transformation.

When the X and Y coordinates switch like this, it is a 90 degree clockwise rotation around the origin.

4 0
3 years ago
Write two equivalent expression with these numbers 14,16,11
eduard

Answer:

14+16+11=41

11+14+16=41

Step-by-step explanation:

3 0
2 years ago
Change the following Expression in to words 4 ( 2 + 7 )​
almond37 [142]

Answer:

4(2+7)

8+28=38

Step-by-step explanation:

four into bracket 2+7 close bracket

4 0
2 years ago
Read 2 more answers
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