$3000 invested at an APR of 5% for 7 years. If interest is compounded annually , what is the amount of money after 7 years?

Answers

Answer 1
Answer: With annual compounding, the value of the investment after 7 years is

Value = $3,000 [ 1 + 0.05 ] to the 7th power .

Value = $3,000 [ 1.4071 ] = $4,221.30
Answer 2
Answer: Sum=\$3000\cdot(1+5\%)^7=\$3000\cdot (1.05)^7\approx \$4221.30

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A physics lab group was conducting an experiment to determine the length of a spring when different objects of varying weight were hung from it. After testing ten different objects, the group calculated the following linear regression where x is the weight of the object in ounces and h(x) is the length of the spring in centimeters: h(x)= 2.3x+15.5. What does y-intercept of this equation indicate about the relationship between object weight and the length of the spring?1) When there is no object on the spring, its length is 2.3 cm
2) When there is no object on the spring, its length 15.5 cm
3) For every ounce of weight, the spring length increases by 2.3 cm
4) For every ounce of weight, the spring length increases by 1535 cm

Answers

2). The length of the spring is 15.5 cm, and that's how it hangs
when there's no weight on it.

In the equation, 'x' is the weight of the object. If there's no object, then
x = 0 and h(x) = 15.5 .
15.5 is the answer
man...that was pretty hard

Derive the equation, in the
form y = mx + b, for the line. (Look at the photo.)

Answers

Answer:

y=2x+1

Step-by-step explanation:

y=mx+c

y-intercept is 1

y=mx+1

gradient= rise/run= 2/1= 2

y=2x+1

Greg drew a pair of parallel lines and a line segment next to each other on a chalkboard.Which of these statements best compares the pair of parallel lines and the line segment?
A.Parallel lines and the line segment have no dimensions of measurement.
B.The parallel lines and the line segment always meet at a common endpoint which is called the vertex.
C.Parallel lines and a line segment cannot lie on the same plane at the same time because they do not overlap.
D.The parallel lines extend infinitely in both directions, and the line segment has two endpoints.

Answers

Greg drew a pair of parallel lines and a line segment next to each other on a chalkboard. The statement that best compares the pair of parallel lines and the line segment is D. The parallel lines extend infinitely in both directions, and the line segment has two endpoints.

Solve.
3/4x=18 please show work ...?

Answers

18 = 3/4x
3 = 18 x 4x
4x = 3/18
4x = 1/6
x = 1/24
4/3 times 3/4 to cancel out

18 times 4/3
this will be 72/3

72 divided by 3 is 24

X = 24

Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

Answers

Well first you would break the equation down so the equation comes to 2x^2(6x-1)+3(6x-1) and then you Factor out  common terms  in the first two terms and then in the last two terms. Factor out the common term 6x-1 and you get your answer (6x-1)(2x^2+3).

How old would you be if you were born 10 years ago

Answers

I would be five years old if I was born 10 years ago