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Lisa [10]
2 years ago
15

Which Line is Perpendicular to y= -1/4x - 8?

Mathematics
2 answers:
Zolol [24]2 years ago
7 0

Answer:

D

Step-by-step explanation:

  • For two lines to be perpendicular, their gradients must have a product of -1
  • The only one that fits this is D
aleksklad [387]2 years ago
7 0

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

4 * \dfrac{-1}{4}=-1

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Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest
Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

A=P\frac{(1+r)^{n}-1}{r}

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be 1800*160=\$288000.

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = 1179415.39-288000=\$891415.39

7 0
4 years ago
Read 2 more answers
A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?
klemol [59]

Answer:

How much is 44 out of 100 written as a percentage? Convert fraction (ratio) 44 / 100 Answer: 44%

Step-by-step explanation:


5 0
3 years ago
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Solve for X and Y please
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See attached picture
5 0
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April took out a $600 loan from the
VARVARA [1.3K]

Answer:

2%

Step-by-step explanation:

4 0
3 years ago
For each part below, give an example of a linear system of
N76 [4]

Answer:

a)g: 3x + 4y = 10   b) a:x+y = 5           c) c: 3x + 4y = 10

h: 6x + 8y = 5         b:2x + 3y = 8         d: 6x + 8y = 5

Step-by-step explanation:

a) Has no solution

g: 3x + 4y = 10

h: 6x + 8y = 5

Above Equations  gives  you  parallel lines refer attachment

b) has exactly one solution

a:x+y = 5

b:2x + 3y = 8

Above Equations  gives  you  intersecting lines refer attachment

c) has infinitely many solutions

c: 3x + 4y = 10

d: 6x + 8y = 5

Above Equations  gives  you  collinear lines refer attachment

i) if we add   x + 2y = 1 to equation x + y = 5 to make an inconsistent system.

ii) if we add   x + 2y = 3 to equation x + y = 5 to create infinitely system.

iii) if we add  x + 4y = 1 to equation x + y = 5 to create infinitely system.

iv) if we add to x + y =5 equation x + y = 5  to change the unique solution you had  to a different unique solution

7 0
3 years ago
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