Natalie charges $1490 per month to rent each of her three rental houses. Natalie must pay $5850 in maintenance cots per house per year. If all three houses are occupied, how much money will Natalie earn over seven years?

Answers

Answer 1

Answer: 3(1490) = 4470 per month for rent she collects...4470(12) = 53640 per yr
3(5850) = 17550 per year she pays in maintenance cost

over 7 yrs...
53640(7) - 17550(7) = 375480 - 122850 = 252630 <== what she earned

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A comic-strip writer churns out a different number of comic strips each day. For 16 days, the writer logged the number of comic strips written each day (sorted low to high): {1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7}. If the writer writes for one more day and comes up with 8 new comic strips, how will the skew be affected?A) The distribution will be skewed to the negative side.

B) The distribution will be skewed to the positive side.

C) The distribution will have the same mean and median.

D) The distribution will have a mean lower than the median.

Answers

The distribution will be skewed to the positive side, the correct option is B.

What is mean?

Mean is the average of the data set obtained by summing all the values of the data set and then dividing it by the number of data in the set.

The data of the comic strips written is

{1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7}

Mean = 54/16

Mean = 3.375

Median = 3

When 8 is added to the data

Mean = 3.64

Median = 3

The Mean > Median, so the distribution will be skewed to the positive side.

To know more about Mean

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The distribution will be skewed to the positive side because the mean is greater than the median.
Mean: 3.7
Median: 3

Answer: B

If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

Answers

g(x) = 6x

g(f(x))
= 6((x^2) - 5)
= (6x^2) - 30

so its equal to
(6x^2) - 30

Plug f(x) as x in g(x) and you get 6(x^2-5), which is g(f(x)) = 6x^2-30.

Solve :

5x - 7y = 12

5y - 2x = - 7

Answers

there is one solution:

use elimination method

5x - 7y = 12
5y - 2x = -7 ---> change equation around

5x - 7y = 12
-2x + 5y = -7

2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)

this give you
10x - 14y =24
-10x+25y = -35 add down
-----------------------------
11y = - 11 x is eliminated to find y value

y = -1 input to one of the original equations

5(-1) - 2x = -7

-5 - 2x = -7
+5 +5 add 5 to both sides
----------------------------
-2x = -2
x = 1

your coordinates for when they intersect is at (1, -1)
one solution

5x - 7y = 12
5y - 2x = -7
5x - 7y = 12
-2x + 5y = -7
3x + 2y = 5
3(2) + 2(-1) = 5
6 + (-1) = 5
6 - 1 = 5
5 = 5

What does best approximates of 35,000,000 x 9 mean?