Answer:
<h3>A. 1 hour</h3>
Step-by-step explanation:
If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;
On equating:
75 + 50x, = 75x + 50
collect like terms'
50x-75x = 50-75
-25x = -25
divide both sides by -25
-25x/-25 = -25/-25
x = 1
hence the number of hours each company will have to clean to cost the same amount is 1 hour
-86 = -6(-3p - 3) - 5p
Distribute the -6 into the parentheses:
-86 = (-6 * -3p) + (-6 * -3) - 5p
-86 = 18p + 18 - 5p
Simplify:
-86 = 13p + 18
Subtract both sides by 18:
-86 - 18 = 13p + 18 - 18
-104 = 13p
Divide both sides by 13:
= 
= 
<u>p = -8</u>
<u></u>
Good luck! If you have any questions, don't be afraid to ask :))
-T.B.
The amount she should invest today in the annuity is $455,450.40.
<h3>How much should be invested today?</h3>
The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 3.6/12 = 0.3%
- n = number of periods : 15 x 12 = 180
Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
To learn more about annuities, please check: brainly.com/question/24108530
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