Answer:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
x = 11 hours
Step-by-step explanation:
Let
Number of hours = x
Total cost = y
Total cost = fixed cost + variable cost
The equations are:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
solve the equation to find for how many hours the total cost of the services is equal.
Equate total cost of both services
20 + 4x = 9 + 5x
Collect like terms
20 - 9 = 5x - 4x
11 = x
x = 11 hours
Check:
Happy paws
y = 20 + 4x
= 20 + 4(11)
= 20 + 44
= 64
Woof watchers
y = 9 + 5x
= 9 + 5(11)
= 9 + 55
= 64
Answer:
The value of (x + y)³ is 1728.
Step-by-step explanation:
First, you have to find the value of x + y :
x² + 2xy + y² = 144
x² + xy + xy + y² = 144
x(x + y) + y(x + y) = 144
(x + y)(x + y) = 144
(x + y)² = 144
x + y = √144
x + y = 12
Next, the value of (x + y)³ :
(x + y) = 12³ = 1728
Look at the vertical line on the graph and find five
Place a dot there
Look at the horizontal line and look to the left to find -7
Place a dot there
Now, just get a ruler and draw a line connecting the two dots
Answer:
$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.
Step-by-step explanation:
Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:
3000 x 0.04 + 3200 x 0.09 = 408
2500 x 0.04 + 3700 x 0.09 = 433
2600 x 0.04 + 3600 x 0.09 = 428
Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.
Your answer would 699.3 that is it
