9x - 24 + 4x = -24 + 14x - x
13x - 24 = 13x - 24
0 = 0
Answer is All real numbers
Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.
A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.
Then the area of the heptagon is given as
Area of heptagon = 7 x area of a triangle
Area of heptagon = 7 x 0.5 x 12.1 x 12.6
Area of heptagon = 533.61 square ft
If the costs $10 per square foot for the special wood the homeowner wants.
Then we have
Total cost = 10 x 533.61
Total cost = $ 5336.1
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ1
Answer:
Adult ticket = 80
Children ticket = 120
Step-by-step explanation:
Given that :
Cost of student ticket = $8
Cost of adult ticket = $10
Number of tickets sold = 200
Total amount collected = $1760
Let number of adult ticket sold = a ; children ticket = b
a + b = 200 _-_(1)
10a + 8b = 1760 ___(2)
a = 200 - b
10(200 - b) + 8b =. 1760
2000 - 10b + 8b = 1760
- 2b = 1760 - 2000
-2b = -240
b = 120
a = 200 - b
a = 200 - 120
a = 80