$10,000 X 0.05 = $500/year
500 X 4 years = $2,000 after 4 years
First, plug in -3 for the y value.
-3=2x²-10x
Then, add 3 to both sides.
0=2x²-10x+3
Use the quadratic equation to solve
(-b+-√b²-4ac)/2a
You get 4.68 or 0.32
You still have to check your answer to see if there is an excluded value.
Both values check.
Answer:
Yes the integral can be evaluated by integration by parts as solved below.
Step-by-step explanation:

Taking algebraic function as first function and exponential function as second function we have

The first thing we must do for this case is to calculate the area of both yards.
We have then:
front yard:
A1 = (50) * (80)
A1 = 4000 feet ^ 2
Back yard:
A2 = (10) * (30)
A2 = 300 feet ^ 2
"Jayden wants to lay sod on his front yard and on half of his back yard"
Then, the total amount will be:
A = A1 + (1/2) A2
Substituting:
A = 4000 + (1/2) (300)
A = 4000 + 150
A = 4150 feet ^ 2
Answer:
jayden needs to purchase 4150 square feet of sodd