Homework Help Please!! My friend and I both got different answers for our team

[gabbyizzo]

Hi everyone. My friend and I are on a team for our calculus class and the both of us have gotten different answers every time for 3 problems we are trying to do. We are posting them on here so you guys could post your answers and we could compare ours to see if either of us our right or if we are both wrong, try to figure out how you arrived at the answer. Your help is so appreciated.

1. A real estate investment, originally worth $7000, grows continuously at the rate of 600e^0.04t
dollars per year, where t is the number of years since the investment was made.(a) Find a formula for the value of the investment after t years.
V(t) =



(b) Use your formula to find the value of the investment after 10 years. (Round your answer to the nearest dollar.)
$

2. A factory installs new equipment that is expected to generate savings at the rate of 900e^−0.2t
dollars per year, where t is the number of years that the equipment has been in operation.(a) Find a formula for the total savings that the equipment will generate during its first t years.
S(t) =




(b) If the equipment originally cost $2000, when will it "pay for itself"? (Round your answer to one decimal place.)
t = yr


3.The cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1800e^0.4x
(dollars per year) when the home is x years old.(a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at x = 0.)

M(x) =



(b) Use your answer to part (a) to find the total maintenance cost during the first 5 years. (Round your answer to the nearest dollar.)
$

 

[Deleted member 4993]

Hi everyone. My friend and I are on a team for our calculus class and the both of us have gotten different answers every time for 3 problems we are trying to do. We are posting them on here so you guys could post your answers and we could compare ours to see if either of us our right or if we are both wrong, try to figure out how you arrived at the answer. Your help is so appreciated.

1. A real estate investment, originally worth $7000, grows continuously at the rate of 600e^0.04t
dollars per year, where t is the number of years since the investment was made.(a) Find a formula for the value of the investment after t years.
V(t) =



(b) Use your formula to find the value of the investment after 10 years. (Round your answer to the nearest dollar.)
$

2. A factory installs new equipment that is expected to generate savings at the rate of 900e^−0.2t
dollars per year, where t is the number of years that the equipment has been in operation.(a) Find a formula for the total savings that the equipment will generate during its first t years.
S(t) =




(b) If the equipment originally cost $2000, when will it "pay for itself"? (Round your answer to one decimal place.)
t = yr


3.The cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1800e^0.4x
(dollars per year) when the home is x years old.(a) Find a formula for the total maintenance cost during the first x years. (Total maintenance should be zero at x = 0.)

M(x) =



(b) Use your answer to part (a) to find the total maintenance cost during the first 5 years. (Round your answer to the nearest dollar.)
$

Better yet - you post your work and we can tell whether you went wrong or not. And if you did go wrong we can show you ways to fix it!!

 

[stapel]

Hi everyone. My friend and I are on a team for our calculus class and the both of us have gotten different answers every time for 3 problems we are trying to do. We are posting them on here so you guys could post your answers and we could compare ours to see if either of us our right or if we are both wrong, try to figure out how you arrived at the answer.

Sorry, but that's not how this works. You show your work, and then the volunteers check that. For further information, kindly please re-read the "Read Before Posting" announcement.

1. A real estate investment, originally worth $7000, grows continuously at the rate of 600e^0.04t
dollars per year, where t is the number of years since the investment was made.
(a) Find a formula for the value V (t) of the investment after t years.

What is the standard relationship between the rate of change in a value, and the value itself? (Hint: Derivatives and anti-derivatives.)

2. A factory installs new equipment that is expected to generate savings at the rate of 900e^−0.2t
dollars per year, where t is the number of years that the equipment has been in operation.
(a) Find a formula for the total savings S (t) that the equipment will generate during its first t years.

3.The cost of maintaining a home generally increases as the home becomes older. Suppose that the maintenance costs increase at a rate of 1800e^0.4x (dollars per year) when the home is x years old.
(a) Find a formula for the total maintenance cost M (x) during the first x years. (Total maintenance should be zero at x = 0.)

These work just like the first one. So please reply showing all of your thoughts and efforts for exercise (1), so we can see what's going on. Thank you!