The Johnson family wants to start a college fund for their daughter Gabriella. They put $63, 000 into an account that grows at a rate of 2.55% per year, compounded quarterly. Given the function G(t)= 63,000(1+ .0255/4)^ 4t, where G(t) represents the amount of money in the account t years after the account is opened, given that no more money is deposited into or withdrawn from the account. Calculate the number of years it will take for the account to reach approximately $150,000, to the nearest hundredth of a year.

It will take approximately 34.13 years

Step-by-step explanation:

The function G(t) below represents the amount of money in some account t years after the account is opened for The Johnson's daughter Gabriella:

It's required to find the number of years (t) it will take for the account to reach G(t)=150,000. We need to solve the equation:

Dividing by 63,000 and simplifying:

Taking logarithms:

Applying logarithms property:

Solving for t:

Calculating:

It will take approximately 34.13 years

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

stop cheating

step-by-step explanation: