* Danny wants to earn $500,000 by the time he retires. He puts a huge bonus of $20,000 in an
account. He does not plan on putting any more money in the account. If the account has an
annual interest rate of 11.5%, how long until Danny can retire with $500,000?”

See Below

Step-by-step explanation:

The question is asking:

After how many years, 20,000 will become 500,000 at an annual interest of 11.5%?

So, we need compound growth formula shown below to solve this:

F is future value

P is present amount

r is rate of interest

t is the time of year

Given,

F = 500,000

P = 20,000

r = 11.5% = 11.5/100 = 0.115

t is what we want to find

Now, we take natural log of both sides and solve for t:

Its is going to take about 29.57 years, rounding, 30 years

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

one set of data has more variation than the other. hope this !