points charged at closing will be $80,000 × 0.02 (2 points equal 2%) = $1,600.
Points, also called discount points, lower interest rates in exchange for prepayment. Lenders lower your closing costs in exchange for accepting higher interest rates. These terms may be used to mean something else. "Point" is a term that mortgage lenders have used for many years.
Mortgage points (sometimes called discount points) are fees paid to lower interest rates on home purchases or refinancing. Discount points cost 1% of your mortgage amount. For example, if you take a $ 100,000 mortgage, one point costs $ 1,000.
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Jeremy may want to sit down with his marketing team or hirer a team devoted to promotions and advertisement. You can only be successful if people know you exist and when they don't, making sales is almost obsolete. To keep your business running, making sure the marketing team is doing their job to keep consumers coming back and your product/service relevant is a must.
Answer:
a) The instantaneous rate of change of the amount in the account after 3 years = dA/dt = 802.114
b) The instantaneous rate of change of the amount in the account when the amount is equal to $25,000 = dA/dt = 900
Explanation:
The detailed step by step and appropriate derivation is as shown in the attachment
Answer:
Balance after 30 years = $151,018.50
Explanation:
In order to calculate this, we will calculate the future value on an amount invested, gaining interest over the years of investment, and this is given by:

where:
FV = future value
PV = present value
r = interest rate
t = time in years.
Hence the future value is calculated as follows:
1. For the first 10 years at 7% interest:
7% interest = 7/100 = 0.07


2. For the last 20 years at 9.5%(0.095) interest:
Note that for the remaining 20 years, the present value (PV) used = 24,589.392, as ending balance after the first 10 years


Total Future value earned = $151,018.50
Answer: 9.20
Explanation:
In finance there is a rule for calculating this called 'The Rule of 70'.
With The Rule of 70, you are able to calculate the amount of time it will take an investment to double if you divide 70 by the growth rate of the investment.
In this scenario, the investment is your salary and the growth rate is 7.61% pee year.
The amount of time it will take to double is therefore,
= 70 / 7.61
= 9.19842312746
= 9.20 years.
It will take 9.20 years to double.