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- Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
- A bus
A bus is scheduled to travel a distance 121 km in 2 3/4 hours. What average rate of speed must be maintained to arrive on schedule?
- Line segment
Line segment AB is 8 cm long. Divide it in a ratio of 2: 3.
- Present value
A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years?
- The temperature 10
The temperature in a freezer is -15°C and it increases by 3°C.
Suppose on your 21st birthday you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments untill your 51st birthday (30 years), How much money will be in your account? How much of it is interest?
- Future value
Suppose you invested $1000 per quarter over a 15 years period. If money earns an anual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earn?
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