alex7881
22.10.2019 •
Mathematics
111. dani has $1,000 in an investment account that earns 3% per year, compounded monthly.
c. write an explicit formula for the amount of money in her account after t years.
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Ответ:
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money in the account after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the number of years the money is invested or borrowed for.
For this problem, we have that:
The investment is compounded monthly. There are 12 months in a year. So
The interest rate is 3%. So .
So
The amount of money in her account after t years is:
Ответ:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7