Step-by-step explanation:
Let the height above which the ball is released be H
This problem can be tackled using geometric progression.
The nth term of a Geometric progression is given by the above, where n is the term index, a is the first term and the sum for such a progression up to the Nth term is
To find the total distance travel one has to sum over up to n=3. But there is little subtle point here. For the first bounce ( n=1 ), the ball has only travel H and not 2H. For subsequent bounces ( n=2,3,4,5...... ), the distance travel is 2×(3/4)n×H
a=2H..........r=3/4
However we have to subtract H because up to the first bounce, the ball only travel H instead of 2H
Therefore the total distance travel up to the Nth bounce is
For N=3 one obtains
D=3.625H
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Given:
- The principal amount that Amy opened her savings account with is $1750.
- The rate of simple interest compounded annually is 4.3%.
- The time period for which we calculate the new balance is 6 months.
To Find:
The balance after 6 months.
Answer:
The balance after 6 months will be $1787.625
Step-by-step explanation:
The principal amount that Amy opened her savings account with is $1750. We can denote this by P.
The rate of simple interest compounded annually is 4.3% which we may denote by R.
The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).
The amount of money accrued from the interest can be calculated by the formula
Putting in the values given in the question, we have
The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.
Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.