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Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647
Answer: The required fraction = 
Step-by-step explanation:
Let the required fraction = 
Given: Initial height = 192 inches
Height of ball after second bounce = 
Height of ball after third bounce = 
After the third bounce it is 3 inches off the ground.
So,

Hence, The required fraction = 
For a cube,

The volume is the cube of the side length.


To raise a product to an exponent, raise each factor to the exponent.

To raise a power to a power, multiply powers.