Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re
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Consider the given parallelogram KLMN.
Prove:
Statement Reason
1. Definition of parallelogram
2. Same Side interior angle theorem
3. Substitution property
4. Subtraction property of equality
Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5. Angle Congruence Postulate
When two angles are equal, then they are said to be congruent by Angle congruence postulate.
To find the mid-way number we do this:
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
= 7,684
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000
Answer:
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.
Step-by-step explanation:
Use the formula for continuous compounding
where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.
(this formula can be beautifully derived from just basic considerations, btw)
We are given t=5, and percent increase on the initial P, so we can solve for r
It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.