Answer:
a) About 12%
Step-by-step explanation:
We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:
Where:
PV= Present Value
i= interest rate
FV= Future Value
n= number of periods
replacing the data provided:
solving for i:
first, divide both sides by 50.000 to simplify the equation:
Take roots of both sides:
±
solve for i:
±
We get two answers, but we look for a coherent value. So we take the positive one:
≈12
Answer:
0.07%
Step-by-step explanation:
This equation is solving for what percentage of 100 kg is 0.07 kg.
1. Set up the equation
=
0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.
2. Solve by cross multiplying
100x = 7
3. Solve for x by dividing both sides by 100
x = 0.07
The answer is 0.07%
Given:
The system of inequalities is
To find:
The values of a for which the system has no solution.
Solution:
We have,
...(1)
It means the value of x is less than or equal to 5.
...(2)
It means the value of x is greater than or equal to a
Using (1) and (2), we get
But if a is great than 5, then there is no value of which satisfies this inequality.
Therefore, the system has no solution for a>5.