Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Your interest formula is given to you.
<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>
<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>
<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>
<span>Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 </span>
<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
<span>Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power. </span>
Answer:
A.
Step-by-step explanation:
85/100 = 85%
Answer:
y-intercept: (0,-3)
Step-by-step explanation:
- Y-intercepts mean that the x-value has to be equal to 0. When plugging in 0 for the x-value, we receive:
- Therefore, the point is (0,-3).
