Distance = Speed × Time
Distance = (4.5 mi)/(0.75 h) × (3.5 h) = 21 mi
The walker will cover 21 miles in 3.5 hours at that pace.
50 is a rational number because it can be expressed in two integers; 50 ÷ 1
Answer:
- The amount invested at 5%=$77,000
- The amount invested at 9%=$349,000
Step-by-step explanation:
- Let the amount invested at 5% simple interest =$x
He invested $41,000 more than 4 times the amount at 9%.
- This amount is: $(4x+41000)
Total Annual Interest Earned = $35,260
Therefore, Time=1 year
Simple Interest
Therefore, his total interest
=Interest from Investment 1 + Interest from Investment 2
Therefore:
The amount invested at 5%=$77,000
The amount invested at 9%=$(4*77,000+41000)=$349,000
Simplified expression for total amount spent is 10(2.05 + m)
Step-by-step explanation:
- Step 1: Write expression for expense on joining cooking club for m months.
Expense = 8.50 + 6.25 × m
- Step 2: Write expression for expense on joining movie club for m months.
Expense = 12 + 3.75 × m
- Step 3: Calculate the total amount spent on both clubs
Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)
Answer:
D. F(x) = 1/(x +5)²
Step-by-step explanation:
The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...
F(x) = 1/(x +5)²
_____
<em>Additional comment</em>
The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.