Answer:
the second car is 75 miles longer than the first car for 5 hours
Step-by-step explanation:
First we need to know the distance each one traveled in 5 hours
the first one travels 40 miles in one hour
1 h = 40 mi
1h * 5 = 40mi * 5
5h = 200 mi
the second one travels 55 miles in one hour
1 h = 55 mi
1h * 5 = 55mi * 5
5h = 275 mi
so the first one traveled 200 miles and the second 275 miles
if 275 we have 200 left, we will get how many more miles the second car made in 5 hours
275mi - 200mi = 75mi
<span>In the equation of a straight line (when the equation is written as y = mx + b), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept. </span>
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
Yes, it is also a square number
Answer:
5,040.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 8000(1 + (0.07 × 9)) = 13040
A = $13,040.00
The total amount accrued, principal plus interest, from simple interest on a principal of $8,000.00 at a rate of 7% per year for 9 years is $13,040.00.
