Huh english is this spanish !
If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:
xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)
Where v is Lina's speed we have to find.
Plugging them all together gives:
300*10 = 10v - 1000
Which can be solved:
3000 + 1000 = 10v
4000 = 10v
v=400
Lina should skate at 400 feet per minute!
Answer: at 50 mph, she drove for 4 hours.
at 45 mph, she drove for 2 hours.
Step-by-step explanation:
Let t represent the time that she spent driving at 50 miles per hour.
Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.
Distance = speed × time
Distance covered while driving 50 miles per hour is
50t
Distance covered while driving 45 miles per hour is
45(6 - t)
Since the total distance that she drove is 290 miles, it means that
50t + 45(6 - t) = 290
50t + 270 - 45t = 290
50t - 45t = 290 - 270
5t = 20
t = 20/5 = 4
At 45 miles per hour, she drove at
6 - 4 = 2 hours
$251,618
Step-by-step explanation:
Amount = $ 150,000
APR = 3.8 % = 3.8 / 100 = 0.0038
Rate per month = 0.003166
Monthly payment = 30 years = 360 months
Interest = P* r/n (1 + r/n) ∧ nt ÷ (1 + r/n) ∧ nt - 1
The total amount Ms Moore will pay back to the bank =
= $251,618
So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.
Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.
