Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.
2 answers:
Answer:
Miguel's account will grow fast.
Step-by-step explanation:
It is given that:
- Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.
Let g(t) represents the function that represent the amount of money in Anita's account in 't' months.
Hence, the function g(t) is given by:
- Miguel had $25 in his savings account. His parents will double the amount in his account each month.
Let f(t) represents the function that represent the amount of money in Anita's account in 't' months.
Hence, the function g(t) is given by:
Clearly we could observe that the amount of money in Anita's account have a linear growth and the amount of money in Miguel's account has a exponential growth and we know that exponential function has a more increase i.e. it increases faster than the linear function.
Hence,
Miguel's account will grow fast.
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Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
