Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Answer:
It is 0.30 or in words, 30 hundredth.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
even
4(-x^3) = 4x^3
-4x^3 = 4x^3 (false)
odd
-4x^3 = 4(-x^3)
-4x^3 = -4x^3
Answer:
Area = 245m^2
Step-by-step explanation:
We can split this figure into 2 parts, a rectangle and a trapezoid.
Rectangle Sides = 10m and 20m
Area = 10m x 20m = 200m
Trapezoid formula = a+b/2(h)
a and b are the 2 bases and h is the height
Using a little deductive reasoning we get the following, 5+10/2(6)
This simplifies to 15/2(6) -->
7.5(6) = 45
Thus, our area is 200 + 45, or 245m^2
15% each yer
represented by
f(x)=60(1.15^x)
xintercept is when the function equals zero
since it increases only, it cannot equal zero and does not have an x intercept
after 4 years the investment value is 104
after 6 yaers value is 138.7
after 7.86 years the value is179.98 which is roughly 3 times of 60
8 years later183.54 close enough
answers
f(x)=60*1.15^x
after 7.86 years value is 3 times initioal value
after 8 years value is 184
