Answer:
49°
Step-by-step explanation:
arccos x = 15/23
Answer:
The Slope(Slope = 7) represents the amount by which her savings increases per week.
The Y-intercept(Y intercept = 20) represents her initial savings before starting this process of saving 7$ per week.
Step-by-step explanation:
Given,
Initial Savings = 20$,
Additional savings per week = 7$,
Assuming 'x' no. of weeks passed by, her savings would be,
Total savings(y) = Initial Savings + Added Savings
y = 20$ + 7
y = (7x + 20)$
This is an equation of a straight line.
We know that,
For a line in the Slope Intercept form(y = mx + c)
The slope is m and the y-Intercept is c.
Therefore here,for the y = 7x +20 equation,
Slope = 7 = Change in Added Savings per week.
Y-Intercept = 20 = Initial Savings.
Answer:
The polygons are similar
Explanation:
They both have the same proportions, just the one on the left is scaled down a bit.
Answer:
that can’t be simplified
Step-by-step explanation:
Answer:
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
b.)
Revenue = bx = (157)(31.4) = $ 4929.8
Step-by-step explanation:
Let number of bushes = b
The price of the bushes = x
The time to harvest = t
The revenue = y
Now given,
Price = x = 37 - (0.8)t
and
Number of bushes = b = 129 + 4t
Also,
The revenue = (Number of bushes)(Price of the bushes)
= bx
= (129 + 4t)[37 - (0.8)t]
= 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²
= 4773 - 103.2t + 148t - 3.2t²
= 4773 + 44.8t - 3.2t²
⇒ y = 4773 + 44.8t - 3.2t²
Now,
= 0 + 44.8 - 6.4t
Now,
= 0
⇒ 44.8 - 6.4t = 0
⇒ - 6.4t = -44.8
⇒ 6.4t = 44.8
⇒t =
Now,
= -6.4
As < 0 ,
It means at time t = 7 , the revenue is maximum
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4
b.)
Revenue = bx = (157)(31.4) = 4929.8