Answer:
20 months approx
Step-by-step explanation:
Given data
Price=$2,350
Monthly savings= $115 per month
Hence the duration of time to save up $2,350 is given as
=2,350/115
=20.434
Hence the time is 20 months approx
<h3>Answer: Choice D</h3>
4x - 3y = 15
====================================================
Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
-------------
Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer:
Step-by-step explanation:
The given equation is
We take logarithm of both sides to base 10.
We expand the brackets to get;
Group similar terms;
To the nearest hundredth.
Answer:
Step-by-step explanation:
P(x) = R(x) - C(x)
Where,
P(x) = Total profit
R(x) = Total revenue
C(x) = Total cost
R(x)equals150.97 x minus 0.3 x squared
R(x) = 150.97x - 0.3x^2
Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
C(x) = 4529.10 + 0.5x^2
P(x) = R(x) - C(x)
= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)
= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2
= 150.97x - 0.8x^2 - 4529.10
P(x) = -0.8x^2 + 150.97x - 4529.10
Answer:
x equals 2
Step-by-step explanation:
.3-.2+.3 is .4
.4 divided by .2 is 2
then you are left with 2 = x