Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also
1 answer:
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Answer:
time is 6.76 years
Step-by-step explanation:
given data
amount = $150
payment = $100
rate r = 6% = 0.06
to find out
time period t
solution
we know it is compounding continuous
so we will apply here formula that is
amount = payment × ..........1
put here all value we get
amount = payment ×
150 = 100 ×
take ln both side
ln 1.5 =
0.40546 = 0.06t
t = 0.40546 / 0.06
t = 6.76
so time is 6.76 years
You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.
The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept
1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line
2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = (
)
Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.
By this, we would have our equation in the form of:
y = mx + c
Hope this helps :)
The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept
1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line
2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = (
Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.
By this, we would have our equation in the form of:
y = mx + c
Hope this helps :)