Answer:
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing
99.7% encompasses about 3 standard deviations either side of the mean.
82 ±3*2 = (76, 88)
About 99.7% of the values lie between 76 and 88.
you didn't give the options but constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
the constant of proportionality is k, so k=2
y= kx becomes y=2x
so y = 2x should be the answer
Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.
Hi there! I can help you! Okay. So to find the amount of interest, we have to do the formula prt. That means multiply the principal, which is the initial amount of money, the rate, which is the interest rate, and the amount of time, which is usually in years. With that being said, here is how the answers turn out.
$252, 8% for 2 years: $40.32
$400, 2% for 6 months: $4
$5,000, 3.5% for 1 year: $175
$6,240, 10% for 9 months: $468
For the months, we just convert those numbers into decimal. 6 months is 1/2 a year, so it would be 0.5 and 9 months is 3/4 of a year, so that decimal would be 0.75. All you have to do is multiply the amount of money by percentage (you can do it by decimal form) by amount of time, and you’ll be good.
