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
Answer: $0.51
Step-by-step explanation:
12/100 of $4.25 = $0.51
Amount payable plus sales tax for a 6- pack of soda will now be $4.25 + $0.51 = $4.76
Answer:
The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B
Step-by-step explanation:
Given as :
The distance drove by Jack Duffy = d = 12,568 miles
The fixed costs totaled = $1,485.00
The variable cost totaled = $2,015.75
Let The cost per mile that Jack Duffy charge = $x cost per miles
Now, According to question
The totaled cost = The fixed costs + The variable cost
Or, The totaled cost = $1,485.00 + $2,015.75
I.e The totaled cost = $3500.75
Now,
The cost per mile that Jack Duffy charge = 
I.e x = 
∴ x = $0.278 per miles
So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .
Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B Answer
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So
has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
