a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
b. He will have $4507 after 36 months
Step-by-step explanation:
The form of the slope-intercept equation is y = m x + b, where
- m is the slope (constant rate)
- b is the intercept (initial amount value y at x = 0)
∵ The man decides to take out $100 per month from his
savings account
- That means the constant rate is 100 dollars per month, that money
will detected from his initial money every month
∴ m = 100
∴ The form of the equation is y = b - 100 x, where
- x represents the number of the months
- y represents the amount of money in his saving account in x months
To find the value of b substitute x and y by the given information
∵ He has $3507 in his account after 46 months
∴ x = 46 and y = 3507
∵ 3507 = b - 100(46)
∴ 3507 = b - 4600
- Add 4600 to both sides
∴ 8107 = b
∴ y = 8107 - 100 x
a. The equation that models the amount in the savings account in terms of the number of months is y = 8107 - 100 x
∵ y = 8107 - 100 x
∵ x = 36
∴ y = 8107 - 100(36)
∴ y = 8107 - 3600
∴ y = 4507
b. He will have $4507 after 36 months
Learn more:
You can learn more about the linear equations in brainly.com/question/9801816
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Answer:
C. Uniform distribution
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that X is between values c and d, in which d is greather than y is given by:
In this problem, we have that:
Suppose the probability of a car accident taking place anywhere on a 20-mile stretch of highway is the same, which means that
Somewhere between the 5-mile and 15-mile posts of the highway:
So the correct answer is:
C. Uniform distribution
If the dealership advertises a 10% discount and a factory rebate of $1500. Then the function S for the cost of the new car will be given below.
S = 0.90p - 15000
<h3>What is the percentage?</h3>
The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The suggested retail price for a new car is in p dollars.
The dealership advertises a 10% discount and a factory rebate of $1500.
Write a function S in terms of p, representing the cost of the car after receiving the dealership discount will be
The amount of a car after discount will be
A = 0.90 p
And the factory gives a rebate of $ 1,500. Then the function S will be given as
S = 0.90 p - 1500
More about the percentage link is given below.
brainly.com/question/8011401
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