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stepladder [879]
3 years ago
7

Brianna is considering taking out a loan. She estimates that she can afford monthly payments of $195 for 10 years in order to su

pport her loan. She finds that, with an APR of 7.5% compounded monthly, she can take a loan of $16,427.72.Assuming that Brianna's monthly payment and the length of the loan remain fixed, which of these statements is true about the size of the loan Brianna could take if she received a different APR?
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0
If the interest rate were 8.4%, the amount of the loan that brianna is considering taking out would be less than $16,427.72
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Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted
ella [17]

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error =  Standard deviation / root of n

= 0.01387/\sqrt{80}\\ = 0.0016

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

8 0
3 years ago
9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare
prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

\frac{74}{9 - v} - \frac{74}{9 + v} = 5

⇒ \frac{2v}{81 - v^{2} } = \frac{5}{74}

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) }  }{2(5)} (Neglecting the negative root)

⇒ v = \frac{- 148 + 173.2166}{10} = 2.5 mph (Rounded to the nearest 10th) (Answer)

7 0
3 years ago
Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is twelve. Two times the first num
adoni [48]

The solution to the system of equations is x = 8, y = 4.

<h3>How to write the system of equations?</h3>

First, let's define our variables as x and y.

"the sum of two numbers is twelve" is written as:

x + y = 12

"two times the first number minus three times the second number is four" is written as:

2x - 3y = 4

Then the system of equations is:

x + y  = 12

2x - 3y = 4

<h3>How to solve it?</h3>

First, we isolate one of the variables in one equation, I will isolate x on the first one to get:

x = 12 - y

Now we replace this on the other equation, so we get:

2*(12 - y) - 3y = 4

Now we can solve this for y.

24 - 2y - 3y = 4

24 - 5y = 4

24 - 4 = 5y

20/5 = y = 4

Now we know the value of y, and:

x = 12 - y = 12 - 4 = 8

Then the solution of the system is:

x = 8, y = 4.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

7 0
2 years ago
To get a free meal at his favorite restaurant, Tom needs to spend $50 or more at the restaurant. He has already spent $30.25. Ho
MrRissso [65]

Answer:

50-30.25=19.75

Step-by-step explanation:

5 0
3 years ago
An art student wants to make a model of an ancient building. The length of the building is 3.2 times its width. The length of th
ivanzaharov [21]

Answer:

b. 22.2

Step-by-step explanation:

I put it as an equation.

3.2w=72

Then solved for w

3.2w/3.2=72/3.2

Simplify

22.5

8 0
3 years ago
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