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2 years ago

Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has

Mathematics

1 answer:

34kurt2 years ago

5 0

Using simple interest, and considering a loan of $5,000, it is found that:

a) Her monthly payment is of $74.17.

b) She will pay back $8,900.

c) The total interest amount is of $3,900.

The amount of money after t years in simple interest is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem:

The loan is of $5,000, hence $A(0) = 5000$ .

The APR is of 7.8%, hence $r = 0.078$

10 years, hence $n = 10$

Item b:

$A(10) = 5000[1 + 0.078(10)] = 8900$

She will pay back $8,900.

Item a:

$8,900 will be paid in 10 x 12 = 120 months, hence:

$M = \frac{8900}{120} = 74.17$

Her monthly payment is of $74.17.

Item c:

Loan of $5,000, pays back $8,900, hence:

8900 - 5000 = 3,900

The total interest amount is of $3,900.

A similar problem is given at brainly.com/question/13176347

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HELP!!! 10 points and marked brainliest

ExtremeBDS [4]

Answer:

m=2

Step-by-step explanation:

RS=2m+2

ST=3m+3

RT=15

m=2

RS=2(2)+2

RS=4+2

RS=6

ST=3(2)+3

ST=6+3

ST=9

Because S is in the middle of RT, if you add RS and ST together, you will get the length of RT.

6+9=15

4 0

3 years ago

8 7/3 divided 7 1/2 6 1/2 divided 34/4 23/3 divided 6 2/5 Pls help ASAP

AlladinOne [14]

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2) 13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

8 0

3 years ago

You rent an apartment that costs $1200 per month during the first year, but the rent

dimaraw [331]

Answer:

So first we have to figure out what $1200 per month for 12 months is since it was a year. 1200x12=14,400 a year which is outrageous for an apartment just saying.

Then we find out what 12% of the 1200 is and then add it to 1200.

To find the percentage of that we need to know how many times 12 fits into 100% 12 fits into 100 a total of 8.33333333333 times.

So now we divide 1200 by 8.33333333333 to see what 12% of it is.

1200 divided by 8.33333333333 is 144. So 1200+144=1344.

Now since one of the nine years has passed already we only have 8 remaining.

Now we see what 1344 a month for 12 months is 16,128 a year.

Now we multiply 16,128 by 8 to get the outcome of 8 more years. So 16,128x8=129,024

Thats it pls mark brainliest

Step-by-step explanation:

7 0

3 years ago

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data

puteri [66]

Answer:

a) σ_95% = [ ± 0.09934 ]

b) Increase the number of samples taken from each clinic and find their average over course of months for the entire year.

Step-by-step explanation:

Solution:-

- The data from the health provider for the number of CAT scans performed in a month in its clinics.

- The reported variable "X" : number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan.

- The statistical results were obtained as follows:

2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97,2.02

- We see that a samples were taken from n = 12 clinics were taken. The sample mean ( x_bar ) can be calculated from the following descriptive stats formula:

$x_b_a_r = \frac{Sum ( x_i )}{n}\\\\x_b_a_r=\frac{2.31+2.09+2.36+1.95+1.98+2.25+2.16+2.07+1.88+1.94+1.97+2.02}{12}\\\\x_b_a_r=\frac{24.98}{12}\\\\x_b_a_r=2.0817\\$

- Similarly, we will compute the sample standard deviation ( s ) ( Normally distributed population ) for unknown population standard deviation ( σ ), the following formula is used:

$s = \sqrt{\frac{Sum (x_i - x_b_a_r)^2}{n-1} } \\\\Sum (x_i - x_b_a_r)^2 = (2.31 - 2.0817)^2 + (2.09 - 2.0817)^2 + (2.36 - 2.0817)^2 + (1.95 -\\\\2.0817)^2 + (1.98 - 2.0817)^2+ (2.25 - 2.0817)^2+ (2.16 - 2.0817)^2 + (2.07 - 2.0817)^2\\\\(1.88 - 2.0817)^2 + (1.94 - 2.0817)^2 + (1.97 - 2.0817)^2 + (2.02 - 2.0817)^2\\\\= 0.26896668\\\\\\s = \sqrt{\frac{0.26896668}{12-1} } = 0.15636$

- We have two parameters ( x_bar and s ) for the approximated normal distribution of random variable X with unknown population:

x_bar = 2.0817

s = 0.15636

- The sample size n = 12 ≤ 30 and unknown population standard deviation standard normal distribution is not applicable. In such case we use t-distributions for test statistics and rejection criteria.

degree of freedom = n - 1 = 12 - 1 = 11

CI (two sided ) = 95%

Significance Level (α) = 1 - CI = 1-0.95 = 0.05

- To determine the t-critical value defined by the significance level of two sided test we have:

t-critical = t_α/2 = t _ 0.025

t-critical = t _ 0.025 = ±2.201

- We will now construct a 95% confidence interval for the population standard deviation ( σ ).

σ_95% = [ -t-critical * ( s / √n ) , t-critical * ( s / √n ) ]

σ_95% = [ -2.201 * ( 0.15636 / √12 ) , 2.201 * ( 0.15636 / √12 ) ]

σ_95% = [ ± 0.09934 ]

- To address any reservation to the standard error in standard deviation can be curtailed by increasing the sample size ( n ) at-least enough for the distribution "X" to assume standard normality. n ≥ 30

4 0

3 years ago

2 1⁄4 × 1 1⁄2 × 5⁄3 =

omeli [17]

Answer:

45/8 = 5,625

Step-by-step explanation:

$2\frac{1}{4}$ × $1\frac{1}{2}$ × $\frac{5}{3}$ = 9/4 × 3/2 × 5/3 = 9/4 × 1/2 × 5 = 45/8 = 5,625

8 0

3 years ago