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poizon [28]
3 years ago
10

Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan

off in 5 years. What will her monthly payment be?
Mathematics
1 answer:
iragen [17]3 years ago
7 0

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

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joja [24]

Answer:

(a) y = -4x + 4   (b) y = 2x + 3

<u>solving steps:</u>

note: m refers to slope and y₁ to y point and x₁ to x point

a)

coordinates: (2,-4)

slope: -4

equation:

  • y - y₁ = m(x - x₁)
  • y - -4 = -4(x-2)
  • y = -4x + 8 - 4
  • y = - 4x + 4

b)

coordinates: (1,5), (-1,1)

slope:  \sf \dfrac{y-y_1}{x-x_1}  

  • \sf \dfrac{1-5}{-1-1}  
  • 2

equation:

  • y - y₁ = m(x - x₁)
  • y - 5 = 2(x - 1)
  • y - 5 = 2x - 2
  • y = 2x - 2 + 5
  • y = 2x + 3
5 0
2 years ago
Read 2 more answers
Please help with this! Show how you got it!!! Will mark brainliest!!
Ghella [55]

Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

        = 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

8 0
3 years ago
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On the blueprint of a house, 36 millimeters represents 8 meters. The actual length of the living room is 6 meters. What is its l
Xelga [282]

36/8=4.5 which is how many millimeters there are in a meter. So 6 meters *4.5 would be 27 millimeters. The length of the blue print is 27 millimeters

5 0
3 years ago
PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined ab
Shalnov [3]

Answer:

△PQR and △RST are not similar.

Step-by-step explanation:

In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

180-34-80=66

In triangle △RST, two known interior angles are 24° and 90°.

180-24-90=66

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.

Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.

8 0
2 years ago
want to study procrastination and social anxiety levels in undergraduate students at your university.You send a group email to a
True [87]

Answer:

Yes.  There is a bias in the selected sample.

Step-by-step explanation:

Population of interest = undergraduate students at the university

Respondents to email requests = 2,000 students

Sample size = 100 students

Sample is based on the 2,000 respondents.

Therefore, sample is biased.

b) A sampling method is said to be biased if it systematically favors a group.  By making some members of the student population systematically more likely to be selected in a sample than others, there is an occurrence of sampling bias.  Usually, findings from biased samples can only be generalized to populations that share characteristics with the sample and to the entire population of interest.

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