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inysia [295]
2 years ago
7

Cory owes $1,000 to his bank. During the time of his loan, he is charged a rate of 12% simple annual interest. If he does not ma

ke any payments on his loan, which table shows the relationship between the amount he owes and the number of months?
A.
Balance Due Number of Months
$1,036 3
$1,084 7
$1,120 10
B.
Balance Due Number of Months
$1,020 2
$1,050 5
$1,090 9
C.
Balance Due Number of Months
$1,004.80 4
$1,009.60 8
$1,013.20 11
D.
Balance Due Number of Months
$1,005 5
$1,007 7
$1,012 12
Mathematics
1 answer:
stiv31 [10]2 years ago
4 0

Answer:

The answer is B

Step-by-step explanation:

Given: Cory owes $1,000 to his bank. During the time of his loan, he is charged a real of 12% simple annual interest

To find: If he does not make any payments on his loan,  draw table showing the relationship between the amount he owes and the number of months

Solution:

Loan amount P = $ 1000

Rate of interest R  = 12 % per annum

SI = P * R * T /100

one month  T = (1/12) Years

Interest per month =  1000 * 12 * (1/12) /100  =  $ 10

Hence interest chaarges $ 10 per month

Cory owes to bank the loan amount and interest

Cory owes = 1000 +  10 n

where n is the number of months

Month                 Amount

  0                         1000

  1                           1010

  2                         1020

  3                          1030

   4                          1040

   5                           1050

   6                            1060

    7                            1070

     8                            1080

      9                            1090

and so on

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6(15) + 10b > = 200
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10b > = 200 - 90
10b > = 110
b > = 110/10
b > = 11

so she can do 15 days of running plus 11 days of biking....which totals 26 days

8 0
2 years ago
A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as
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I hope this helps you

6 0
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Carbon-141414 is an element that loses about 10\%10%10, percent of its mass every millennium (i.e., 100010001000 years). A sampl
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Answer:

Carbon-14 loses around 10% ( 0.1 in decimal form) of its mass, after one millennium.

Then if we start with a mass A of Carbon-14, after one millennium we will have a mass equal to:

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After another millennium, we will have a mass equal to:

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And so on, this is an exponential decay.

We already can see the pattern here, after x millenniums, the mass of carbon-14 will be:

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2 years ago
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Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a
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Answer:

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of inches occurs the most often is 19.5 with 3 times

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8 0
2 years ago
The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
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Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

7 0
2 years ago
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