Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 

Answer:

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

Step-by-step explanation:

Let p1 be the sample of 1000 adults chosen in 2012 and

p2 be the sample of 1100 adults chosen in 2010

Part a:

The hypothesis that can be used to test for a significant difference between the population proportions for the two years is:

H0: p1-p2= 0           against the claim      Ha: p1-p2≠0

Part b:

The sample proportion indicating that their financial security was more that fair in 2012 is

p1^= 410/1000= 0.41

In 2010 is:

p2^= 385/1100= 0.35

Part c:

p^c= 410+385/1000+1100= 0.3785

q^c= 1-p^c= 1-0.3785= 0.6124

The critical region is z > ±1.96

The test statistic is

z= p1^- p2^ / sqrt ( p^cq^c( 1/n1+ 1/n2)

z= 0.41-0.35 /sqrt( 0.3785*0.6124(1/1000 +1/1100)

z=  0.06 / 0.021036

z= 2.85

Conclusion

The calculated z = 2.85 falls in the critical region z > 1.96 so we accept the null hypothesis that there is no difference between the population proportions for the two years.

P- value :  0.00466

The result is significant( accept the null hypothesis) for  value less than 0.05

Part d:

                                                     2012                         2010

Sample                                       1000                           1100

Proportions                               0.41                             0.35

Standard Error               √0.41( 0.59)/1000        √0.35( 0.65)/1100

                                               = 0.0155                0.01438

Standard Error for the difference = √0.0155² + 0.01438² =0.0211

p1-p2 ± z* standard error for the difference

0.41-0.35 ± 1.96 *( 0.0211)

0.06 ± 0.041356

-0.018644,   0.101356

The 95 % confidence interval estimate is (-0.018644,   0.10135

Answer:

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Step-by-step explanation:

hhahaha

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

Answer:

24 1/3

Step-by-step explanation:

long division

Answer:

Carbon

Step-by-step explanation:

When the power of 10 is negative, the less the exponent the bigger the number

Answer:

Step-by-step explanation:

the larger number is 1.995x10^-23

Answer: Solution

A=πr2=π·302≈2827.43339

Step-by-step explanation:

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

Answer:

80.11 inches

Step-by-step explanation:

The formula to finding the circumference of a circle is:

C = 2πr (C = circumference, π = pi, r = radius)

Replace r with the radius:

C = 2π(12.75)

Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded

to the nearest hundredth is 80.11

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500

Options :

a. The surveys are biased because people chose to respond or not.

b. Because of the large sample size, the results are most accurate of all members of the community.

c. The same sampling methods were used for both polls, demonstrating reliability.

Answer:

a. The surveys are biased because people chose to respond or not

Step-by-step explanation:

When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.

Answer:

$60

Step-by-step explanation:

3 tenths of 100 is 30

1 * 10 is 10

100 - 30 + 10

= 100 - 40

= $60

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

-34/7 is the exact form -4.857142 repeating

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Add both distances together:

50 + 22 = 72 feet total distance.

4. x= 40

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

☺️

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Answer:

4 option...... .......

Answer:

Step-by-step explanation:

This would be -27/3 = -9

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are specified that:

40% of N = 240

Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get

[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]

Thus,  40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

Learn more about percent here:

https://brainly.com/question/11549320

Answer: Your Answer Is A) 41

Step-by-step explanation:

             328

              ^

          2 x 164

              ^

          2 x 82

              ^