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3 years ago

$5000 dollars is borrowed for 3 months at an annual interest rate of 18%. How much interest must be paid?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

7 0

Answer:

Step-by-step explanation:

18:12*3=4,5

5000*4,5:100=225

5000+225=5225

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Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t

igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 150, \pi = \frac{120}{150} = 0.8$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.576$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841$

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0

3 years ago

Graph the system of equations on your graph paper to answer the question. y = - x + 4, \qquad y = x - 2 What is the solution for

Leno4ka [110]

Answer:

y=x+2

y=-x+8

Step-by-step explanation:

8 0

3 years ago

What is the solution to x-4y=-5 and -x+6y=7

Triss [41]

x - 4y = -5
-x + 6y = 7
---------------add
2y = 2
y = 1

 x - 4y = -5
x - 4(1) = -5
x - 4 = -5
x = -1

answer
x = -1 and y = 1

8 0

3 years ago

an important step in science supporting a theory or idea with data the questions we ask help determine the type of data we colle

skad [1K]

Answer:

oh nah oh yea oh nah the answer is this the answer is that

Step-by-step explanation:

8 0

3 years ago

If a= m2 + 2, what is the value of a when m=-3? 0-7 -4 11 00

vladimir1956 [14]

Answer:

a=11

Step-by-step explanation:

a=m2 +2

a= (-3)2+2

a=9+2

a=11

6 0

3 years ago