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3 years ago

6

elsa took out a 2 year loan to buy a car at a 6% simple interest rate. if she has to pay 264 in interest how much principal did

she borrow

1 answer:

saw5 [17]3 years ago

3 0

15.84 was the answer I got

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Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash

erica [24]

What he has left in the bank is here :

(123.17 + 34.68) - 50 = 107.8

He still has $107.8 left in the bank and he has $50 in his pocket.

I hoped I helped!

7 0

4 years ago

Read 2 more answers

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,91

Maurinko [17]

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that $n = 3900, \pi = \frac{1911}{3900} = 0.49$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032$

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

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

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

3 0

3 years ago

A cone and a pyramid are both 3 inches in height. If the radius of the base of the cone is 4 in and the a side of the square bas

kotegsom [21]

I got the answer of the cone

6 0

4 years ago

Read 2 more answers

Steven just got a new summer job painting fences in his neighborhood. He will be paid $7.25 an hour. His first customer paid him

mote1985 [20]

Answer:

a). The equation; 7.25 h-36.25=0

b). total number of hours Steven work=5 hours

Step-by-step explanation:

Part A

The expression for the total money earned is as follows;

T=E×h

where;

T=total earnings

E=earnings per hour

h=number of hours worked

In our case;

T=$36.25

E=$7.25

h=h

replacing;

36.25=(7.25×h)

36.25=7.25 h

The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0

Part B

7.25 h=36.25

h=36.25/7.25

h=5

total number of hours Steven work=5 hours

5 0

3 years ago

I need to know the answer

grandymaker [24]

Answer: $f(x)=-(x-5)^{2}(x+2)$

Step-by-step explanation:

There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form $f(x)=a(x-5)^{2}(x+2)$ for some constant a.

To find a, we can substitute the coordinates of the y-intercept, (0, -50).

$-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1$

So, $f(x)=-(x-5)^{2}(x+2)$

3 0

2 years ago