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2 years ago

An 8 foot length of 4 inch wide crown molding costs $16. How much will it cost to buy 40 feet of crown molding?

1 answer:

6 0

Converting feet to inches, 8*12=96 and 96*4=384. Next, 40*12=480. Since 384*x (if x represents the cost per inch of crown molding)=16*100=1600 cents due to that for every inch, we add x amount of money, we can find x to be 1600/384=800/192=400/96=200/48=100/24=50/12=25/6 by simply dividing both the numerator and denominator by 2 each time. Since we add x amount of money for every inch, and we have 480 inches, 480*x=480*25/6=2000 cents=2000/100=20 dollars is our answer

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You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. During one year, the two accounts earned $570. How

Luda [366]

Answer: You invested $6000 in both accounts.

Step-by-step explanation:

Let x represent the amount invested in the account earning 4.5% interest.

Let y represent the amount invested in the account earning 5% interest.

You invested a total of $12,000 at 4.5 percent and 5 percent simple interest. This means that

x + y = 12000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5%

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 5%

I = (y × 5 × 1)/100 = 0.05y

During one year, the two accounts earned $570. . This means that

0.045x + 0.05y = 570 - - - - - - - - - - 1

Substituting x = 12000 - y into equation 1, it becomes

0.045(12000 - y) + 0.05y = 570

540 - 0.045y + 0.05y = 570

- 0.045y + 0.05y = 570 - 540

0.005y = 30

y = 30/0.005 = 6000

x = 12000 - y = 12000 - 6000

x = $6000

6 0

2 years ago

From a survey of coworkers you find that 32% of 150 have already received this year's flu vaccine. An approximate 98% confide

Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32%

98% confidence interval: (0.231, 0.409)

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

a) Sample size had been 600 instead of 150

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90% instead of 98%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.

c) Confidence level had been 99% instead of 98%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

4 0

2 years ago

The height of a baseball thrown from the catcher to first base is modeled by the function h(t) = –0.09t2 + 0.72t + 6, where h is

Black_prince [1.1K]

The height of a baseball thrown from the catcher to first base is modeled by the function $h(t) = -0.09t^2 + 0.72t + 6$ , where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds

To find out height of the ball at 10 seconds, we plug in 10 for t

$h(t) = -0.09t^2 + 0.72t + 6$

$h(10) = -0.09(10)^2 + 0.72(10) + 6$

h(10)=4.2 feet

the height of the ball at 10 seconds= 4.2 feet

3 0

2 years ago

Aeen is drinking a beverage that has a pH of 3.3. Marien is drinking a beverage that has a pH of 2.7. About how many time the hy

AlekseyPX

The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:

Aeen
3.3 = -log (H+)
H+ = 0.04 M

Marien
2.7 = - log (H+)
(H+) = 0.07 M

Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.

3 0

1 year ago

Read 2 more answers

Solve 9/11 + 3/13 × 26/33 - (21/121÷ 71/111)

Julli [10]

Answer:

0.72 or 0.72866953788 0.7 0.72866953788

3 0

1 year ago