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2 years ago

5

A magic 8 ball has a diameter of 5 inches. It is filled 85% full with bull water. How much space is occuppied by water? Round to

the nearest tenth?

1 answer:

Doss [256]2 years ago

4 0

2.4 isn’t occupied, whilst 13.3 is full

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Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 o

lapo4ka [179]

Answer:

Selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .

Step-by-step explanation:

Let us assume that the selling price of hockey game set be x .

As given

Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set.

45% is written in the decimal form .

$= \frac{45}{100}$

= 0.45

Thus the equation becomes

0.45 × x = 65.34

0.45x = 65.34

$x = \frac{65.34}{0.45}$

x = 145.2

Therefore the selling price of the hockey game set is $145.2 .

Thus

Markup price = Selling price + Overhead Price

= $145.2 + $65.34

= $ 210.54

As given

If the air hockey game set costs Pyotr Tchaikovsky Sports $49.32 .

i.e Cost price of the hockey game set = $ 49.32

Profit = Selling price - Cost price

= 145.32 - 49.32

= $ 96

Therefore selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .

7 0

3 years ago

Consider the division statement 1/4 divided by 7/16

choli [55]

Answer:

4/7

Step-by-step explanation:

1/4 divided by 7/16 is the same thing as 1/4 * 16/7. Multiply this and you will get the fraction of 16/28. Once simplified, this comes out to be 4/7.

5 0

3 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is <u>$22,495</u>

Second part: Molly's monthly payment will be approximately <u>$286.2</u>

Third part: The total interest Molly will pay using the plan is approximately <u>$1,545.8</u>

Fourth part: The amount the car costs Molly using the plan is approximately <u>$26,540.8</u>

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, <em>r</em> = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = <u>$22,495</u>

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be <em>M</em> ≈ <u>$286.2</u>

Third part:

The total interest, <em>I</em> = Sum of payment - Loan amount

∴ The total interest, <em>I </em>≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, <em>I</em> ≈ <u>$1,545.8</u>

Fourth part:

The cost of the car, <em>C</em>, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ <u>$26,540.8</u>

<em>The question parameters obtained from a similar question are;</em>

<em>Selling price of the car = $25,495</em>

<em>Financing = 1.9% APR for 84 months with a cash allowance of $500</em>

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago

New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their

Tom [10]

Answer:

1

The correct option is C

2

The correct option is C

3

The correct option is A

4

The correct option is B

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 100$

The standard deviation is $\sigma = 15$

The sample size is $n = 36$

The sample mean is $\= x = 105.1$

Generally

The null hypothesis is $H_o: \mu = 100 \ hours$

The alternative hypothesis is $H_a : \mu \ne 100\ hours$

Given that the null hypothesis is true then the distribution of sample means $\mu_{\= x }$ , from a sample size of 36 is mathematically represented as

$\mu_{\= x } = \mu$

=> $\mu_{\= x } = 100$

According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large $(n > 30 )$ so given that the sample size is large n = 36

Then the test is normally distributed and hence the standard deviation is 15

Generally the standard error of mean is mathematically represented as

$\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }$

=> $\sigma_{\= x } = \frac{15}{\sqrt{36} }$

=> $\sigma_{\= x } = 2.5$

Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

$P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }}$

=> $P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z$

From the z-table (reference calculator dot net )

$P(Z$

So

$P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932$

$P( \= X \ge 105.1 ) =0.02$

4 0

4 years ago

Balloons or bust sells balloons in 18 different colors. Each color comes in 3 sizes. They will inflate the balloon and tie on a

Natasha_Volkova [10]

There are 270 different combonations
18x5x3=270

6 0

3 years ago