A magician is training for an underwater escape trick. Upon first trying, he could hold his breath for 60 seconds. Now, using a different technique, he can hold it for 35% longer. How long can the magician currently hold his breath?

Answers

Answer 1

Answer:

ANSWER: 35% of 60 is 21 I'll let you figure out the rest.

Answer 2

Answer:

Final answer:

The magician can hold his breath 35% longer than before, which equates to 81 seconds. This is accomplished by calculating 35% of the initial 60 seconds (21 seconds), and then adding this to the original 60 seconds.

Explanation:

The subject of this question is how to calculate percentages. In this case, we are given that the magician could initially hold his breath for 60 seconds and after employing a new technique, he can now hold his breath for 35% longer than the initial time. To find this out, we need to calculate 35% of 60 and add it to 60.

First, calculate 35% of 60: 0.35 * 60 = 21 seconds
Then add that result (21 seconds) to the initial time (60 seconds): 60 + 21 = 81 seconds.

Therefore, using his new technique, the magician can now hold his breath for 81 seconds.

Learn more about Percentages here:

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The Harris family needs to purchase topsoil for their landscaping project (measuring 50 ft x 40 ft with a thickness of 6 inches of topsoil/mulch). They have two options:a. purchasing the soil in 3 ft3 bags priced at $2.25 each with no delivery charge, or
b. purchasing in bulk at $18 per cubic yard with a one-time $50 delivery fee. Which option is the least expensive and by how much? Explain.

Answers

50ft x 40ft x 0.5ft = 1,000 ft³ of soil needed for the project

1000/3= 333.3 bags of soil would be needed, so round up to 334.
334 x $2.25 = $751.50

convert the feet³ to yards³, divide the 1000 ft³ by 27 (27 ft³ in 1 yard³)
1000/27= 37.037(repeating) yd³ I'll round up to 38 yd³
38yd³ x $18 = $684 + $50 delivery fee = $734

So, the bulk soil is less expensive by $17.50

mike and some of his friends went camping. they went on a nature hike and fund 25 different insects.mike found 15 of those insects .what is the ratio of insects mike found to th insects found by the group

Answers

Answer:

15 to10

Step-by-step explanation:

Which function is NOT linear? ☆y=x²+2 ☆y=3x ☆ y = 3x/4 ☆ x - y = 1

Answers

Answer:

y = x^2 +2

Step-by-step explanation:

x^2 is parabolic not linear

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $4, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $5 will cause the sales to fall to 6000 Fun Noodles per day. Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).

type your answer in slope intercept
b. predict the daily sales of Fun Noodles if the price is $4.50

Answers

Answer: PART A:

The generic equation of the line is:

y-yo = m (x-xo)

First we look for the slope of the line:

m = (y2-y1) / (x2-x1)

m = ((5000) - (6000)) / (4-3)

m = -1000

Then, we substitute any point in the generic equation:

(xo, yo) = (4, 5000)

Substituting:

y-5000 = (- 1000) (x-4)

Rewriting:

y = -1000x + 4000 + 5000

y = -1000x + 9000

The equation is:

y = -1000x + 9000

PART B:

For the price of 3.50 we have:

y = -1000 * (3.5) +9000

y = 5500

Step-by-step explanation:

2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?

Answers

Answer:

$20.84

Step-by-step explanation:

div 1 = $0.50

div 2 = $0.50

div 3 = $0.50 x 1.05 = $0.525

div 4 = $0.525 x 1.05 = $0.55125

years 5 and beyond we need to use the growing perpetuity formula:

stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32

now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:

stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84

The area of a rectangular painting is 4275cm². if the length of the painting is 75cm, what is its width?

Answers

Answer:

Width = 57cm

Step-by-step explanation:

The area of a rectangle can be found by using the formula:

Area = Length * Width

Since we know that the area is 4275cm² and the length of the painting is 75cm, we can plug these into the above equation to solve for the width.

Area = Length * Width

4275cm² = 75cm * Width

To find the width, we can simply divide both sides by 75 so that the width measurement is isolated:

Width = 57cm

To verify this, we can multiply the length and width to see if the area equals 4275cm²:

75cm * 57cm = 4275cm²

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