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Delvig [45]
3 years ago
9

One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many wi

ll most likely spend 5 hours at the gym this week?
Mathematics
1 answer:
lana [24]3 years ago
8 0

Answer: 50

Step-by-step explanation:

From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.

Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:

= 1/3 × 150

= 50 people

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Audrey deposited $10,000 into a 3-year certificate of deposit that earned 10 percent annual interest, compounded annually. Audre
ahrayia [7]

Answer:

$13,310

Step-by-step explanation:

Your formula is A=P(1+r/n)^nt

P is what you put into the account = 10,000

R is the interest rate as a decimal = .1

T is the time in years= 3

In the formula this would be:

10,000(1+.1/1)^3

Use a calculator.

The answer is 13,310

4 0
4 years ago
In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

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Answer:

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Step-by-step explanation:

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So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

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