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2 years ago

You are offered a job that pays a different amount each day. The

Mathematics

1 answer:

WINSTONCH [101]2 years ago

7 0

Answer:

Salary by day = .01 * 2^(n-1)

where n = # of days so

day 1 = .01 * 2^(1 -1) = .01 * 2^0 = .01

day 2 = .01 * 2^(2 -1) = .01 * 2^1 = .02

day 3 = .01 * 2^(3 -1) = .01 * 2^2 = .04

day 4 = .01 * 2^(4 -1) = .01 * 2^4 = .08

Step-by-step explanation:

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What is the rate at which the water is leaking in gallons per minute?

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About 6 to 12 gallons per minute

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2 years ago

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A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long

aniked [119]

Answer:

250.34 feet

Step-by-step explanation:

Find attached to this answer and appropriate diagram.

From this question, we can see that this is a trigonometric function

The height of the radio tower = 225 feet = Opposite side

θ = Angle 64°

In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.

From the attached diagram, we can see that that is equivalent to finding the hypotenuse.

Hence, we are using the Trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse side

sin 64 = 225 feet/ Hypotenuse

Cross multiply

sin 64 × Hypotenuse = 225 feet

Divide both sides by sin 64

Hypotenuse = 225 feet / sin 64

Hypotenuse = 250.33543661 feet

Approximately = 250.34 feet

Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.

7 0

3 years ago

Mr. Drysdale earned 906.25 in interest in one year on money that he had deposited in

VikaD [51]

Answer: Mr Drysdale deposited 14,500

Step-by-step explanation:

Using the simple Interest formula

Simple Interest = Principal(Initial Money) * Interest Rate * Time Period

I = P*R*T

I = PRT

To get P which is the initial money he deposited, we divide both sides by RT

I/RT = PRT/RT

I/RT = P

Therefore the money deposited

P = I/RT

Interest (I)= 906.25

Interest Rate (R)= 6.25% = { converting percentage to decimal} (6.25/100)= 0.0625

Time Period (T) = 1 year

Principal (P)= ?

P= I/RT

P= 906.25/(0.0625 * 1)

P= 906.25/0.0625

P= 1450

The money he deposited in his local bank is 14,500

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3 years ago

A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. Use the formula r=(F/P)^1/n−1 to find the annual

enot [183]

Answer:

Step-by-step explanation:

The formula representing the the annual inflation rate r is expressed as

r = (F/P)1/n−1

Where

n represents the the number of years during which the value increases from P to F

A farm increases in value from $800,000 to $1,100,000 over a period of 6 years. This means that

P = $800,000

F = $1,100,000

n = 6

Therefore,

r = (1100000/800000)1/6−1

r = 1.375/5 = 0.275

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2 years ago

Identify a pair of perpendicular lines in the given figure.

Georgia [21]

S and t most likely

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2 years ago