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1 year ago

Caroline bike 1,754 mile in ix month. If he bike the ame number of mile each month, about how many mile doe he bike each month

Mathematics

1 answer:

Airida [17]1 year ago

3 0

The distance covered in each month = 194.89 miles

<h3>What is unitary method ?</h3>

The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.

<h3>What is Distance ?</h3>

Distance. A line or line segment's length between two points along the line or line segment

According to the given information

Using unitary method

Distance covered in 9 months = 1,754 miles

Distance covered in each month = $\frac{1754}{9}$ miles

So,

The distance covered in each month = 194.89 miles

To know more about Unitary Method

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If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5%

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Complete Question

If $12000 is invested in an account in which the interest earned is continuously compounded at a rate of 2.5% for 3 years

Answer:

$ 12,934.61

Step-by-step explanation:

The formula for Compound Interest Compounded continuously is given as:

A = Pe^rt

A = Amount after t years

r = Interest rate = 2.5%

t = Time after t years = 3

P = Principal = Initial amount invested = $12,000

First, convert R percent to r a decimal

r = R/100

r = 2.5%/100

r = 0.025 per year,

Then, solve our equation for A

A = Pe^rt

A = 12,000 × e^(0.025 × 3)

A = $ 12,934.61

The total amount from compound interest on an original principal of $12,000.00 at a rate of 2.5% per year compounded continuously over 3 years is $ 12,934.61.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Martine’s town is building a volleyball court based on a scale drawing that is 40cm to 80cm and uses the scale 1cm:22.5cm write

never [62]

Answer:

$y=22.5x$

Step-by-step explanation:

we have that

The scale drawing is

$\frac{1}{22.5}\frac{cm}{cm}$

we know that

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Let

x -----> drawing court lengths in cm

y ----> court lengths in cm

For x=40 cm

$\frac{1}{22.5}\frac{cm}{cm}=\frac{40}{y}\frac{cm}{cm}\\\\y=40*22.5\\\\y=900\ cm$

For x=80 cm

$\frac{1}{22.5}\frac{cm}{cm}=\frac{80}{y}\frac{cm}{cm}\\\\y=80*22.5\\\\y=1,800\ cm$

Find the equation for the proportional relation ship between drawing court lengths x in centimeters and court lengths in y centimeters

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

For x=40 cm, y=900

substitute

$k=y/x$ -----> $k=900/40=22.5$

The equation is

$y=22.5x$

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3 years ago

2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w

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Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

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x+y=32--------1

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substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

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2y=40

divide both sides by 2 we have

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volume = length × width × height

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3 years ago