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Oksi-84 [34.3K]
3 years ago
10

Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his n

ext paycheck to cover the remaining amount, how much money must he make in his paycheck
Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

$812.5

Step-by-step explanation:

Given: Ethan need to save at least $500.

          He has saved so far $175

          Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Lets assume Ethan´s paycheck amount be "x"

First finding the remaining amount to be covered.

Remaining amount= \$ 500 - \$ 175= \$ 325

∴ The remaining amount to be covered is $325.

As given, Ethan hope to use two-fifths of his next paycheck to cover the remaining amount.

Now, using the inequality to find the amount of paycheck.

⇒ x\times \frac{2}{5} \geq \$ 325

multiplying both side by 5

⇒ x\times 2\geq 325\times 5

divinding both side 2

⇒ x\geq \frac{1625}{2}

∴ x\geq \$ 812.5

Hence, Ethan must make at least $812.5 in his paycheck to cover his remaining anount to buy dirt bike.

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Ugo [173]

Part A - linear functions change at a constant rate.. while exponential functions change at a constant percent rate... that sounds the same but it's not.  A linear function will go up (or down) the same amount when the time period is the same...  like up 1,000 more visitors every month... if this happens, when you subtract the visitors for month 10-month 9, you will get the same answer as when you subtract he visitors for month 9-month 8.  

An exponential function will go up by the same % when the time period is the same... so it'd be like if it went from 1,000 to 1,100 (that's up 100, which is 10% of 1,000) and then from 1,100 to 1,210 (that's up by 110, which is 10% of 1,100). If this happens you get the same answer when you divide the visitors for month 10 by the visitors from month 9 as you get when you divide the visitors for month 9 by the visitors from month 8.    (sometimes because of decimals you only get really really close to the same but that counts).

This one is exponential because dividing gets you around 2.09 every time

Part B

Since dividing # of visitors by the # from the month before gets you around 2.09 each time, we multiply that by 100 to get the % version of the decimal.

So that's 209%... but that's not how much it changes by or grows by... that's what it ends up.  It goes from itself (100%) to a bigger # (209%).. that's a 209-100 = 109% increase each month.



Part C

you need to think a little bit about what's going on in class.... becasue there are a bunch of different ways to do this. Sometimes you make an equation, sometimes you work backwards.


Here's one way... since multiplying visitors from week 8 by 2.09 gets you week 9 visitors.. and multipliying week 9 visitors by 2.09 gets you week 10... etc.... we can go backwards...

Week 7 visitors times 2.09 would equal the week 8 visitors

so,  w(2.09)=5.74

if we divide both sides by 2.09 we get w is equal to about 2.7464...  so the week 7 visitors is about 2.7464 (thousands) or 2,746.


Hope that helps



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3 years ago
Lana's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of wate
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Answer:

Lana can put 24 drops of bubble bath for her sister

Step-by-step explanation:

If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.

If the bathtub can hold 12 gallons of water

There are 12÷1/2 gallon

=12×2/1

=24

It means there are 24 half gallons in the bathtub

If every half gallon of water requires a drop of the bubble bath

Then,

24 half gallons of water requires 24 drops of the bubble bath

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A triangle is formed by the ordered pairs X(–5, 6), Y(7, 6), and Z(7, 2). If mX=18°, what is mZ?
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Answer:

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3/8x + 3 + 1/2x -1/2

Now combine like terms:

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