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Amiraneli [1.4K]
3 years ago
15

In​ March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cos

t ​$1327. They start with ​$120. At the beginning of each month they plan to deposit 20​% more than the previous month. Will they have enough money for their​ trip? If​ not, how much more do they​ need? Select the correct answer below​ and, if​ necessary, fill in the answer box within your choice.
Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0
Deposited money:

March: 120
April: 120+(120×20)/100=120+24=144
May: 144+(144×20)/100=144+18,8=162,8
June: 162,8+(162.8×20)/100=162,8+32.56=195.36
July: 195.36+(195.36×20)/100=195.36+23.87=219.23
August: 219.23+(219.23×20)/100=219.23+43.85=263.08

120+144+162.8+195.36+219.23+263.08=1105.19
So the answer is no.
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Step  5  :Wrap up the solution

<span> z=2/3
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2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
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Another term is moved / added to the right hand side.

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<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

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     Rearrange and Add up
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<span>Step  4  :</span>Solve the Positive Case

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     Rearrange and Add up
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     Which is the solution for the Positive Case

<span>Step  5  :</span>Wrap up the solution

    -6 < x < 26/3

Solution in Interval Notation

    (-6,26/3) 

HOPE THIS HELPS :D
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