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3 years ago

For which function does f decrease by 15% every time x increases by 1

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

Answer:

$f(x) = 0.85^{x}$

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

$f(x) = {(1 - 0.15)}^{x}$

We simplify the parenthesis to get:

$f(x) = 0.85^{x}$

Therefore the decrease by 15% every time x increases by 1 is

$f(x) = {0.85}^{x}$

The second choice is correct.

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3 years ago

Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has

Mazyrski [523]

Answer:

Julia has enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs $\frac{13}{16}$ gallon of gas to mow first yard.

Julia needs $\frac{2}{5}$ gallon of gas to mow second yard.

Julia has a total of $1\frac{1}{2}$ gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

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Taking LCD =80.

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Adding the numerators.

⇒ $\frac{97}{80}$

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2 years ago

Store A

MArishka [77]

<h3>Answer: Choice C) $1,444.50</h3>

========================================================

There are two methods to get the answer.

The slightly longer method is to take 7% of the original price to get

7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50

The sales tax is $94.50

Add this onto the original price to get 1,350+94.50 = 1,444.50

----------------------------

A shortcut is to multiply the original price by 1.07

The multiplier 1.07 represents a 7% increase since

1 = 100%
0.07 = 7%
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So we will have 1.07*1350 = 1,444.50

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On the box, the first line to the left represents the first quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the third quartile. 75% of the scores represents the third quartile.

For the data given, the:

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2 years ago

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azamat

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem above:

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