What is Melissa’s original salary if she gets 4% increase in pay and is now getting $29,12? Round to the nearest dollar.

Determine what type of model best fits the given situation:

lyudmila [28]

Let value intially be = P

Then it is decreased by 20 %.

So 20% of P = $\frac{20}{100} \times P = 0.2P$

So after 1 year value is decreased by 0.2P

so value after 1 year will be = P - 0.2P (as its decreased so we will subtract 0.2P from original value P) = 0.8P-------------------------------------(1)

Similarly for 2nd year, this value 0.8P will again be decreased by 20 %

so 20% of 0.8P = $\frac{20}{100} \times 0.8P = (0.2)(0.8P)$

So after 2 years value is decreased by (0.2)(0.8P)

so value after 2 years will be = 0.8P - 0.2(0.8P)

taking 0.8P common out we get 0.8P(1-0.2)

= 0.8P(0.8)

$=P(0.8)^{2}$ -------------------------(2)

Similarly after 3 years, this value $P(0.8)^{2}$ will again be decreased by 20 %

so 20% of $P(0.8)^{2} \frac{20}{100} \times P(0.8)^{2} = (0.2)P(0.8)^{2}$

So after 3 years value is decreased by $(0.2)P(0.8)^{2}$

so value after 3 years will be = $P(0.8)^{2} - (0.2)P(0.8)^{2}$

taking $P(0.8)^{2}$ common out we get $P(0.8)^{2}(1-0.2)$

$P(0.8)^{2}(0.8)$

$P(0.8)^{3}$ -----------------------(3)

so from (1), (2), (3) we can see the following pattern

value after 1 year is P(0.8) or $P(0.8)^{1}$

value after 2 years is $P(0.8)^{2}$

value after 3 years is $P(0.8)^{3}$

so value after x years will be $P(0.8)^{x}$ ( whatever is the year, that is raised to power on 0.8)

So function is best described by exponential model

$y = P(0.8)^{x}$ where y is the value after x years

so thats the final answer

3 0

3 years ago

Can someone help me with this question?

Lina20 [59]

Answer:1/3

Step-by-step explanation:

gradient equals

$\frac{Y2-Y1}{X2-X1}$

= $\frac{5-3}{10-4}$

= $\frac{2}{6}$

= $\frac{1}{3}$

6 0

2 years ago

Explain how to solve this problem in your own words.

natta225 [31]

Answer:

3 m^8

Step-by-step explanation:

We know that a^b / a^c = a^( b-c) so using the quotient rule for exponents

3 * m^( 7 - -1)

3 *m^(8)

7 0

3 years ago

What is the surface area of this right prism?<br><br> Enter your answer in the box.<br><br> cm²

fomenos

Answer:

<h2>the answer is</h2><h2>166 cm²</h2>

Step-by-step explanation:

we know that

surface area of the prism=2*area of the base+perimeter of the base*height

step 1

find the area of the base

area of the base=length* width

length=5 cm

width=4 cm

area of the base=5*4-----> 20 cm²

step 2

find the perimeter of the base

perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm

step 3

height=7 cm

step 4

find the surface area

surface area of the prism=2*area of the base+perimeter of the base*height

surface area of the prism=2*20+18*7----> 166 cm²

7 0

2 years ago

Can anyone help me with this please

son4ous [18]

Answer:

its 34

Step-by-step explanation:

46

7 0

3 years ago

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