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snow_tiger [21]
3 years ago
9

Population of Jacksonville was 3810 and 2010 and is growing at an annual rate of 3.5% if the growth rate continues what will the

approximate population in 2023
Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

FV= 5,958.67 = 5,959

Step-by-step explanation:

Giving the following information:

Current population (Present Value)= 3,810

Growth rate (g)= 3.5% annual

Number of periods (n)= 13 years

<u>To calculate the future number of people (FV), we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 3,810*(1.035^13)

FV= 5,958.67 = 5,959

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This is a really quick question and I need your help
marishachu [46]

Step-by-step explanation:

To find the slope, calculate rise and run. The formula is as follows...

\frac{Rise}{Run} =\frac{y2-y1}{x2-x1}

7 0
3 years ago
Mr. Li and Ms. Brown both sell used cars. Mr. Li sells a car for $9950 and earns $447.75 commission. Ms. Brown sells a car for $
bazaltina [42]

Answer:

Mr. Li

Step-by-step explanation:

$447.75 is 4.5% of $9,950 - Mr. Li earns a 4.5% commission

$453.20 is 4.4% of $10300 - Ms. Brown earns a 4.4% commission

4 0
3 years ago
A gas is said to be compressed adiabatically if there is no gain or loss of heat. When such a gas is diatomic (has two atoms per
Tems11 [23]

Answer:

The pressure is changing at \frac{dP}{dt}=3.68

Step-by-step explanation:

Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.

We know that the volume is decreasing at the rate of \frac{dV}{dt}=-4 \:{\frac{cm^3}{min}} and we want to find at what rate is the pressure changing.

The equation that model this situation is

PV^{1.4}=k

Differentiate both sides with respect to time t.

\frac{d}{dt}(PV^{1.4})= \frac{d}{dt}k\\

The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:

\frac{d}{{dx}}\left( {f\left( x \right)g\left( x \right)} \right) = f\left( x \right)\frac{d}{{dx}}g\left( x \right) + \frac{d}{{dx}}f\left( x \right)g\left( x \right)

Apply this rule to our expression we get

V^{1.4}\cdot \frac{dP}{dt}+1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}=0

Solve for \frac{dP}{dt}

V^{1.4}\cdot \frac{dP}{dt}=-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}\\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}}{V^{1.4}} \\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}

when P = 23 kg/cm2, V = 35 cm3, and \frac{dV}{dt}=-4 \:{\frac{cm^3}{min}} this becomes

\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}\\\\\frac{dP}{dt}=\frac{-1.4\cdot 23 \cdot -4}{35}}\\\\\frac{dP}{dt}=3.68

The pressure is changing at \frac{dP}{dt}=3.68.

7 0
4 years ago
Solve 5x+3=3x+11<br><br>Please can someone answer this.​
scoray [572]
5x + 3 = 3x + 11

• first put all the x-values on one side and the rest on the other

Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)

5x - 3x = 11 - 3

• subtract left and right sides separately

2x = 8

• divide both sides by 2 to solve for x

2x/2 = 8/2

x = 4 (final answer)

8 0
3 years ago
Read 2 more answers
Out of a total of 3000 available parking spaces in a mall
guajiro [1.7K]

Answer:

62.5% of the parking spaces are taken.

Step-by-step explanation:

Given

  • Total Spaces = 3000
  • Taken paces = 1875

To determine

What percent of the parking  spaces are taken?

The percentage of taken spaces of the part can be determined using the formula

% of Taken spaces = [Taken spaces / Total Spaces ] × 100

                               = [1875 / 3000] × 100

                               = 0.625 × 100

                               = 62.5%

Therefore, 62.5% of the parking spaces are taken.

7 0
3 years ago
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