Which graph shows a system of equations with the solution (5,-3)?

1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually

Hoochie [10]

Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : $FV=\$25,000$

The rate of interest : $r=0.06$

The number of time period : $t=5$

The formula to calculate the future value is given by :-

$\text{Future value}=P(1+i)^n$ , where P is the initial amount deposited.

$\Rightarrow\ 25000=P(1+0.06)^5\\\\\Rightarrow\ P=\dfrac{25000}{(1.06)^5}\\\\\Rightarrow\ P=18681.4543217\approx=18681.45$

Hence, the lump that must be deposit today : $ 18681.45

4 0

2 years ago

Which of the following is a solution of x2 - 7x = -5?

svetlana [45]

I hope this helps you

6 0

2 years ago

36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the

PtichkaEL [24]

Answer:

200.4 at 0.25%

Step-by-step explanation:

Given data

P= P200

r= 0.25%

t= 1 year

n= 12

A= P(1+ r/n)^nt

substitute

A= 200(1+ 0.0025/12)^12*1

A= 200(1+ 0.00020833333)^12

A= 200(1.0002)^12

A= 200* 1.002

A= 200.4

Hence the amount is 200.4 at 0.25%

7 0

2 years ago

Which construction will determine a midpoint?

likoan [24]

perpendicular bisector

5 0

2 years ago

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Type the correct answer in the box. Express your answer to three significant figures. An air mattress is filled with 0. 55 moles

qaws [65]

The volume of the air mattress in liters is 385.43 liters approx.

<h3>What is ideal gas law?</h3>

For an ideal gas(or a gas that behaves sufficiently like an ideal gas), we have the following relation:

$\rm PV = nRT$

where, the symbol denotes:

P = Pressure of the gas
V = volume of the gas
T = temperature of the gas
n = count of moles of the gas
R = universal gas constant = 8314.46261815324 $L.Pa.K^{-1}.mol^{-1}$

For the given case, the gas in the air mattress has following properties:

P = 3.5 kilopascals =3500 pascals

T =295 K

n = 0.55 moles

V = volume of gas in air mattress = volume of mattress (to evaluate).

Thus, using the ideal gas law, we get:

$V = \dfrac{nRT}{P} = \dfrac{0.55 \times 8314.46261815324 \times 295}{3500} \approx 385.43 \: \rm liters$

Thus, the volume of the air mattress in liters is 385.43 liters approx.

Learn more about ideal gas law here:

brainly.com/question/4147359

4 0

1 year ago

Read 2 more answers