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3 years ago

Urgent! Thankyou!! Extra points! 1. Create a rational expression that will be undefined at x=1

Mathematics

1 answer:

Helen [10]3 years ago

6 0

Hello from MrBillDoesMath!

Answer:

1/ (1-x)

Discussion:

Two examples come to mind:

1/ (1-x)

1/( 1-x) ^ n n = 1 ,2 3,....

Thank you,

MrB

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Find the size of each of 66 payments made at the end of each year into a 88% rate sinking fund which produces $36000 at the en

Assoli18 [71]

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$ , where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

$P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99$

Hence, the payment size is $7787.99.

8 0

3 years ago

PLEASE HELPPPPPPP

Fed [463]

Answer:

Molar mass = 254.60g/mol

Step-by-step explanation:

Mass = 8.02g

Volume = 812mL = 0.812L

Pressure (P) = 0.967atm

Temperature of the gas = 30°C = (30 + 273.15)K = 303.15K

Molecular weight = ?

To solve this question, we'll have to use ideal gas equation, PV = nRT

P = pressure of the gas

V = volume of the gas

n = number of moles of the gas

R = ideal gas constant = 0.082J/mol.K

T = temperature of the gas

PV = nRT

n = PV / RT

n = (0.967 * 0.812) / (0.082 * 303.15)

n = 0.7852 / 24.8583

n = 0.0315 moles

Number of moles = mass / molarmass

Molarmass = mass / number of moles

Molar mass = 8.02 / 0.0315

Molar mass = 254.60g/mol

The molar mass of the gas is 254.60g/mol

3 0

3 years ago