MATHEMATICS COLLEGE

Write the partial fraction decomposition of the rational expression. Check your result algebraically.
$Write the partial fraction decomposition of the rational expression. Check - 1$

Answers

Answer 1

Answer:

Answer:

See below.

Step-by-step explanation:

First, distribute:

$=(1)/(x(x+1))$

Now, perform partial fraction decomposition. This is only two factors, so we only need linear functions:

$(1)/(x(x+1)) =(A)/(x)+(B)/(x+1)$

Now, multiply everything by x(x+1):

$1=A(x+1)+B(x)$

Now, solve for each variable. Let's let x=-1:

$1=A(-1+1)+B(-1)$

$1=0A-B=-B$

$B=-1$

Now, let's let x=0:

$1=A(0+1)+B(0)$

$A=1$

So:

$(1)/(x(x+1))=(1)/(x)-(1)/((x+1))$

Double Check:

$(1)/(x)-(1)/((x+1))=((x+1))/(x(x+1))-(x)/(x(x+1))$

$=(x-x+1)/(x(x+1)) =(1)/(x^2+x)$

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Jamie borrowed $361.75 from his uncle,who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.

Answers

He pays 370.28125.

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed = $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

Learn more about simple interest here:

brainly.com/question/25845758

#SPJ2

Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

7) In 2014, the attendance at Jefferson School's School Festival was 650. In 2015, the attendance was 575. What was the percent change in attendance from 214 to 2015? Round to the nearest tenth. * A 11% B 12% decrease C 13% D 14%

Answers

575/650 = 88% (round down)

100 - 88 = 12%

Letter B

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320 divide by 0.2

x = 1600

Answer:

Step-by-step explanation:

I think. hope this hepls

Bridget was thinking of a number. Bridget doubles it, then adds 15 to get an answer of 16.4. What was the original number?

Answers

Answer: 0.7

Step-by-step explanation:

16.4 - 15= 1.4

1.4 ÷ 2= 0.7

Hope this helps :)

0.7 is the correct number:)

Heather won 62 pieces of candy after bobbing apples at a Halloween party. She gave 4 pieces of candy to every student in her math class. She has six pieces of candy left. How many students are in Heather’s math class?

Answers

Answer:

Step-by-step explanation:

62-6=56

56 divided by 4 = 14

Therefore, the answer is 14.

Convert 100 inches per minute to feet per hour?

Answers

100 inches per minute
There are 60 minutes per hour so
100 inches per minute equals
6,000 inches per hour
there are 12 inches per foot so that converts to
500 feet per hour

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