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3 years ago

Solve the equation 2/3x=-1/2x+5 what is the first step to isolate the variable term on one side of the equation

Mathematics

2 answers:

nekit [7.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

2/3x = - 1/2x + 5

2/3x + 1/2x = - 1/2x + 1/2x + 5

$1\frac{1}{6}x=5$

$\frac{1\frac{1}{6}x}{1\frac{1}{6} } =\frac{5}{1\frac{1}{6} }$

Komok [63]3 years ago

4 0

Answer:

x= 30/7

Step-by-step explanation:

See image below:)

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How do you work out the rate, time and principal from the compound interest formula?

wlad13 [49]

Answer:

Part 1) $P=A/(1+\frac{r}{n})^{nt}$ (see the explanation)

Part 2) $r=n[\frac{A}{P}^{1/(nt)}-1]$ (see the explanation)

Part 3) $t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$ (see the explanation)

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

$A=P(1+\frac{r}{n})^{nt}$

Divide both side by $(1+\frac{r}{n})^{nt}$

$P=A/(1+\frac{r}{n})^{nt}$

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Elevated both sides to 1/(nt)

$\frac{A}{P}^{1/(nt)} =(1+\frac{r}{n})$

subtract 1 both sides

$\frac{A}{P}^{1/(nt)}-1 =\frac{r}{n}$

Multiply by n both sides

$r=n[\frac{A}{P}^{1/(nt)}-1]$

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Apply log both sides

$log(\frac{A}{P})=log(1+\frac{r}{n})^{nt}$

Apply property of exponents

$log(\frac{A}{P})=(nt)log(1+\frac{r}{n})$

Divide both side by $(n)log(1+\frac{r}{n})$

$t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$

3 0

3 years ago

Suzanne bought a sweater at the sale price of $25. The original cost of the sweater was $40. What percent represents the discoun

stepan [7]

Answer:

D 62.5%

Have a good day!

5 0

3 years ago

Read 2 more answers

Which decimal number is represented by the shaded portion of the model?

Paul [167]

Answer should be 0.9 or .9

3 0

3 years ago

Can u help me plz and thank you

Alenkinab [10]

The number is 2 :) because you need common denominators therefore you multiply by 3 so that 4 becomes 14 therefore 3 times 2 is 6 and 11 menus 6 is 4 so you get 4/14

4 0

4 years ago

Graph.<br><br><br><br><br><br> y=–14x+5<br><br> MATH

worty [1.4K]

Pretty sure its this..

5 0

4 years ago