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Alborosie
3 years ago
11

Solve the equation 3x-4=8-x

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

Answer:

x=3

Step-by-step explanation:

<em>3</em><em>x</em><em>-</em><em>4</em><em>=</em><em>8</em><em>-</em><em>x</em><em>(</em><em>Group</em><em> </em><em>like</em><em> </em><em>terms</em><em>)</em>

<em>3</em><em>x</em><em>+</em><em>x</em><em>=</em><em>8</em><em>+</em><em>4</em><em>(</em><em>Add</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

<em>4</em><em>x</em><em>=</em><em>1</em><em>2</em><em>(</em><em>After</em><em> </em><em>adding</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>proceed </em><em>to</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em><em>)</em>

<em>x</em><em>=</em><em>3</em><em>(</em><em>x</em><em> </em><em>is</em><em> </em><em>3</em><em> </em><em>because</em><em> </em><em>4</em><em> </em><em>can</em><em> </em><em>divide</em><em> </em><em>1</em><em>2</em><em> </em><em>3</em><em> </em><em>times</em><em> </em><em>that's</em><em> </em><em>why</em><em> </em><em>we</em><em> </em><em>have</em><em> </em><em>x</em><em> </em><em>as</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>3</em><em>)</em>

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The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B)  Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

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

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

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

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0
2 years ago
Enguun earns $17 per hour tutoring student-athletes at Brooklyn University.
Juliette [100K]

Answer:

a. Earnings of Enguun for 12 hours this month (G)

G = 204 dollars

b. Earnings of Enguun for  19.5 hours last month (G)

G = 331.5 dollars

Step-by-step explanation:

Nomenclature

G: Total earnings of Enguun in dollars

E: Enguun's earnings for 1 hour of tutoring (dollars/hour)

n: number of hours that Enguun tutored per month (hour/month)

Formula

G = E*n

E = $17 per hour = 17 dollars/hour

Problem development

a. Earnings of Enguun for 12 hours this month

n = 12 hours

G = E*n

G= 17\frac{dollars}{hour} * 12 hour  : We eliminate hours

G = 204 dollars

b. Earnings of Enguun for 19.5 hours last month

G = E*n

G = 17 * 19.5

G = 331.5 dollars

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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