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2 years ago

Solve the following linear equation: 3(2x + 12) = 2(2x - 10)

2 answers:

7 0

Hey! I decided to write it for you.
Step 1: Distribute
Step 2: Move the x to one side by simplifying
Step 3: Take a way 36 from both sides
Step 4: Divide and simplify

Pachacha [2.7K]2 years ago

3 0

Answer: x = -28

Step-by-Step Explanation:

3(2x + 12) = 2(2x - 10)
3 * 2x + 3 * 12 = 2 * 2x - 2 * 10
6x + 36 = 2 * 2x - 2 * 10
6x + 36 = 4x - 20
6x - 4x + 36 = -20
2x + 36 = -20
2x = -20 - 36
2x = -56
x = -56/2
=> x = -28

Therefore, x = -28

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Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving

Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

$A=P(1+r)^t$

where

$A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5$

Substituting the available values into the formula and solving

$A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63$

The interest Molly will earn after 5 years is

$A-P=\$127.63-\$100=\$27.63$

Therefore, the amount of interest Molly will earn after 5 years on a deposit of $\$100$ compounded annually over 5 years is $\$27.63$

Learn more about compound interest here: brainly.com/question/21270833

8 0

2 years ago

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality ____ < √134

puteri [66]

$11 < \sqrt{134} < 12\\\\because\\\\11^2=121 < (\sqrt{134})^2=134 < 12^2=144$

7 0

3 years ago

Read 2 more answers

Put the numbers in order from least to greatest. ITEM BANK: Move to Bottom 0.00025 0.025 0.025 x 10 0.5 x 10-5 1.25 x 10-1 1.45

LuckyWell [14K]

Answer:

Least to Greatest:

0.5*10^-5, 0.00025, 3.5 x 10^-4, 1.45 x 10^-3, 25.4 x 10^-4, 0.025, 0.025 x 10, 1.25 x 10^-1

4 0

2 years ago

Which is the graph of y-3=-2/3(x+6)

irina [24]

Answer: it's the first option.

Step-by-step explanation: i just graphed it out, and it showed as the y-intercept was -1.5, and the x-intercept was -1.

5 0

2 years ago

A small theater sold 72 tickets for a

Mariulka [41]

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

4 0

3 years ago