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2 years ago

|x - 12| = 4 please provide an explanation

Mathematics

1 answer:

geniusboy [140]2 years ago

4 0

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

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if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val

Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

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Hence, the investment amount after 10 years is $8,240.

5 0

3 years ago

16+4(c-5)=220 what is c

djyliett [7]

Answer:

c=205

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help ASAP 40 pts

natali 33 [55]

Answer:

x=2

Step-by-step explanation:

We know AC = BC since this is an isosceles triangle

6 = 2x+2

Subtract 2 from each side

6-2 =2x+2-2

4 =2x

Divide each side by 2

4/2 =2x/2

2=x

4 0

3 years ago

Read 2 more answers

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money th

Bezzdna [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

$\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}$

In question (1):

$Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 600 + 240 \\\\= 840$

In question (2):

$Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6$

In point a:

$\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75$

In point b:

$\to amount = principle \ +\ simple \ interest$

$= 12,450 + 5,415.75 \\\\= 17,865.75$

The 3 question is incomplete, that's why it can't be solved.

7 0

3 years ago

A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacem

luda_lava [24]

Answer:

first one is yellow

Step-by-step explanation:

7 0

2 years ago