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olga2289 [7]
2 years ago
12

What is the answer to -2/3 ÷ (-1/6) in simplest form ?

Mathematics
2 answers:
love history [14]2 years ago
8 0

Answer: 4

Step-by-step explanation:

=( −2 /3)( −1 /6)

=( −2 /3 )( 6 /−1 )

= (−2)(6)/ (3)(−1)

= −12 /−3

=4

Tatiana [17]2 years ago
5 0

Answer:

4

Step-by-step explanation:

<em>Since you can't divide a fraction by another fraction, you start by flipping the second fraction (-1/6 becomes -6/1) and changing the division sign to multiplication.</em>

-2/3 x -6/1

<em>Multiply across, numerator with numerator and denominator with denominator.</em> <em>Also, when multiplying or dividing negative numbers, two negatives make a positive (i.e. -2 x -6 = +12)</em>

-2/3 x -6/1 = 12/3

12/3 = 4

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There are 50 teens in a work program. The circle graph shows the percentage of workers who have 0, 1, 2, 3, and 4 siblings.
Lostsunrise [7]
So there are 50 teens total
16% have no sibblings

so we must find 16% of 50
16%=16/100=0.16

'of' can be translated as multiply so
0.16 times 50=8
there were 8 teens who have no sibblings
4 0
3 years ago
Read 2 more answers
Find the future value and interest earned if $8704.56 is invested for 8 years at 4% compounded (a) semiannually and (b) continuo
Sliva [168]

a) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded 2 times per year over 8 years is <u>$11,949.50</u>.

b) The future value, principal plus interest, with compound interest on a principal of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

<h3>How is the future value determined?</h3>

The future value can be determined using an online finance calculator.

Data and Calculations:

<h3>a) Compounded Semiannually:</h3>

Principal (P): $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Semi-Annually

Time (t in years): 8 years

<u>Result</u>:

A = $11,949.50

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,244.94

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 8,704.56(1 + 0.04/2)(2)(8)

A = 8,704.56(1 + 0.02)(16)

A = $11,949.50

<h3>b) Compounded Continuously:</h3>

Using the formula A = Pert

Principal (P):  $8,704.56

Annual Rate (R): 4%

Compound (n): Compounding Continuously

Time (t in years):   8 years

<u>Result</u>:

A = $11,987.29

A = P + I where

P (principal) = $8,704.56

I (interest) = $3,282.73

<h3>Calculation Steps:</h3>

First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A, using the mathematical constant, e = 2.71828

A = Pert

A = 8,704.56(2.71828)(0.04)(8)

A = $11,987.29

Thus, while the future value of $8,704.56 at a rate of 4% per year compounded semiannually over 8 years is <u>$11,949.50</u>,  the future value of $8,704.56 at a rate of 4% per year compounded continuously over 8 years is <u>$11,987.29</u>.

Learn more about compounding interest at brainly.com/question/24274034

#SPJ1

8 0
1 year ago
Need some help with the question
Artist 52 [7]

i’m doing big ideas too smh. you will keep change flip. and change them to an improper fraction.

so improper fraction times (flipped) other fraction

6 0
3 years ago
Read 2 more answers
Find the value of each variable and the measure of each angle.
ANTONII [103]

Answer:

x = 14

Step-by-step explanation:

The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.

x+12 = 3x-16

On both sides, subtract 3x and subtract 12 to get this.

-2x = -28

Divide by -2.

x = 14

5 0
3 years ago
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6 sided die was rolled 9 times what is the mode of these rolls 4 5 1 2 4 3 6 2 4
mamaluj [8]
The mode is 4 because it is the number that shows up the most.

3 0
3 years ago
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