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mel-nik [20]
3 years ago
13

If you work 8 hours, you earn $84. How much will you earn in 40 hours?

Mathematics
2 answers:
Klio2033 [76]3 years ago
8 0
40 x ( $84 / 8 ) = ( 40 / 8) x $84 = 5 x $84 = $420
pav-90 [236]3 years ago
7 0
You would do 40 divided by 8 is 5

so you would do 5 times 84 which is 420$

SO UR ANSWER IS $420  DOLLARS IN 40 HOURS
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An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional
Dmitry [639]

Answer:

D) $2693.12

Step-by-step explanation:

The account balance is multiplied by 1.09 each year, so at the end of 5 years, it has been multiplied by 1.53862395....

After subtracting the initial deposit amount, the remainder is the interest earned:

... $5000×(1.53862395 -1) = $5000×0.53862395 ≈ $2693.12

7 0
3 years ago
Read 2 more answers
8 /3 c - 2 = 2/3 c - 12 these is so hard<br><br>Solve for c. ?
cluponka [151]

Step-by-step explanation:

8 /3 c - 2 = 2/3 c - 12

Put all the one u want to solve to one side

8 /3 c - 2 = 2/3 c - 12

8/3c - 2/3c = 2-12

6/3c = - 10

Now multiply 3c to both sides

6 = - 30c

c = 6/ - 30

= 1 / - 5

= 1

- - - - - - -

5

8 0
2 years ago
Read 2 more answers
) An amphibious vehicle requires 5 minutes to travel each mile over land, but only 4 minutes to travel each mile in the water. T
tangare [24]

Answer:

x = 0.63 miles

y = 3.10 miles

Step-by-step explanation: See Annex

Vehicle capacities.

In land 1 mile in 5 minutes    then   1/5 mile in 1 minute

In water 1 mile in 4 minutes   then  1/4 mile in 1 minute

Let call x the number of miles in water and y the number of miles in land

Then the route will be x (miles in water ) and y miles in land

From Annex

L = 1/4*x + 1/5*y

From Figure (Annex) y = √( 3 - x )² + ( 2)² Pithagoream theorem

y = √ 9 + x² -6*x + 4 ⇒ y = √ x² - 6*x + 13  

Then

L(x) = 1/4x + 1/5√ x² - 6*x + 13  

Taking derivatives on both sides of the equation:

L´(x) = 1/4 + 1/5* 1/2 (2*x -6) / √ x² - 6*x + 13  

L´(x) = 0 ⇒ 1/4 + 1/5* 1/2 (2*x -6) / √ x² - 6*x + 13 = 0

[1/4* √( x² - 6*x + 13) + 1/5* (x -3) ] /√ x² - 6*x + 13 = 0  

1/4* √( x² - 6*x + 13) + 1/5*x - 3/15 = 0      ⇒ 1/4* √( x² - 6*x + 13)  = 1/5  ( x -3)

1/4* √( x² - 6*x + 13) = 1/5*x  - 1/5      

Squaring both sides

1/16* (x² - 6*x + 13) = 1/25 (x - 3 )²   ⇒   x²/16  - 6/16 *x + 13/16 = 1/25 ( x² + 9 - 6*x

25 (x² - 6*x + 13)  = 16 ( x² + 9 -6*x)

25*x² - 150*x +  325  =  16x² + 144 - 96*x

9*x² - 294*x + 181 =  0

x₁,₂  =  294 ± √ (86436 -  6516) / 18

x₁   =  294 +  282,7 / 18      we dismiss that solution si not feasible with problem statemente

x₂ = 294 - 282,7 / 18

x₂ = 11.3/ 18

x₂ =  0.63 miles      and  y =  √ x² - 6*x + 13     ⇒    y  = 3.10 miles

8 0
3 years ago
What is the factorize of 20
netineya [11]
The factorize pf 20 is 10
4 0
2 years ago
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A rectangular yard measuring 36 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t
Y_Kistochka [10]

Answer:

664 ft²

Step-by-step explanation:

The rectangular yard has dimensions 36 ft by 55 ft.

The area of the yard is 36 ft × 55 ft = 1980 ft²

The walkway inside the fence is 4 ft wide. The area inside the walkway has dimensions

36 ft - 2 × 4 ft = 28 ft

55 ft - 2 × 4 ft = 47 ft

The area of the rectangle inside the walkway is 28 ft × 47 ft = 1316 ft²

The area of the walkway is the difference between the total area enclosed by the fence and the rectangle inside the walkway.

area of walkway = 1980 ft² - 1316 ft² = 664 ft²

3 0
2 years ago
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