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MrRa [10]
3 years ago
10

A laptop computer is purchased for $2450. After each year, the resale value decreases by 30%. What will the resale value be afte

r 3 years? Use the calculator provided and found your answer to the nearest dollar.
Mathematics
2 answers:
Sedbober [7]3 years ago
6 0

Answer: $840.35

Step-by-step explanation:

You multiply 2,450 by 0.7 then multiply the answer by 0.7 and multiply that answer by 0.7 as well.

postnew [5]3 years ago
5 0

Answer:

$840

Step-by-step explanation:

This is an example of a compound percentage change.

To work this out you should multiply $2450 by 0.70 to the power of 3.

You would multiply by 0.70 as you are decreasing the amount by 30%. And so by multiplying the amount by 0.70 you are decreasing it by 30% and by doing it to the power of 3 you are decreasing it 3 times.

2450*0.70^{3} =840.35

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Jonah found that the equation -2|8-6|-6=-12
svetoff [14.1K]

Answer:

False equation:   -2|8 - 6| - 6 = -10

Step-by-step explanation:

-2|8 - 6| - 6 = -12                True or false?

-2 | 2| - 6 = -12                    Substract 8 - 6 = 2

-2 × 2 - 6 = -12                    |2| = 2  absolute value of 2 is 2

- 4 - 6 = -12                         -2 × 2 = -4 ( negative times positive = negative)

 -10 = -12                            False

7 0
3 years ago
Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1
Salsk061 [2.6K]

Answer:

x  =  7

y  =  3

z (max)  =  4950/3  =  1650

Step-by-step explanation:

Let call  

x numbers of church goup and

y numbers of Union Local

Then  

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20  

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z           x          y          s₁           s₂          Cte

1        -150    -200       0            0     =      0

0          2         2           1            0     =    20

0          1          3          0            1      =     16

First iteration:

Column pivot   ( y column ) row pivot (third row) pivot 3

Second table

z           x                y          s₁           s₂                Cte

1       -250/3           0          0         200/3    =    3200/3

0      - 4/3               0          -1           2/3       =    -20/3

0         1/3               1            0           1/3       =    -20/3

Second iteration:

Column pivot  ( x column ) row pivot  (second row)  pivot  -4/3

Third table

z           x                y          s₁           s₂                Cte

1            0               0      750/12    700/6    =   4950/3

0            1                0        3/4          -1/2     =    7

0            0                1         -1/4          1/2     =  9/3

5 0
3 years ago
What is the variable equal to? 6 • x = 24
mario62 [17]

Answer:

x=4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the Pythagorean theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle
Masteriza [31]

Answer: 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

Step-by-step explanation:

In order for the measures of the legs and hypotenuse given to form a right angle triangle, they must be Pythagorean triples. A Pythagoras triple is a set of numbers that perfectly satisfy the Pythagorean theorem. The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side². We will apply the theorem to each set of numbers given.

1) 3, 4, 5

5² = 3² + 4² = 9 + 16

25 = 25

It is a Pythagorean triple

2) 4, 11, 14

14² = 11² + 4² = 121 + 16

196 = 137

It is a Pythagorean triple

3) 9, 14, 17

17² = 14² + 9² = 196 + 81

289 = 277

It is not a Pythagorean triple

4) 8, 14, 16

16² = 14² + 8² = 196 + 64

256 = 260

It is not a Pythagorean triple

5) 8, 15 , 17

17² = 15² + 8²

289 = 225 + 64

289 = 289

It is a Pythagorean triple

Therefore, 3, 4,5 and 17, 15,8

give the measures of the legs and hypotenuse of a right triangle.

8 0
4 years ago
Help with this question
Sholpan [36]

With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

4 0
3 years ago
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