Answer:
The approximate value of machine after 3 years = $12283
Step-by-step explanation:
Original cost of the copy machine = $20,000
Rate of depreciation each year = 15%
To, find cost of machine after 3 years.
Solution:
The depreciation equation can be given by:
where:
Final value
Original value
rate od depreciation in decimal form
time
Given values:
Using the values to find the value of machine after 3 years.
Thus, approximate value of machine after 3 years = $12283
The first step is to change the mixed number into an improper fraction.
1 7/10 = 17/10
(17/10) / (3/5) =
(17/10) * (5/3) = (change the division to a multiplication by the reciprocal.
17/6 = 2 5/6
Answer:
The correct option is;
Which is of the form of option C with 2 replaced by x and the characters formatted
Step-by-step explanation:
The given parameters are;
Jose's present batting average = 0.250
The number of times he was at bat = 160
The number of times he made a hit = 40
The batting average he wants to improve to = 0.333
If he makes a hit the next x times he was at bat is represented as if he makes a hit each time, for the next x time he was at bat. We have;
The number in times he makes a hit the next x times he was at bat = x
Therefore, we get;
New total number of hits Jose makes = 40 + x = x + 40
New total number of time Jose was at bat = 160 + x = x + 160
Therefore, given that Jose intends to improve his batting average to 0.333, and that the batting average is given by the relation;
To find x, we have;
Therefore, the correct option is most likely C. where the 2 is supposed to be x.
Answer:
19x = -38
x = -2
(-2,5)
Step-by-step explanation:
3(5x + 2y = 0)
2(2x - 3y = -19)
First step is to simplify the equations by using the distributive property.
3(5x + 2y = 0)
distribute the 3 by multiplying 3 by everything inside of the parenthesis
3 * 5x = 15x
3 * 2y = 6y
3 * 0 = 0
first equation simplified: 15x + 6y = 0
2(2x - 3y = -19)
distribute the 2 by multiplying 2 by everything inside of the parenthesis
2*2x = 4x
2 * -3y = -6y
2 * -19 = -38
second equation simplified: 4x - 6y = -38
We acquire the two equations
15x + 6y = 0
4x - 6y = -38
Notice how there are two 6ys, one is negative and the other is positive. When this happens we can add the two equations together and solve for x. We can do this because the two 6ys will cancel out and we will be left with one variable. when there is only 1 variable you can solve it.
So add the two equations
+ 15x + 6y = 0
4x - 6y = -38
--------------------
19x = -38
now solve for x
divide both sides by 19
19x/19 = -38/19
x = -2
Now we need to find the value of y.
To do so simply plug in the value of x into one of the equations and solve for y
4x - 6y = -38
x = -2
4(-2) - 6y = -38
multiply 4 and -2
-8 - 6y = -38
add 8 to both sides
-6y = -30
divide both sides by -6
y = 5
The solution to the system is (-2,5)