Answer:
x = 27
Step-by-step explanation:
Length = 6x
Width = 1/3(6x) = 2x
Height = 1/2(6x) = 3x
6x × 2x × 3x = 36
972/36x = 27
x = 27
The range is -infinity to infinity
Answer:
an equation of a line
Step-by-step explanation:
This is an equation of a line. Lets walk through it.
y=1/3x+2
This is to find out what the Y coordinate would be when X is plugged in. So, if x was 6, you would take 1/3 of 6 to get 2, and add 2. The y intercept would be 4, since y=1/3(6)+2, y=2+2, y=4
Y=1/3x+2
This is what the slope is. If the slope is negative (ie. -3/4) the greater the x intercept the lower the y will be. (so if I had x=4 for a slope of -3/4, that would be y=-3/4(4)+2, y=-3+2, y=-1) But if the slope is positive (ie. 1/3) the greater the x value the greater the y value as well. (see graph attached below for positive)
Y=1/3x+2
This is the Y intercept. (This is NOT the y coordinate. This is only the coordinate of y if x=0) This number tells you where the Y intercept is. If it adds, the y intercept is positive. If it subtracts, the y intercept is negative.
Sorry if these explainations dont make sense. But, here is the graph for y=1/3x+2
Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.
To compute the <span>25% income tax
</span>$42,000 x <span>25 / 100 = $10,500
</span><span>the least salary he can earn will be
</span>$42,000- <span>$10,500 =$31,500</span><span>
</span>