Answer:
volume = 450 mm³
Step-by-step explanation:
Given:
- height = 18 mm
- area of base = 25 mm²
Volume of a rectangular prism = area of base x height
⇒ volume = 25 x 18 = 450 mm³
Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula
Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.
= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula
Therefore the amount becomes $6964.53 after 3 years .
I thought this would be simple, as I'm familiar with algebra and not really "The constant of proportionality," but I will do my best.
So this said "Constant of proportionality," is referring to basically the answers for the equation when X equals certain numbers.
Make a table of different answers when you plug in X and you get the 'Constant of proportionality.'
y = 2.5x + 3
y = 2.5(1) + 3
y = 2.5 + 3
y = 5.5
Since we plugged in 1 for X and got 5.5 for Y, our input and output is (1, 5.5)
Replace X for a different value, and you will get a bunch of different numbers that will in essence be your function inputs and outputs. Make a table of these and you have your answer.
EXAMPLE -
-= x =- -= y =-
-= 1 =- -= 5.5 =-
-= 2 =- -= 8 =-
-= 3 =- -= 11.5 =-
-= 4 =- -= 13 =-
So there you have it. I hope this helps! If you have any further questions, don't hesitate to ask.
Answer:
Step-by-step explanation:
75x + -300 = 25x + 200
Reorder the terms:
-300 + 75x = 25x + 200
Reorder the terms:
-300 + 75x = 200 + 25x
Solving
-300 + 75x = 200 + 25x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25x' to each side of the equation.
-300 + 75x + -25x = 200 + 25x + -25x
Combine like terms: 75x + -25x = 50x
-300 + 50x = 200 + 25x + -25x
Combine like terms: 25x + -25x = 0
-300 + 50x = 200 + 0
-300 + 50x = 200
Add '300' to each side of the equation.
-300 + 300 + 50x = 200 + 300
Combine like terms: -300 + 300 = 0
0 + 50x = 200 + 300
50x = 200 + 300
Combine like terms: 200 + 300 = 500
50x = 500
Divide each side by '50'.
x = 10
Simplifying
x = 10
The answer to the equation is b
