Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
<h3>
Answer: 270.58 dollars</h3>
======================================================
Work Shown:
- A = account value after t years
- P = principal or amount deposited = 800
- r = interest rate in decimal form = 0.06
- n = number of times we compound per year = 1
- t = number of years = 5
So,
A = P*(1+r/n)^(n*t)
A = 800*(1+0.06/1)^(1*5)
A = 1070.58046208
A = 1070.58
After five years, the account will have $1,070.58 in it.
The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.
0 because 0 times anything is 0
Answer:
x=13
Step-by-step explanation:
Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.
So, (5x-11) x (2x+20) x (11x-63) = 180.
Now, take away the parenthesis and add up all the like terms.
This should = 18x-54 = 180.
Now solve like you regularly would. Add 54 on both sides which equals,
18x=234. Now, divide 18 on both sides.
x = 13.
Hope this helps.
