Answer:
a=1/2
Step-by-step explanation:
first we need to isolate a squared. so we add 1/4 to both sides
then you take the square root of a square to get 1/2
to check, 1/2 * 1/2 = 1/4
1/4-1/4 = 0
Answer:
Approximately 22.97 years
Step-by-step explanation:
Use the equation for continuously compounded interest, which uses the exponential base "e":

Where P is the principal (initial amount of the deposit - unknown in our case)
A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)
k is the interest rate : 5% which translates into 0.05
and t is the time in the savings account to triple its value (what we need to find)
The formula becomes:

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:



Answer:
8 to 25
Step-by-step explanation:
The total number of lunches sold i
220+120+160 =500
We want the ratio of salads to total lunches
salads: lunches
160: 500
Divide each side by 20
160/20 : 500/20
8:25
Look at the first line: y = (3/5)x - 3. What happens if you multiply each term by 5, to eliminate the fraction?
5y = 3x - 3
Compare this to the second equation,
5y - 3x = -10, or 5y = 3x - 10.
The coefficients of x and y (as 3 and 5 here) determine the slope of a straight line. Since 5y = 3x is present in both equations, the two lines MUST be parallel.
y = 4
4y = 6 => y = 6/4
y+4 and y =3/2 are both horizontal lines. Since they are horiz., they are parallel.
18 ? am not really sure tho its kinda difficult lol