Answer:
x = 8, y = 3
Step-by-step explanation:
3x - 12y = 60
x + 2y = 14
3x - 12y = 60
3x + 6y = 42 (multiply by 3 so the x is the same as the top equation)
6y = 18 (subtract the equations)
y = 18 / 6
= 3
To find x, substitute y into the 2nd equation since it is the simplest so:
x + 2(3) = 14
x + 6 = 14
x = 14 - 6
= 8
Answer:
The input in this equation is c(v), and the output is 125v. For example, if you input 2 into c(v) and get c(2), you will get 125(2) = 250 for two visits.
Answer:
x=9
Step-by-step explanation:
Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
Since both numbers are divisible by 2, we can divide each number by 2
14/2=7
30/2=15
So the answer is 7/15
