Answer:
Step-by-step explanation:
I dont quite understand the problem but this is one way to solve it using completing the square:-
2x^2 + 8x - 12 = 0
2(x^2 + 4x) - 12 = 0
2((x + 2)^2 - 4) = 12
2(x + 2)^2 - 8 + 8 = 12 + 8
2(x + 2)^2 = 20
1 is wrong there are two numbers greater than 4 but less than or equal to 6.
the first one was correct
Answer:
Step-by-step explanation:
We know that probability for any event =
Given : Charlotte has 6 cherry candies, 3 grape candies, and 3 lime candies.
I..e Total pieces of candies she has = 6+3+3= 12
Now , If Charlotte randomly pulls one piece of candy out of the bag, what is the probability that it will be cherry is given by :-
Hence, the probability that it will be cherry is .
Answer:14
Step-by-step explanation:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,
A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.