Answer:
c
Step-by-step explanation:
The answers For A,B,C.
A.2
B.2.25
C.1
Answer: k=9/4
Step-by-step explanation: We can do this by finding a number that adds up to 3 when multiplied by 2. The best way to do this is to use ((b^2)/4) which can usually find you the number for a perfect square based on b, which we have. So, 3^2 / 4 =9/4, meaning k=9/4. We can check:
>x^2 +3x +9/4
> (x+3/2)(x+3/2)
Perfect square.
Answer: Present value = $7200
Step-by-step explanation: Given Principal that is the original amount is $6000
Rate is 10% every fourth year
But the total period is eight.
So the interest would be paid 8/4 = 2 times.
Therefore,
Simple interest
= {principal * rate * no of times}/100
= {$6000*10*2}/100
Simple interest = $1200
Present value
= principal + Simple interest
= $6000 + $1200
= $7200.
Answer:
KF = 35
Step-by-step explanation:
Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.
(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)
SF = SK + KF
Let's put in the values we got.
5x + 2 = 27 + (3x -1)
Opening the parenthesis.
5x + 2 = 27 + 3x - 1
5x + 2 = 26 + 3x
Now let's subtract 3x from both sides.
2x + 2 = 26
Now, subtract 2 from both sides.
2x = 24
If we divide by 2...
x = 12
We know that...
KF = 3x -1
Since x is 12, let's put that in.
KF = 3 * 12 - 1 = 36 - 1 = 35
Answer: KF is 35 !
