5p-9=2p+12
5p-2p=12+9
3p=21
p=21/3
p=7
The answer is d. -14 + (-6)
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer:
The amount after 4 years = $ 16198.87
Step-by-step explanation:
Points to remember
Compound interest
A = P[1 + R/n]^nt
Were A - Amount
P - Principle
R - Rate of interest
t - Number of years
n - Number of times compounded
<u>To find the amount</u>
Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times
A = P[1 + R/n]^nt
= 11800[1 + 0.08/4]^(4 * 4)
= 16198.87
Therefore amount after 4 years = $ 16198.87
