2x² + 5x = -2
or, 2x²+5x+2=0
or,2x²+4x+x+2=0
or,2x(x+2)+1(x+2)=0
or,(x+2)(2x+2)=0
Two values can be found:
(x+2)=0 (2x+1)=0
or,x= - 2 or,2x= -1
or, x= -1/2
1 .. slope = 1/2 or 0.5 ... y intercept = -3
2. slope = -3 y intercept= 2
Answer:
Step-by-step explanation:
We want to convert the interval [-1, ∞) to inequality notation using <em>x</em> as the variable.
The interval [-1, ∞) reads: "All real numbers between -1 and positive infinity."
In other words, it is all numbers greater than or equal to -1 and less than positive infinity.
Therefore:
Note that we do not use "or equal to" for the infinity as we can never really "equal" infinity.
Answer:
After 12 years the investment will be worth $5145.
Step-by-step explanation:
The formula used for compounded interest is:
A = P(1+r/n)^nt
where,
A = future value
P = Principal Amount
r = interest rate
n = no of times interest is compounded
t = time
In the question given:
A=?
P = $2100
r = 7.75% or 0.0775
n = 1
t= 12
A= 2100*(1+0.0775/1)^1*12
A= 2100 *(1+0.0775)^12
A= 2100 *(1.0775)^12
A= 2100 * 2.45
A= 5145
So, after 12 years the investment will be worth $5145.
