Answer:
B - 8
Step-by-step explanation:
The answer is 8 because when determining the degree of any polynomial you find the sum of all the exponents that are attached to variables.
Since there's only one variable then you only have to take the number attached to the variable "x" which is 8.
Answer:
A
Step-by-step explanation:
the graph of 'x < 1' must have an open circle on the number 1 with shading to the left (to indicate all values less than one)
Answer:
(1) $11955.38
(2) $12228.62
(3) $12293.527
(4) $12326.6
Step-by-step explanation:
Compound interest is given by
A= P( 1 + r/n)^n*t
A= Final amount
P = initial amount = 6000
r = interest rate = 9% = 0.09
n = number of times interest applied per time period
t = number of time periods elapsed
(1) Compounded annually
n = 1 , t = 8
A = 6000( 1+ 0.09/1) ^1*8
A = 6000( 1.09) ^8 = $11955.38
(2) compounded quarterly
n = 4 , t = 8
A = 6000( 1+ 0.09/4) ^4*8
= 6000( 1.0225)^32 = $12228.62
(3) compounded monthly
n = 12 , t = 8
A = 6000( 1+0.09/12)^12*8 = $12293.527
(4) compounded continuously
A = P* e^rt
r = 0.09 , t = 8
= 6000* e^0.09*8
= 6000* e^0.72 = $12326.6
Answer:
y = 3x^2 + 12x + 8
Step-by-step explanation:
To rewrite in standard from by expanding the equation using the distributive property.
y= 3 (x+2)^2 - 4
y = 3(x^2 + 4x + 4) - 4
y = 3x^2 + 12x + 12 - 4
y = 3x^2 + 12x + 8
Piecewise functions have different definitions, depending on when you evaluate them.
Given an input x, your function returns:
- 2x if the input is negative
- 1 if the input lies between 0 (included) and 2 (excluded)
- the square root of x if the input is greater than 2 (included)
You want to know what f(0) is. In other words, you want to know what happens if we give 0 as input.
The piecewise definition tells us that, if the input is 0, the function outputs 1.
So, you have f(0) = 1.
