False because if it’s a positive number then the opposite is gonna be a negative
(r,theta) represents polar coordinate .
And in (r,theta), there is neither any restriction on r nor on theta. It means both r and theta can either be positive or negative .
For e.g. (2,30 degree), (2,-30 degree) both are correct .
So the given statement is true .
Answer: he will have $12720 after 15 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $8000
r = 3.1% = 3.1/100 = 0.031
n = 12 because it was compounded 12 times in a year.
t = 15 years
Therefore,
A = 8000(1 + 0.031/12)^12 × 15
A = 8000(1 + 0.00258)^180
A = 8000(1.00258)^180
A = $12720
Answer:
z=-8 and z=8
Step-by-step explanation:
A rational expression is undefined when its denominator is equal to zero, so our expression is undefined when 
. Solving for z, we get
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
