Answer:
(Choice B)
(Choice C)
Step-by-step explanation:
- A- 18/5 ≠ 10/3
- B - 20/6 = 10/3 ⇒ correct
- C- 30/9 = 10/3 ⇒ correct
- D- 40/10 ≠ 10/3
- E- 60/16 ≠ 10/3
Answer:
<u>(3); (-1/2); (-4)</u>
Step-by-step explanation:
First, you should convert the equation into cubic form.
r(x)=(x^2+x−12)(2x+1)
<u>2x^3 +3
x^2
− 23x− 12=0</u>
Next, use the rational roots test to find the first root.
<u>(-1/2) </u>
Using the factor theorem you can find the other roots.
<u>(3)</u> <u>(-4)</u>
Mario Cart
What about you?
Answer:
t = 24
Step-by-step explanation:
Given that t varies inversely with a then the equation relating them is
t = ← k is the constant of variation
To find k use the condition t = 2 when a = 36, that is
2 = ( multiply both sides by 36 )
72 = k
t = ← equation of variation
Given a = 3, then
t = = 24
In order to determine the money you have to invest now to obtain $100,000 after 18 years, use the following formula:
where,
P: principal = ?
A: amount after t years = 100,000
r: APR in decimal form = 0.11 (11%)
n: times of the compounded interest at year = 4 (quarterly)
t: time = 18 (years)
Solve the equation above for P, replace the values of the other parameters and simplify:
Hence, you need to invest approimately $14,181.04 to obtain $100,000 after 18 years.