The first step is to quickly factor each of the five equations... to do so, find the right factors of the 3rd given number so that they add up in an equal number to the second number... 14 = -7 • -2 and -9 = -7 + -2
a^2 - 9a + 14 = 0
(a - 7) (a - 2)
a - 7 = 0, a = 7
a - 2 = 0, a = 2
{2,7}
a^2 + 9a + 14 = 0
(a + 7) (a + 2)
a + 7 = 0, a = -7
a + 2 = 0, a = -2
{-2, -7}
a^2 + 3a - 10 = 0
(a + 5) (a - 2)
a + 5 = 0, a = -5
a - 2 = 0, a = 2
{-5, 2}
a^2 - 5a - 14 = 0
(a - 7) (a + 2)
a - 7 = 0, a = 7
a + 2 = 0, a = -2
{-2, 7}
Answer:
Part 1) The exponential function is 
Part 2) 
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula
where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have
substitute
Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function
Answer 8:3 let me know if it correct
AND SOMEONE PLEASE HELP MEEE
<h3>
Answer: 3/76</h3>
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Explanation:
There are 5 green marbles.
There are 3+5+7+1+4 = 20 marbles total.
The fraction 5/20 = 1/4 represents the probability of picking green.
After that marble is selected, it is not put back (i.e. "no replacement").
This means we now have 20-1 = 19 marbles left.
The probability of getting red on the second selection is 3/19 because we have 3 red out of 19 leftover.
The last step is to multiply the fractions mentioned:
(1/4)*(3/19) = (1*3)/(4*19) = 3/76
Based on the required rate of return, the real risk free rate, and the inflation premium, the default risk premium on the corporate bonds is 1.2%
<h3>How is the default risk premium found?</h3>
The default risk premium can be found as:
=real risk free rate + Inflation premium + default risk premium + liquidity premium + maturity risk premium
Solving gives:
= 0.07 - 0.0275 - 0.0205 - (0.1 x (t - 1)%)
= 0.07 - 0.0275 - 0.0205 - (0.1 x (5 years - 1)%)
= 1.2%
The default risk premium refers to the return that the bond is offering over what a risk-free bond would offer.
This means that the corporate bond described is offering 1.2% more than what a risk-free government bond would offer.
Find out more on default risk premium at brainly.com/question/8873408
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