Hi. I begin by finding the positive factors of 14. They are: 1 x 14 and 2 x 7. None of those can be added to yield a negative number, so let's now instead consider their negatives: -1 x -14 and -2 x -7. Does either of these pairs, when added, yield -9? Yes: -2 and -7.
To be clear: -2 x -7 = 14; and -2 + -7 = -9.
So the answer is -2 and -7.
Answer:
D
Step-by-step explanation:
Here, we want to select which of the options explains the scenario in the question.
Firstly, 1,000 shares were purchased at $10 per share.
Mathematically the total amount of shares bought will be 10 * 1000 = $10,000
Also, we have the growth rate as 12.5% = 12.5/100 = 0.125
Thus, representing the scenario with a function, we have;
A(t) = 10,000 e0.125t
Answer:
Step-by-step explanation:
Use the Pythagorean Theorem to find the zeros of 6x² - 9x - 6.
x = [9±√(9²-4(6)(-6))]/[2(6)] = [9±√225]/12 = [9±15]/12 = 2, -½
Answer:
20.5 years
Step-by-step explanation:
The population is given by the exponential function ...
p = 16000·(1 +0.022)^t
When p = 25000, we can find the value of t by taking logarithms.
log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log
t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t
It will take about 20.5 years for the population to reach 25000.
