Multiply to get it in standard from, which gives you the y-intercept as the constant.
for x, factor it all the way down and set the factors equal to zero. the answers are the x-intercepts
Answer:
Below.
Step-by-step explanation:
7P4
= 7! / (7-4)!
= 7*6*5*4*3*2*1 / ( 3*2*1)
= 7*6*5*4
= 840.
12C5
= 12! / (12-5)! 5!
= 12*11*10*9*8*7*6*5*4*3*2*1 / ( 7*6*5*4*3*2*1 * 5*4*3*2*1)
= 12*11*10*9*8 / 5*4*3*2*1
= 792.
Answer:
x = 60
Step-by-step explanation:
The question is asking
$14,700 * (1 - 8%)^x = $100
$14,700 * (1 - 0.08)^x = $100
$14,700 * (0.92)^x = $100
(0.92)^x = $100/$14,700
log(0.92^x) = log($100/$14,700)
x * log(0.92) = log(0.0068027)
x = log(0.0068027)/log(0.92)
x = 59.85
Since this question is asking in terms of years, we always round up (in this case to 60), as it won't fully be worth $100 by the beginning of the 59th year.
Answer:
<em></em>
<em></em>
<em></em>
Step-by-step explanation:
Given
---x = 0, in 2012
-- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:

Where

rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:

Set x = 0

Set x = 5

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>
For option (d), we have:

Set x = 0

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
For option (e), we have:

Set x = 0
undefined
<em>This is false because the f(x) is not undefined at x = 0</em>
For option (f), we have:

Set x = 0

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
<em>From the computations above, only (c) </em>
<em> is true</em>