So, hmmm keeping in mind that, an absolute value expression is in effect a piece-wise function, let's find its "slopes", the negarive slope on the left-side and the positive slope on the right side, and let's use the vertex point as our first point
what is the slope of a line that passes through (2, -1) and (0,7)
now, what is the slope of a line that passes through (2, -1) and (4,7)
since an absolute value expression is just a piece-wise with a +/- versions, then we can just combine those two.
Answer:
$10,000 invested in CD
$18,000 invested in money market
Step-by-step explanation:
<u>Complete Question:</u>
<em>Jorge invested $28,000 into two accounts. The amount he put in his money market account was $2,000 less than twice what he put into a CD. How much did he invest in each account?</em>
Let money put in CD be x
So
Money put in money market will be 2x - 2000
Alltogether, that is 28,000. Thus, we can write:
x + (2x-2000) = 28,000
Solving, we get:
x + (2x-2000) = 28,000
x + 2x - 2000 = 28,000
3x = 30,000
x = 30,000/3 = 10,000
$10,000 invested in CD
We know 2x - 2000 invested in money market, so:
2(10,000) - 2000 = $18,000 invested in money market
Answer:
45.12%
Step-by-step explanation:
We have that l = 50
The probability density function of the exponential distribution is:
(1 / l) * e ^ (x * 1 / l) l> 0
f (X = x) = 0 otherwise
in this case X would come being the probability the road in 30 minutes or less to pick-up the children to go to school, it would come being:
P (X <= 30) = integral from 0 to 30 [1/50 e ^ (x / 50) dx]
It is integral as a result:
P (X <= 30) = (1/50) [e ^ (- x / 50) / (-1/50)]
We evaluate x = 0 up to x = 30
P (X <= 30) = (1/50) [e ^ (- 30/50) / (-1/50)] - (1/50) [e ^ (- 0/50) / (-1 / fifty)]
P (X <= 30) = -0.5488 - (-1)
P (X <= 30) = 0.4512
Therefore the probability is 45.12%
Answer:
325 miles. If one inch is 65 miles and the two locations are 5 inches apart, 65 x 5 is 325.
Fun fact: Minneapolis to St. Cloud in reality is only 70 miles. ;)