Answer: The chance both cards will be a spade is .
Step-by-step explanation:
We know that , in a standard deck , the total number of cards = 52
The number of spades = 13
If a person selected 2 cards,
The total number of combination of selecting 2 cards out of 52 =
The number of combination of selecting 2 spade cards out of 13 =
Then , the probability that both cards will be a spade=
Hence, the chance both cards will be a spade is .
Mathew should invest $10,104.37.
A = $15,000 future value
A = P(1 + r/4)^n
P = A/((1 + r/4)^n)
P = 15000/((1 + 0.10/4)^16)
P = $10,104.37
Check the picture below
so.. .if we use those 2 points, from the "best fit line"
So this is using slope-intercept form (y=mx+b)
m is slope and b is the y-intercept
Looking at the graph, the line goes through the y-axis at (0,-5) so -5 is your y-intercept.
The slope of the line can be determine by using "rise over run". Find two points on the graph (I used 0,-5 and 1, -2). Count up from -5 to -2 (you get 3), count over from 0 to 1 (you get 1). Rise over run means that the slope equals 3.
Now, you just have to plug the numbers in.
Slope = 3; y-intercept = -5
y = 3x -5
The answer is A.) Y= 3x - 5
Hope this helps. Lmk if you need any more help :)
Answer:
Customer have to drive for 100 miles for the cost to be $140.
Step-by-step explanation:
Here, the cost of rest function is given as:
C = 120+.20 m
From above function, we can see that :
m = Number of miles traveled by the rent car
(1) The fixed rental charge of renting a car = $120
(2) The per mile rent of the car = $0.20
Now, C = $140
⇒140 = 120+.20 m
or 140 - 120 = 0.20 m
or, 0.20 m = 20
⇒ m = 20/0.20 = 100
or, m = 100
Hence, customer have to drive for 100 miles for the cost to be $140.