One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
Plugging this in for our points, we get
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
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The amount of money the person would have in 8 years s $2541.74.
<h3>How much would the person have in 8 years? </h3>
The formula for calculating future value is:
FV = P (1 + r)^nm]
Where:
FV = Future value
- P = Present value = $2000
- R = interest rate = 3% / 12 = 0.25%
- m = number of compounding = 12
- N = number of years = 8 years
Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74
To learn more about future value, please check: brainly.com/question/18760477
The answer is the same as the question. 1.75
Answer: ABC seem to be equilateral
so A=B=C=60
D=42
E=35
F=35
G=55
H=45
I=45
j=15
k=15
L=75
M=180
N=11
O=35
P=11
Q=55
R=55
S=32
T=32
U=69
Step-by-step explanation:
Answer:
option B (28/52)
Step-by-step explanation:
from probability
P(A∪B)=P(A)+P(B)-P(A∩B)
where
P(A∪B) = probability that event A or B happen
P(A∩B) = probability that event A and B happen simultaneously
P(A) = probability that event A happen
P(B) = probability that event B happen
the probability that the card is special or red
P( special or red)= P(special) + P(red) - P( special and red)
since
P(special)= 4/52
P(red) = 26/52
P( special and red) = 2/52
therefore
P( special or red)= 4/52 + 26/52 - 2/52 = 28/52
P( special or red)= 28/52
(option B)
