This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.
Answer:
I guess it will be (D) 4/3=$4.41/x
You find f(5) the same way you evaluate any function. Put the number where the variable is and do the arithmetic.
When high powers are involved, it can simplify the arithmetic a little to do some factoring:
.. f(x) = (-3x^2 +7)*x^2 -2
.. f(5) = (-3*25 +7)*25 -2 = -68*25 -2
.. f(5) = -1702
Answer:
Step-by-step explanation:
From the coordinate geometry, equation of line that passes through two coordinates will be
y-y1 ={(y2-y1)/x2-x1)}(x-x2) where x1=3,y1= -2, x2 =6, y2 = 3. therefore substitute for the values
y-(-2) ={ 3-(-2)/6-3} x (x-6)
y+2 = 3+2/3 x (x-6)
y+2 =5/3(x-6) multiply both side by 3,
3(y+2) = 5(x-6)
3y+6 =5x-30
3y = 5x -30 -6
3y = 5x - 36. Therefore the equation of the line is
3y = 5x - 36.
Answer:
<u>The probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go is 51%.</u>
Step-by-step explanation:
1. Let's check the information provided to us to answer the question correctly:
Probability that Jack's dad gives him permission to go to the movies tonight = 85% = 0.85
Probability that Jack will be able to go to the movies and drive his car there alone= 60% = 0.60
2. What is the probability that he will be able to drive to the movies alone given that his dad gives him permission to go?
For answering the question we will use the following formula for dependent events, given that Jack's father gave him permission to go:
Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = Probability that Jack's dad gives him permission to go to the movies tonight * Probability that Jack will be able to go to the movies and drive his car there alone
Replacing with the real values, we have:
Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = 85% * 60%
Probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go = 0.85 * 0.60 = 0.51
<u>The probability that Jack will be able to drive to the movies alone given that his dad gives him permission to go is 51%.</u>
