Answer:
40 or 39
Step-by-step explanation:
Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
The fuel economy of the vehicle at 65 mph can be determined using the given equation. The fuel economy, y, can be solved by substituting the car's speed, x, to 65. Doing this, will result to y = 36.5988. Thus, the correct answer among the choices is that the fuel economy of the vehicle at 65 mph is about 37 mpg.
<u>Answer-</u>
<em>You need to deposit $337.62 each month, to reach this goal.</em>
<u>Solution-</u>
We know that,
![\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3DP%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
Where,
P = periodic payment
r = rate per period
n = number of period
Here,
Putting the values,
![\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]](https://tex.z-dn.net/?f=%5CRightarrow%202500000%3DP%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D)
![\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cfrac%7B2500000%7D%7B%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D%7D)
9 is 25% of 36. That is the correct answer.
