First you need to know how many prime numbers are from 1 to 12.
Prime numbers: 2, 3, 5, 7, 11. There are 5 prime numbers.
The probability of getting a prime number would be 5/12.
Vowels from A to J would be A, E, I, so 3 vowels.
The probability of picking a vowel would be 3/10.
The probability of picking both would be 5/12 x 3/10 = 15 /120, which reduces to 1/8.
The answer is B.
Given parameters:
Principal = £1300
Interest rate = 5%
Duration = 2yrs
Unknown:
Total amount of Dan's principal = ?
To solve this problem, we apply the equation below:
Total investment worth = Principal + interest
Interest = 
where P is the principal
R is the rate
T is the time
Now, input the parameters;
Total investment worth = £1300 + £ 
= £1300 + £130
= £1430
The amount after two years is £1430
Answer:
Step-by-step explanation:
We want an exponential function that goes through the two points (0, 8) and (2, 200).
Since a point is (0, 8), this means that y = 8 when x = 0. Therefore:
Simplify:
So we now have:
Likewise, the point (2, 200) tells us that y = 200 when x = 2. Therefore:
Solve for b. Dividing both sides by 8 yields:
Thus:
Hence, our exponential function is:
Answer:
is there a picture?
Step-by-step explanation:
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
