Answer:
0.06x + 0.15y = 69.84
x = (69.84 - 0.15y) / 0.06
y = (69.84 - 0.06x) / 0.15
x + y = 852
((69.84 - 0.15y) / 0.06) + y = 852
y = ?
(I'm not trying to give you the answer but guide you how to do it)
Answer:
The interest rate of Jess's account was 7%
Step-by-step explanation:
A = P * (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
8,150 = 5,000 * (1 + r * 9)
8,150/5,000 = 1 + 9r
1.63 = 1 + 9r
1.63 - 1 = 9r
0.63 = 9r
r = 063/9
r = 0.07 = 7%
The interest rate of Jess's account was 7%
Starting from what I know (the difference between ribbons), I decided to go from the bottom and work my way up. I then noticed a pattern (each sum was three more of the previous one), and decided to keep my pattern of the three numbers but not have to do any major mental work and instead add three to the previous sum until I got to 38.
No, because it has a constant rate of change
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%