Answer:
$4125.00
14.94 years
$379.50
Step-by-step explanation:
1. A = P(1 + r/n)^(nt)
4837.65 = P(1 + 0.032/4)^(4×5)
4837.65 = P(1.008)^(20)
P = 4125.00
2. A = P(1 + r/n)^(nt)
10250 = 5125(1 + 0.0475/1)^(1×t)
10250 = 5125(1.0475)^t
2 = 1.0475^t
ln 2 = t ln 1.0475
t = 14.94
3. Beth pays the first $100, bringing the cost to $1118. She then pays 25% of this, which is $279.50. So she pays a total of $379.50.
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer:
1:15 2:12 3:9 5:3
Step-by-step explanation:
All you have to do is plug in the # under the letter x , and plug it into the equation. For example 18 - 3 x 1 , is just saying what is 18 - 3 . Another example would be 18 - 3 x 2 . the equation is simply just 18 - 6 . Just plug in the x numbers in the equation. Hope my answer helped , and good luck! : )
Answer:
y=5x+4
Step-by-step explanation:
y=mx+b
m=slope
x=constant
b=y intercept
