Answer:
$469887
Step-by-step explanation:
you should use compound interest formula which is
A=P(1+r/100) ^t
A = 242800 ( 1 + 0.045 ) ^ 15
when you punch this into a calculator you will get 469886.5771.....
when you round it off to a whole number the answer is $469887
Answer:
5/21.
Step-by-step explanation:
Total number of balls = 7.
Prob(Blue on first pick) = 3/7
Prob(Blue on second pick) = 2/6 = 1/3
So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.
Prob(Red on first pick) = 2/7
Prob(Red on second pick) = 1/6
So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.
Now the Probability of getting 2 white balls is the same as for the red balls
= 1/21.
Finally, the probability of 2 balls of the same colour
= 1/7 + 1/21 + 1/21
= 3/21 + 1/21 + 1/21
= 5/21.
Answer:
b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Step-by-step explanation:
Simplify the following:
-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)
-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:
10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)
3 (2 b - 5 a) = 6 b - 15 a:
10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)
b (-8 + 6 a + b) = -8 b + 6 a b + b^2:
10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2
Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):
b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
a b 6 + a b (-2) = 4 a b:
b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
6 b - 8 b = -2 b:
b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)
10 a - 15 a = -5 a:
Answer: b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Hello!
Use the Pythagorean Theorem to solve for x:
a² + b² = c²
We are given the lengths of two sides, so we can plug those into the formula:
9² + 12² = x²
81 + 144 = x²
225 = x²
√225 = x
x = 15.
Answer:
8t - 15
Explanation:
⇒ 3(t+5)+5(t−6)
distribute inside parenthesis
⇒ 3(t) + 3(5) + 5(t) + 5(-6)
multiply the variables
⇒ 3t + 15 + 5t - 30
collect like terms
⇒ 3t + 5t + 15 - 30
add/ subtract like terms
⇒ 8t - 15
