A = 5/6(B + C)
multiply 6 on both sides
6A = 5(B + C)
divide 5 from both sides
6A/5 = B + C
subtract B from both sides
6A/5 - B = C
20 total marbles....7 are green
probability on first draw is 7/20...and since the marble was not replaced, the probability on the second draw is 6/19. And since they cant happen at the same time, we multiply
7/20 * 6/19 = 42/380 which reduces to 21/190
Answer: the value of the account after 10 years is $2606
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
P = 1800
r = 3.7% = 3.7/100 = 0.037
t = 10 years
Therefore,
A = 1800 x 2.7183^(0.037 x 10)
A = 1800 x 2.7183^(0.37)
A = $2606 to the nearest dollar
Answer:
Monthly Living Expense = 2375
Monthly Fixed Expense = 1975
Step-by-step explanation:
Let monthly living expense be "x"
and monthly fixed expense be "y"
<u>"monthly living expenses were 400 more than his monthly fixed expenses":</u>
x = 400 + y
<u>"Richard total monthly expenses were 4350":</u>
x + y = 4350
Putting Equation 1 in Equation 2:
(400 + y) + y = 4350
400 + 2y = 4350
2y = 3950
y = 1975
Now, x = 400 + y = 400 + 1975 = 2375
