Answer:
time = 28 years
Step-by-step explanation:
Given,
principal amount = $10,000
rate = 4%
total amount = $30,000
According to compound interest formula
![A\ =\ P(1+r)^t](https://tex.z-dn.net/?f=A%5C%20%3D%5C%20P%281%2Br%29%5Et)
where, A = total amount
P = principal amount
r = rate
t = time in years
so, from the question we can write,
![30000\ =\ 10000(1+0.04)^t](https://tex.z-dn.net/?f=30000%5C%20%3D%5C%2010000%281%2B0.04%29%5Et)
![=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t](https://tex.z-dn.net/?f=%3D%3E%5C%20%5Cdfrac%7B30000%7D%7B10000%7D%5C%20%3D%5C%20%281%2B0.04%29%5Et)
![=>\ 3\ =\ (1.04)^t](https://tex.z-dn.net/?f=%3D%3E%5C%203%5C%20%3D%5C%20%281.04%29%5Et)
by taking log on both sides, we will get
=> log3 = t.log(1.04)
![=>\ t\ =\ \dfrac{log3}{log1.04}](https://tex.z-dn.net/?f=%3D%3E%5C%20t%5C%20%3D%5C%20%5Cdfrac%7Blog3%7D%7Blog1.04%7D)
=> t = 28.01
So, the time taken to get the amount from 10000 to 30000 is 28 years.
Answer:
(mn+n²)/(m+n)
Step-by-step explanation:
probability of blue marble= n/(n+m)
probability of red marble= m/(n+m)
probability that process stops = Probability of both blue + probability of both red= n/(n+m) × n/(n+m) + m/(n+m)×m/(n+m)
= (n²+m²)/(n+m)²
P(1st marbel is blue)= P(blue and red) + P(blue and blue)
= mn/(n+m) + n²/(n+m)
= (mn+n²)/(m+n)
P(1st marble is blue | process stops)= ( (mn+n²)/(m+n)× (n²+m²)/(n+m)²)/ ((n²+m²)/(n+m)²)
= (mn+n²)/(m+n)
Answer:
f = 12(s - 35).
Step-by-step explanation:
The number of miles per hour he was over the limit = s - 35.
So his fine f is:
f = 12(s - 35).
Answer:
x = 8.0
Step-by-step explanation:
sin theta = opposite/ hypotenuse
sin 53 = x/10
Multiply by 10 on each side
10 sin 53= x
7.9863551 =x
Rounding to the nearest tenth
8.0 =x
Minus p both sides
xy=5-p
divide both sides by x
y=(5-p)/x
B