Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: 
, where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: 
Taking log on both sides , we get
Hence, he needs to invest the money for 6 years to get atleast £475.
Answer:
8
Step-by-step explanation:
it's 8 because the sides facing each other equal
Answer:
A) P(WWC) = 0.128
B) P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) probability of getting 2 correct answers when 3 guesses are made is i.e P (1 wrong and 2 correct) = 0.064
Step-by-step explanation:
A) Using the multiplication rule, we have; P(A and B) = P(A) x P(B)
Probability of a wrong answer = 4/5 = 0.8
Probability of a correct answer = 1/5 =0.2
Thus; P(WWC) = 0.8 x 0.8 x 0.2 = 0.128
B) Beginning with one wrong and two correct answers, a complete list of all possibilities is;
P(WCC), P(CWC), P(CCW)
Hence the complete list is;
(0.8 x 0.2 x 0.2); (0.2 x 0.8 x 0.2); (0.2 x 0.2 x 0.8)
So we have;
P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) Based on the results above, the probability of getting 2 correct answers when 3 guesses are made is i.e P(1 wrong and 2 correct) = 2 x 0.032 = 0.064
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
<u>Step 1</u>: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
<u>Step 2</u>: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
<u>Step 3</u>: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
_____
<em>Additional comment</em>
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
