Invested amount (P0 = £6000.
Rate of interest (r) = 3.4% = 0.034.
We know compound interest formula
A = P(1+r)^t
We need work out the value of his investment per year.
So, we need to plug t=1 and plugging values of P and r in the formula above, we get
A = 6000(1+0.034)^1
A = 6000(1.034)
A = 6204.
<h3>Therefore, the value of his investment per year is £ 6204.</h3>
Now, we need to work out the value of his investment after 3 years.
So, we need to plug t=3.
A = 6000(1+0.034)^3
A = 6000(1.034)^3
1.034^3=1.105507304
A = 6000 × 1.105507304
A = 6633.04
<h3>Therefore, the value of his investment after 3 year is £ 6633.04.</h3>
Answer:
36.9
Step-by-step explanation:
Vertex of x^2 = (0,0)
Vertex of x^2 - 8x + 7
Find the roots by factoring
(x - 7)( x -1 )=0
x= 7, x = 1
middle: [7+1]/2 = 8/2 = 4
g(4) = 4^2 -8(4) + 7 = 16 - 32 + 7 = -9
Vertex = (4,-9)
Then the translation is right 4, down 9. This is the first option.
Answer:
a)=0.6826
b)=0.6331
c))=0.1662
d)0.0016
Step-by-step explanation:
Binomial Distribution refers to the distribution in whereby only two possible outcomes. It takes place whether the event is happening or not happening , irrespective of the number of trials.
Given:
p = 0.6, q = 1 - p = 0.4
a)P(At least 3 out of 5 days) = P(3) + P(4) + P(5)
P(X≥3)=P(X=3)+P(X=4)+P(X=5)=5C3×0.63×0.45−3+5C4×0.64×0.45−4+5C5×0.65×0.45−5
10×0.63×0.45- 3+5×0.64×0.45 - 4+1×0.65×0.45 - 5
=0.6826
(b)P(At least 6 out of 10 days)
p(X = 6) + p(X = 7) + p(X = 8) + p(X = 9) + p(X = 10) =
0.2508 + 0.2150 + 0.1209 + 0.0403 + 0.0061 = 0.6331
(c)P(5 out of 10 days )
checking the binomial distribution table
p(X < 5) =
p(X = 0) + p(X = 1) + p(X = 2) + p(X = 3) + p(X = 4) =
0.0001 + 0.0016 + 0.0106 + 0.0425 + 0.1114 =0.1663
(d)
P(X<6)=0.0016
P(X<6)=0.0016
from answer from option D, it shows that there is 0.16% chance distribution from the 20 random sample,then it can be concluded that P<0.60
Answer: 36
Step-by-step explanation: multiply 2 6 and 3