Answer: £14378
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = £11000
n = 1 because it was compounded once in a year.
For the first 3 years,
r = 3.9% = 3.9/100 = 0.039
Therefore,
A = 11000(1+0.039/1)^1 × 3
A = 11000(1.039)^3
A = $12338
The new principal is 12338
For the next 4 years,
A = 12338(1.039)^4
A = 14378
Answer:
20
Step-by-step explanation:
x/67=29/100
29x67=1943
1943/100=
19.43
Round:
20
(a) 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b) When the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
<u>Explanation:</u>
Given:
σ = 15.6
Let the number of subjects be n
(a)
When the confidence level is 99%, then z = 2.576
E = 2
We know:
![n = [\frac{z X s}{E}]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7Bz%20X%20s%7D%7BE%7D%5D%5E2)
On substituting the value, we get:
![n = [\frac{2.576 X 15.6}{2} ]^2\\\\n = 403.7](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B2.576%20X%2015.6%7D%7B2%7D%20%5D%5E2%5C%5C%5C%5Cn%20%3D%20403.7)
Thus, 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b)
When the confidence level is 95%, then z = 1.96
E = 2
We know:
On substituting the value, we get:
![n = [\frac{1.96 X 15.6}{2} ]^2\\\\n = 233.7](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.96%20X%2015.6%7D%7B2%7D%20%5D%5E2%5C%5C%5C%5Cn%20%3D%20233.7)
n = 234
Thus, when the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
√8 = 2√2 = 2√2 = 2 x 1.414... =2.828....(irrational number between 2 and 3)
2.π = 6.283...........................................(irrational number between 6 and 7)
7/3 = 2.33333.. (mind you a repeating decimal is a rational number), then:
7/3 = 2.33333 ......................................(rational number between 2 and 3)
e/2 = 1.359...........................................(irrational number between 1 and 2)
3/2 = 1.5 ..............................................(rational number between 1 and 2)
