89/6 or 14,5/6 or 14.83 that 14 in the fraction is the whole number so it would go first then 5/6
Answer: it will take 17.5 years to double his money in the account.
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 = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
I think it would be "4,096,000" because 80^6=262,144,000,000 and 40^3=64,000.
Those two numbers divided is 4,096,000.
Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259
Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:
1) Find the proportion 
, in which x is the number of people with the desired condition. In our case, p=0.9;
2) Calculate margin of error, i.e.:
z is z-score, which for a 95% confidence, equals 1.96;
Substituting with the data given:
= 0.0259
3) Write: p ±
In our case, the interval will be 0.9 ± 0.0259.
<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259
Answer:
6
Step-by-step explanation:
the hypotenuse should be 3√2*√2=6
