Step-by-step explanation:
I hope this helps.......
Answer:
8,229,437 cents
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^n
Given
Principal invested = $37700
rate r = 5% = 0.05
Time t = 16years
Substitute into the formula
A = 37700(1+0.05)^16
A = 37700(1.05)^16
A = 37700(2.1829)
A = 82,294.37
Hence the amount of money, to the nearest cent, in the account after 16 years is 8,229,437 cents
Complete Question
A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?
Answer:
Step-by-step explanation:
From the question we are told that
Initial velocity 
Initial Height 
Final Height 
Generally the Newtons equation for motion is mathematically given by
Where
And
Therefore
Generally the equation for Time is mathematically Given as
Therefore the time spent on air by the ball is
Answer:
It has no perfect square factors, unless you count 1 = 1^2. That's sort of a degenerate case we don't usually count, since every integer has that factor. We would usually say that 1290 is a square-free integer. Hope this helps!!
Answer:
Answer is c
Step-by-step explanation:
In hypothesis testing whether to accept or reject null hypothesis, normally we find one method as using confidence interval. If the test statistic lies within confidence interval, we accept otherwise we reject.
For arriving confidence intervals we add and subtract margin of error from the mean we use in null hypothesis.
Margin of error = std error * critical value of test (Z or t etc)
For the same std deviation, std error = std dev/sq rt of sample size
Thus std error is inversely proportional to the square root of sample size.
If n becomes larger, std error becomes smaller and vice versa.
So margin of error increases for smaller sample size.
Since we have to select confidence level from a small sample, we have to select one which has the greatest margin of error=18
Hence answer is
c) 71%(+/-18%)
