Acompany that manufactures brackets for an automaker regularly selects brackets from the production line and performs a torque test. the goal is for mean torque to equal 125 let x equal the torque and assume that x is n(mu, sigma^2). we shall use a sample of size n = 15 to test h0: mu = 125 against a two-sided alternative hypothesis. (a) give the test statistic and a critical region with significance level a = 0.05. sketch a figure illustrating the critical region.
t = 0, t + 7= 0
t= 0, t = -7
the profit function is .
the exponential decay function is defined as
where, a₀ is initial value, r is rate of change and t is time (in year).
from the given information it is noticed that the initial profit is $20,000 and it decreases by 13.4% each year.
the profit function is defined as
therefore the profit function is .
we are given 200 shares at $11.58 per share. by multiplying the number 200 with each share value will get the cost of all shares.
total shares = 200
cost per share = $11.58
cost of 200 shares: total shares * cost per share
= 200 * 11.58 = 2316
commission charged = $12.50
total amount: cost of 200 shares + commission charged
= 2316 + 12.50
total amount = 2328.50
we are given an investment of $8000 deposited for 4 years. we have to find the effective annual yield for which we will need the interest rate and the compounding period.
annual interest rate compunded quarterly, r = 6% = 0.06
compounding period is quarterly, n = 4
annual effectiveyield =
the annual effective yield is 6.13%