Answer:
I'm not the best at probability but i hope this helps
Explanation:
to find the answer to this, you need to find the probability of a & the probability of b is a occurs. in this case the probability of a is 1/43 and the probability of the boy picking a fruit chew now becomes, 1/42. Now to find the total probability it's the p(A) + p(B) – p(A and B) hope this helps.
Answer:
The new price of the bond is $928.94
Explanation:
Initially the bond's price is equal to its par value which means the coupon rate on bond and the market interest rates are the same i.e. 6%.
Th bond's price is calculated as the sum of the present value of the annuity of interest payments by the bond and the present value of the face value of the bond that will be received at maturity. The discount rate used to calculate the present values is the market interest rate.
As the bond is a semiannual bond, we will use the semi annual coupon payment, the semi annual percentage of the annual rate of interest on market and the number of semi annual periods outstanding.
Semi annual coupon payment = 1000 * 0.06 * 6/12 = $30
Number of semiannual periods till maturity = 10 * 2 = 20 periods
New market interest rate = 6 + 1 = 7% annual
New semi annual market interest rate = 7% / 2 = 3.5%
Price of bond = 30 * [ (1 - (1+0.035)^-20) / 0.035 ] + 1000 / (1+0.035)^20
Price of bond = $928.938 rounded off to $928.94
We used the present value of annuity ordinary formula for preset value of interest payments and the normal present value of principal formula for the face value.
Answer:
It is called A PERMANENT FUND.
Explanation: A PERMANENT FUND is a type of governmental fund that is used to record and account for endowments such as gifts for government or non governmental organisations.
This fund often times is used in financing civic projects, facilities owned by the city concerned and the likes.
Since the preferred stocks are cumulative in nature, the dividend amount not paid in the current year will be accumulated and paid in the next year.
Preferred dividend to be paid in 2017 = Value of preferred stock x Dividend rate
= (4700 x $50) x 5%
= 11750
Dividend to be paid in 2018 = same as 2017 as no new preferred stock issued
= 11750
Total dividend to be paid in 2018 = Dividend to be paid in 2018 + Dividend to be paid in 2017 – Dividend paid in 2017
= 11750 +11750 -7900
= $15600
Answer:
The cost per month is increasing at a rate $365.
Explanation:
Differentiation Formula
Given that,
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by
.
Again given that,
the rate of changing production is 13 unit per month
i.e 
To find the cost per month, we need to find out the value 
when production is changing at the rate 13 units per month and the production is 70 units.
Differentiating with respect to t
Plugging
[ plugging x=70]
=364
[ The unit of c is not given. Assume that the unit of c is dollar.]
The cost per month is increasing at a rate $365.
[ where a is a constant]