Answer:
a-1) Pv = 52549
a-2) Pv = 56822
b-1) Fv = 77570
b-2 Fv = 83878
Explanation:
b-1) Future value:
S= Sum of amount of annuity=?
n=number of fixed periods=5 years
R=Fixed regular payments=13200
i=Compound interest rate= .081 (suppose annualy)
we know that ordinary annuity:
S= R [(1+i)∧n-1)]/i
= 13200[(1+.081)∧5-1]/.081
=13200(1.476-1)/.081
= 13200 * 5.8765
S = 77570
a.1)Present value of ordinary annuity:
Formula: Present value = C* [(1-(1+i)∧-n)]/i
=13200 * [(1-(1+.081)∧-5]/.081
=13200 * (1-.6774)/.081
=13200 * (.3225/.081)
=52549
a.2)Present value of ordinary Due:
Formula : Present value = C * [(1-(1+i)∧-n)]/i * (1+i)
= 13200 * [(1- (1+.081)∧-5)/.081 * (1+.081)
= 13200 * 3.9822 * 1.081
= 56822
b-2) Future value=?
we know that: S= R [(1+i)∧n+1)-1]/i ] -R
= 13200[ [ (1+.081)∧ 5+1 ]-1/.081] - 13200
= 13200 (.5957/.081) -13200
= (13200 * 7.3544)-13200
= 97078 - 13200
= 83878
The correct answers are:
<span>A.)mutual funds are more strictly regulated than hedge funds
</span><span>D.)mutual funds collect money from investors while hedge funds from companies
Mutual funds are investment programs that are funded by shareholders while hedge funds are invested funds from borrowed money. In terms of an investment program, mutual funds are more effective.</span>
The discount lost account is used under the net method for inventory.
<h3><u>
What is discount?</u></h3>
- When a security is trading for less than its intrinsic or basic value, it is said to be trading at a discount in the world of finance and investment.
- When a bond's price is trading below its par value, or face value, in the fixed-income market, a discount is present.
- The extent of the discount is equal to the difference between the price paid for a security and its par value.
- Bonds may trade at a discount for a variety of reasons, such as rising interest rates, problems with the underlying company's credit, or riskiness when compared to comparable bonds.
The discount rate, an interest rate used to calculate the time worth of money, should not be confused with a discount.
Know more about discount with the help of the given link:
brainly.com/question/3541148
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Answer:
The answer is below.
Explanation:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
![z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5C%5C%5C%5Cwhere%5C%20x%3Draw%5C%20score%2C%20%5Cmu%3Dmean%2C%5Csigma%3Dstandard%5C%20deviation%5C%5C%5C%5CFor%5C%20a%5C%20sample%5C%20size%28n%29%3A%5C%5C%5C%5Cz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%20%7D)
a) Given that n = 100, μ = 2000, σ = 18
For x < 1995 millimeters:
![z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{1995-2000}{18/\sqrt{100} } =-2.78](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%20%7D%3D%5Cfrac%7B1995-2000%7D%7B18%2F%5Csqrt%7B100%7D%20%7D%20%20%3D-2.78)
From the normal distribution table, P(x < 1995) = P(z < -2.78) = 0.0027
b) P(z > z*) = 10% = 0.1
P(z < z*) = 1 - 0.1 = 0.9
z* = 1.28
![z*=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\1.28=\frac{x-2000}{18/\sqrt{100} }\\\\x-2000 =-2.304\\\\x=2002.3\ ml\\\\](https://tex.z-dn.net/?f=z%2A%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%2F%5Csqrt%7Bn%7D%20%7D%5C%5C%5C%5C1.28%3D%5Cfrac%7Bx-2000%7D%7B18%2F%5Csqrt%7B100%7D%20%7D%5C%5C%5C%5Cx-2000%20%20%3D-2.304%5C%5C%5C%5Cx%3D2002.3%5C%20ml%5C%5C%5C%5C)
From the normal distribution table, P(z < z
Answer:
It is the sum of the fixed costs and variable costs.
Hope this helps!