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mars1129 [50]
3 years ago
15

The winner of the first annual Tom Morris Golf Invitational won $115 in the competition which was held in 1901. In 2015, the win

ner received $1,480,000. If the winner's purse continues to increase at the same interest rate, how much will the winner receive in 2052
Business
1 answer:
pickupchik [31]3 years ago
5 0

Answer:

$31,920,341.91

Explanation:

The computation is shown below:

For computing the receiving amount in 2052 first we have to determine the rate which is shown below:

Current value = Initial value × (1 + interest rate)^time period

$1,480,000 = $115 × (1 + interest rate)^114

So, after solving this, the interest rate is 8.654%

Now the received amount in 2052 is

= $1,480,000 × (1 + 0.8654%)^37

= $31,920,341.91

The time period is come from

= 2015 - 1901

= 114

And, the 37 years is come from

= 2052 - 2015

= 37

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a bacteria population starts with 200 bacteriaa and grows at a rate of r(t) = (450.268)e 1.12567t bacteria per hour. How many ba
Virty [35]

Answer:

11,513

Explanation:

Data provided in the question:

Initial bacteria = 200

Growth rate r(t) = (450.268)e^{1.12567t}

Now,

Total growth after 3 hours = \int\limits^3_0 {(450.268)e^{1.12567t}} \, dt

or

Total growth after 3 hours = 450.268\int\limits^3_0 {e^{1.12567t}} \, dt

or

Total growth after 3 hours =450.268[\frac{e^{1.12567t}}{1.12567}]^3_0

[ ∵ \int{d(e^x)}{dt}=\frac{e^x}{\frac{dx}{dt}}]

Thus,

Total growth after 3 hours = 400 × [{e^{1.12567t}]^3_0

or

Total growth after 3 hours = 400 × [{e^{1.12567(3)}-e^{1.12567(0)}]

or

Total growth after 3 hours ≈ 11313

Hence,

Total bacteria after 3 hours = Initial bacteria + Total growth after 3 hours

= 200 + 11313

= 11,513

4 0
3 years ago
________ costs are costs that limit the occurrence of defects and imperfections. prevention failure process assessment appraisal
ddd [48]
<span>Process costs are costs that limit the occurrence of defects and imperfections. Process costing is an accounting methodology that traces and accumulates direct costs, and allocates indirect costs of a manufacturing process. ... It is a method of assigning costs to units of production in companies producing large quantities of homogeneous products.</span>
7 0
3 years ago
"Holly, Inc. is a U.S.-based MNC contemplating the acquisition of a Thai firm which will be used to produce computers that will
olga55 [171]

Answer:

Holly; more

Explanation:

In this secanrio we have two firm Holly Inc and Molly inc. Holly inc is interested in acquiring a company in Thailand that produces computers and sells them within Thailand.

Molly Inc on the other hand wants to acquire a Thailand company that will produce computers and export them.

Holly Inc is more sensitive to the economic conditions of Thailand because they want to contribute to the country's GDP and growth by selling computers in Thailand.

Molly Inc however is using Thailand for its production and exporting the computers. It does not contribute to the Thailand economy.

5 0
3 years ago
Five hundred units of good x are currently bought and sold. The marginal buyer is willing to pay $40 for the 500th unit, and the
dimaraw [331]

Answer:

D : All options are correct

Explanation:

- The marginal buyer is the essence of demand curve while marginal seller is essence of supply curve.

- @ Q = 500 units,    Selling Price is set at SP = $35

- @ Q = 500 units,    Buying Price is set at BP = $40

- Since, SP ≠ BP our equilibrium price would be $ 37.5 assuming the price elasticity of demand and supply are equal. In any case the equilibrium price would lie in between [ 35 , 40 ] such that to prevent a shortage of units in near future.

- Moreover, if the seller decides to sell at price $35 then he must sell goods greater than 500 units to reach the equilibrium profits. However, it could also lead to excess of units or surplus.

- We see that from selling the goods at SP = $35 while the buyer is willing to pay BP = $40 for 500 goods, the seller would be under-profiting and would be earning $5*500 = $2,500 less than he would at equilibrium price of $40 and selling units greater than 500. Hence, 500 goods is not an efficient quantity of goods.

6 0
3 years ago
Bond j has a coupon rate of 5 percent and bond k has a coupon rate of 11 percent. both bonds have 13 years to maturity, make sem
aleksley [76]

To find the change in the price of the bonds, first need to find the price of individual Bond.

Bond Price is directly related to the change in the YTM of the bond. If the YTM rises by 2%, the price of the bond will fall.

Bond J :

(WHEN YTM IS 8%)

Coupon Rate: 5%

Coupon Amount (PMT): $1,000 * 5% = $50/2 = $25 (Semi annual coupon amounts)

Number of years (NPER) = 13*2 = 26

YTM (rate) = 8%/2 = 4%

Face Value: $1000

Price (PV0) : ?

To find the price of the bond, can either use excel or with formula.

When input the below formula in excel,

PV =pv(rate,nper,pmt,fv,type)

P0 =pv(4%,26,-25,-1000)

When input the formula in excel, we get PV as $760.26

(WHEN YTM RISES BY 2%, NEW YTM IS 10%)

Coupon Amount (PMT): $25 (Semi annual coupon amounts)

Number of years (NPER) = 26

YTM (rate) = 10%/2 = 5%

Face Value: $1000

Price (PV1) : ?

To find the price of the bond, can either use excel or with formula.

When input the below formula in excel,

PV =pv(rate,nper,pmt,fv,type)

P1 =pv(5%,26,-25,-1000)

When input the formula in excel, we get PV as $640.62

CHANGE IN THE BOND PRICE OF BOND J DUE TO THE CHANGE IN THE YTM

%change = (P1 – P0)/P0

%change = ($640.62 - $760.26)/$760.26

%change = -18.68%

Therefore, with the increase in 2% YTM of BOND J, the price falls by 18.68%

Bond K :

(WHEN YTM IS 8%)

Coupon Rate: 11%

Coupon Amount (PMT): $1,000 * 11% = $110/2 = $55 (Semi annual coupon amounts)

Number of years (NPER) = 13*2 = 26

YTM (rate) = 8%/2 = 4%

Face Value: $1000

Price (PV0) : ?

To find the price of the bond, can either use excel or with formula.

When input the below formula in excel,

PV =pv(rate,nper,pmt,fv,type)

P0 =pv(4%,26,-55,-1000)

When input the formula in excel, we get PV as $1,239.74

(WHEN YTM RISES BY 2%, NEW YTM IS 10%)

Coupon Amount (PMT): $55 (Semi annual coupon amounts)

Number of years (NPER) = 26

YTM (rate) = 10%/2 = 5%

Face Value: $1000

Price (PV1) : ?

To find the price of the bond, can either use excel or with formula.

When input the below formula in excel,

PV =pv(rate,nper,pmt,fv,type)

P1 =pv(5%,26,-55,-1000)

When input the formula in excel, we get PV as $1,071.88

CHANGE IN THE BOND PRICE OF BOND K DUE TO THE CHANGE IN THE YTM

%change = (P1 – P0)/P0

%change = ($1071.88 - $1239.74)/$1239.74

%change = -13.54%

Therefore, with the increase in 2% YTM of BOND k, the price falls by 13.54%

SIMILALRY IF THE BOND PRICES FALLS BY 2%, the YTM WILL BE 6%/2 = 3% **(REFER THE IMAGE ATTACHED)

5 0
2 years ago
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