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nignag [31]
3 years ago
7

A population of bears increased by 50% in 4 years. If the situation is modeled by an annual growth rate compounded continuously,

which formula could be used to find the annual rate according to the exponential growth function? Leave your answer in terms of ln.
Business
1 answer:
Gekata [30.6K]3 years ago
8 0

Answer:

r=\frac{ln(1.5)}{4}

Explanation:

Given:

Total population after time (P) = 100% + 50%  = 1 + 0.5 = 1.5

Starting population (p) = 100% = 1

Number of year (t) = 4 year

rate of growth = r

Computation:

Exponential growth function for population :

P = pe^{rt}

1.5 = 1\times e^{4\times r}

1.5 = e^{4r}

From taking log:

4r = ln(1.5)

r=\frac{ln(1.5)}{4}

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Which of the following is a function of the Federal Reserve System Board of Governors?
vfiekz [6]

Answer:

The answer is below

Explanation:

The Federal Reserve System Board of Governors is one of the five branches of the Federal Reserve System. Their roles involve carrying out the analysis of economic data, executing supervision of Reserve Banks, establishing and overseeing financial regulations.

The board comprises seven members with 14-year terms. They also partake in the Federal Open Market Committee and as well liaising with leaders in other parts of the government.

4 0
3 years ago
What is another term for liability?<br> A. asset<br> B. notes<br> C. debt<br> D. accounts
Fiesta28 [93]

Answer:

Another term for liability is debt, because both of these terms are accountable for money charges and assist needed :3

Explanation:

:3

6 0
3 years ago
Fixed Overhead Spending and Volume Variances, Columnar and Formula Approaches
shutvik [7]

Answer:

Fixed Overheads Spending Variance = $5,000 Unfavorable(U).

Fixed Overheads Spending Variance = $20,000  Favorable (F).

Explanation:

Fixed Overheads Spending Variance = Actual Fixed Overheads  - Budgeted Fixed Overheads

                                                              = $305,000 -  $300,000

                                                              = $5,000 Unfavorable(U).

Fixed Overheads Spending Variance = Fixed Overheads at Actual Production  - Budgeted Fixed Overheads

                                                              = ($5.00 × 64,000) - $300,000

                                                              = $320,000 - $300,000

                                                              = $20,000  Favorable (F)

3 0
3 years ago
On january 11, 2016, hughes company applied for a trade name. Legal Costs associated with the application were $20,000. In Jan.
wlad13 [49]

Answer:

1. Ending Carrying value value in 2016 = legal cost for application which is $20,000

Ending Carrying value in 2017 = legal cost of application in 2016 + legal fees incurred in 2017 = $20,00 + $8000= $28,000

2. The company should not amortize the trade as it was not impaired in 2016 and 2017.

The trade name can be amortized if it's useful life is known above which the company has determined that it will not use the trade name anymore, then it will be amortized over it's useful life.

6 0
3 years ago
A two-year bond with par value $1,000 making annual coupon payments of $99 is priced at $1,000.
iVinArrow [24]

Answer:

(a) 9.9%

(b)  10.09%

The further explanation is given below.

Explanation:

The given values are:

Coupon payment

=  $99

Price

=  $1,000

(a)

The Yield to maturity (YTM) will be:

= \frac{C+\frac{F-P}{n} }{\frac{F+P}{2} }

where,

C = Coupon payment

P = Price

n = years to maturity

F = Face value

On putting the estimated values is the above formula, we get

⇒  99+\frac{0}{1000}

⇒  .099

⇒  9.9%

(b)

Although the 1st year coupon was indeed reinvested outside an interest rate of r%, cumulative money raised will indeed be made at the end of 2nd year.  

= [99\times (1 + r)] + 1,099

Came to the realization compound YTM is therefore a function of r, as is shown throughout the table below:

Rate (r)             Total proceeds         Realized YTM ((\frac{proceeds}{1000} )^{.5} - 1)

7.9%                      1205.8                                   9.8%

9.9%                             1207.8                                   9.9%

11.9%                      1209.8                                  9.99%

Now,

Overall proceeds realized YTM:

= \frac{proceeds}{1000} -18 \ percent \ 1,\frac{2081208}{1000} - 1

= 0.0991

= 9.91 \ percent \ 10 \ percent \ 1,\frac{2101210}{1000}- 1

= 0.1000

= 10.00 \ percent \ 12 \ percent \ 1,\frac{2121212}{1000}-1

= 0.1009

= 10.09%

6 0
3 years ago
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