All categories

3 years ago

Paige deposited $200 into a bank that offers 3.3% interest rate, compounded daily. In how many years will her balance be $400?

Business

2 answers:

lapo4ka [179]3 years ago

5 0

Answer:

20.9 years

Explanation:

The equation for interested compounded daily is:

$N=N_{0}*(1+\frac{i}{365})^{365*n}$

Where 'N' is the final value, 'N0' is the initial value deposited, and 'i' is the interest rate, plugging in the given data:

$400=200*(1+\frac{0.033}{365})^{365*n}\\2=1.00009^{(365*n)}\\log(2) = 365*n*log(1.00009)\\n= \frac{log(2)}{365*log(1.00009)}\\n= 20.9$

It will take 20.9 years for her balance to reach $400

weeeeeb [17]3 years ago

4 0

C ~~~ APEX
APEXXXXX

You might be interested in

Tim buys a house from Betty in 2011 for $200,000. Betty receives $185,000 and $15,000 goes to Mary, the real-estate agent. Betty

Step2247 [10]

Answer:

$15,000

Explanation:

Gross domestic product is the sum of all final goods and services produced in an economy within a given period which is usually a year.

When calculating GDP, only items produced in the current year are added. The house had been sold in 2007. Adding the sale to the GDP in 2011 would lead to double counting.

It's only the amount paid to the agent that would be added to GDP.

I hope my answer helps you

5 0

3 years ago

You are attempting to value a call option with an exercise price of $100 and one year to expiration. The underlying stock pays n

natka813 [3]

Answer:

$18.18

Explanation:

Calculation to determine the call option's value using the two-state stock price model

Based on the information given since the two possible stock prices are: S+ = $130 Increase and and S- = $70 decrease which means that If the exercise price is the amount of $100 the first step will be to determine the corresponding two possible call values.

First step is to determine the corresponding two possible call values.

Hence, the corresponding two possible call values are:

Cu = ($130-$100) and Cd = $0

Cu = $30 and Cd = $0

Second step is to Calculate the hedge ratio using this formula

Hedge ratio= (Cu - Cd)/(uS0 - dS0)

Hedge ratio= (30- 0)/(130 - 70)

Hedge ratio=30/60

Hedge ratio= 0.50

Third step is form the cost of the riskless portfolio and end-of-year value

Cost of the riskless portfolio = (S0 - 2C0)

Cost of the riskless portfolio = 100 - 2C0

End-of-year value =$70

Fourth step is to calculate the present value of $70 with a one-year interest rate of 10%:

Present value=$70/1.10

Present value= $63.64

Now let estimate the call option's value by first Setting the value of the hedged position to equal to the present value

Call option's value=$100 - 2C0 = $63.64

Hence,

C0=$100-$63.64/2

C0=$36.36/2

C0=$18.18

Therefore the call option's value using the two-state stock price model will be $18.18

3 0

3 years ago

According to a 2018 article in Esquire magazine, approximately 70% of males over age will develop cancerous cells in their prost

yaroslaw [1]

Answer:

a) Probability of prostrate cancer given a positive test is P(C|+) = 0.0213

b) Probability of cancer given a negative test is P(C|-) = 0.0161

c) Probability of prostrate cancer given a positive test is P(C|+) = 0.3137

d) Probability of cancer given a negative test is P(C|-) = 0.2553

Explanation:

Probability male patient has prostate cancer, P(C) = 0.02

Probability male patient does not have prostrate cancer P(C') = 1 - 0.02 = 0.98

Probability of a positive test given there is no cancer, i.e. P(false positive) = P(+|C') = 0.75

P(negative test given there is cancer) = P(false negative) = P(-|C) = 0.2

P(negative test given there is no cancer) is the complement of P(+|C') = P(-|C') = 1 - 0.75 = 0.25

Probability of positive test given there is prostrate cancer, P(+|C) is the complement of P(-|C), = 1 - 0.2 = 0.8.

a) Probability of prostrate cancer given a positive test is P(C|+)

According to Baye's theorem, P(C|+) = P(+|C)P(C)/P(+)

For P(+), we use the Law Of Total Probability: P(+) = P(+|C)P(C) + P(+|C')P(C')

P(+) = (0.8 * 0.02) + (0.75 * 0.98) = 0.751

Therefore, P(C|+) = P(+|C)P(C)/P(+)

P(C|+) = (0.8 * 0.02)/0.751 = 0.0213

b) Probability of cancer given a negative test is P(C|-)

According to Baye's theorem, P(C|-) = P(-|C)P(C)/P(-)

P(-) = P(-|C)P(C) + P(-|C')P(C')

P(-) = (0.2 * 0.02) + (0.25 * 0.98) = 0.249

Therefore, P(C|-) = (0.2 * 0.02)/0.249

P(C|-) = 0.0161

Part 2: Given the following;

Probability male patient has prostate cancer, P(C) = 0.3

Probability male patient does not have prostrate cancer P(C') = 1 - 0.3 = 0.70

Probability of a positive test given there is no cancer, i.e. P(false positive) = P(+|C') = = 0.75

P(negative test given there is cancer) = P(false negative) = P(-|C) = 0.2

P(negative test given there is no cancer) is the complement of P(+|C') = P(-|C') = 1 - 0.75 = 0.25

Probability of positive test given there is prostrate cancer, P(+|C) is the complement of P(-|C), = 1 - 0.2 = 0.8.

c) Probability of prostrate cancer given a positive test is P(C|+)

According to Baye's theorem, P(C|+) = P(+|C)P(C)/P(+)

For P(+), we use the Law Of Total Probability: P(+) = P(+|C)P(C) + P(+|C')P(C')

P(+) = (0.8 * 0.3) + (0.75 * 0.7) = 0.751

Therefore, P(C|+) = P(+|C)P(C)/P(+)

P(C|+) = (0.8 * 0.3)/0.765 = 0.3137

d) Probability of cancer given a negative test is P(C|-)

According to Baye's theorem, P(C|-) = P(-|C)P(C)/P(-)

P(-) = P(-|C)P(C) + P(-|C')P(C')

P(-) = (0.2 * 0.3) + (0.25 * 0.7) = 0.235

Therefore, P(C|-) = (0.2 * 0.3)/0.235

P(C|-) = 0.2553

4 0

3 years ago

Andrew gillum experience

MrRa [10]

A lot of hatred in school

5 0

3 years ago

A firm in an industry with many other firms spends a significant amount on advertising to ensure consumers recognize their logo.

Soloha48 [4]

Answer:

Monopolistic competition

Explanation:

A monopolistic competition is when there are many firms selling differentiated products in an industry.

A monopolistic industry has characteristics of both a monopoly and a perfect competition. The demand curve is downward sloping. it sets the price for its goods and services.

An example of monopolistic competition are restaurants

4 0

2 years ago