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lina2011 [118]
2 years ago
13

A person places $479 in an investment account earning an annual rate of 8.2%, compounded continuously. Using the formula V = Pe^

{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 12 years.
Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Answer:

V = 128139\ cents

Step-by-step explanation:

Given

V = Pe^{rt}

P = 479

r = 8.2\%

t = 12

Required

Find V

To do this, we simply substitute the values of P, r and t in the above formula:

V = Pe^{rt} becomes

V = 479 * e^{8.2\% * 12}

Convert % to decimal

V = 479 * e^{0.082 * 12}

V = 479 * e^{0.984}

V = 479 * 2.675135411

V = \$1281.38986187

Convert to cents

V = 1281.38986187 * 100\ cents

V = 128138.986187\ cents

V = 128139\ cents <em>-- Approximated</em>

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kondaur [170]

Answer:

the probability that the exceeded 65 = 0.3707

The average score of the 36 golfers exceeded 65

                        = 36 X 0.3707 = 13.3452

Step-by-step explanation:

<u>Step 1</u>:-

The average score of all golfers for a particular course has a mean of 64 and a standard deviation of 3.

mean (μ) = 64

standard deviation (σ) =3

by using normal distribution

given (μ) = 64 and  (σ) =3

i) when x =65

z = \frac{x-mean}{S.D} = \frac{65-64}{3} = 0.33 >0

P( X≥ 65) = P(z≥0.33)

              = 0.5 - A(z₁)

              = 0.5 - 0.1293 (see normal table)

             = 0.3707

The average score of the 36 golfers exceeded 65

                        = 36 X 0.3707 = 13.3452

                                               

6 0
2 years ago
A distributor buys packs of trading cards from a wholesaler for $0.80 each. The distributor marks up the cards by 100% before se
Llana [10]

Answer:

$1.60

$2.88

Step-by-step explanation:

To find the selling price of the distributor and the retailer, we first need to find how much the distributor sells each pack of cards.

To find the selling price we use the formula.

Selling Price = Cost + Markup

Cost = $0.80

Markup rate = 100% or 1

Selling Price = 0.80 + (0.80*1)

Selling Price = $1.60

So the distributor sells each pack of cards at $1.60 to the retailer.

Now to find the selling of the retailer, we need to use the selling price of the distributor.

Cost = $1.60

Markup rate = 80% or 0.80

Selling price =  1.60 + (1.60 * 0.80)

Selling price = $2.88

So the retailer sells each pack of cards at $2.88 to the customers.

8 0
2 years ago
Read 2 more answers
Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order fro
laila [671]
5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
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2 years ago
Mr.Walden wrote the expression. He asked his students to write an equivalent expression of simplified form.
mafiozo [28]

Answer:

option D

Brianna

Step-by-step explanation:

Given in the question the expression wrote by Mr.Walden

\frac{p^{-5} }{q^{0} }

To write the simplified form of this expression we will use negative rule of exponent

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so,

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3 0
2 years ago
John Birks "Dizzy" Gillespie (1917-1993) was a trumpeter and was extremely influential in the development of bebop. Also an acco
Nikitich [7]

Answer:

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<em>Bebop</em> required instrumental virtuosity and creativity to improvise as it involves fast tempo, and numerous of rapid changes of chords and keys. Personal characteristics that Gillispie had in excess.

As you can find in the internet, the nickname of "Ambassador of Jazz" was given to him in 1956, during a State Department tour of the Middle East that he succesfully organized.

Gillespie was a leader in music and an innovator who greatly influenced the musical development of this genre. He played along with other important jazz and bebop players of his time.

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