Un inversionista desea comprar acciones de dos tipos. Las de tipo A generan un interés simple a razón de una tasa de 0,5 % mensual; mientras que las de tipo B producen un interés compuesto del 0,3 % mensual capitalizable trimestralmente. Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses? ¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00? ¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?

Answers

Answer 1

Answer:

Si se invierten S/10 000 en acciones del tipo A, ¿cuánto de ganancia se obtendrá al cabo de seis meses?

$10,000 x 0.5% x 6 = $300

¿Cuánto se debe invertir en acciones del tipo B para que al cabo de seis meses se obtenga una ganancia de S/876,00?

interes compuesto = 0.9% trimestral

X · (1 + 0.009)² = X + $876

1.018081X = X + $876

0.018081X = $876

X = $876 / 0.018081 = $48,448.65

¿A qué tasa de interés compuesto anual la utilidad en un año es la misma para los dos tipos de acciones?

$1 x 106% = $1 x (1 + i)⁴

$1.06 = $1 x (1 + i)⁴

(1 + i)⁴ = $1.06 / $1 = 1.06

⁴√(1 + i)⁴ = ⁴√1.06

1 + i = 1.01467

i = 0.01467 = 1.467% trimestral

0.489% mensual capitablizable trimestralmente


Related Questions

A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% ​, find the price of the television set before taxes.

Answers

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

13 and 5/8 plus 7/8 please answer quickly

Answers

13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

Which step can you use to solve the equation first -5+p=4?

Answers

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

Which inequality is true?

Answers

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

2.33 > 2.17 True

How do you know if it is inequality or not w/ fraction?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

To solve an inequality using the following steps:

1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

2) Simplify by combining like terms on each side of the inequality.

3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Answer:

B

Step-by-step explanation:

I did the quiz

HURRY I'M TIMED!!



What is the quotient? -4/5 divided bye 2

Answers

Answer:

-0.4

Step-by-step explanation:

Good luck!

Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.

Answers

Answer:

(-4,-1)

X value: -2 - 2 = -4.

Y value: 4 - 5 = -1

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

w = 8.75h
What is an impossible value for h?

Answers

Answer:

h = 0.1 142857 w

Step-by-step explanation:

Answer:

hayy

Step-by-step explanation:

The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket.  Each of the tables gives the prices of various pounds of blueberries at a different supermarket.  Which of these tables represents blueberries that are more expensive than those represented by the equation?  Select all that apply.

Answers

Answer:

Table C, Table D, Table E

Step-by-step explanation:

See attachment for tables

Given

[tex]p = 3.25b[/tex]

Required

Which of the tables is more expensive than the given function

To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]

Table A:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1,2.75)[/tex]

[tex](b_2,p_2) = (4,11)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]

[tex]m = \frac{8.25}{3}[/tex]

[tex]m = 2.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 2.75 = 2.75(b-1)[/tex]

[tex]p - 2.75 = 2.75b-2.75[/tex]

[tex]p = 2.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.75 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Table B:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1.5,3.75)[/tex]

[tex](b_2,p_2) = (6,15)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]

[tex]m = \frac{11.25}{4.5}[/tex]

[tex]m = 2.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 3.75 = 2.5(b-1.5)[/tex]

[tex]p - 3.75 = 2.5b- 3.75[/tex]

[tex]p = 2.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.5 < 3.25[/tex]

Hence:

This equation is also less expensive than [tex]p = 3.25b[/tex]

Table C:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2,7)[/tex]

[tex](b_2,p_2) = (4,14)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{14 - 7}{4 - 2}[/tex]

[tex]m = \frac{7}{2}[/tex]

[tex]m = 3.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 7 = 3.5(b - 2)[/tex]

[tex]p - 7 = 3.5b - 7[/tex]

[tex]p = 3.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.5 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table D:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2.5,10)[/tex]

[tex](b_2,p_2) = (5,20)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]

[tex]m = \frac{10}{2.5}[/tex]

[tex]m = 4[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 10 = 4(b - 2.5)[/tex]

[tex]p - 10 = 4b - 10[/tex]

[tex]p = 4b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]4 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table E:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (6, 22.5)[/tex]

[tex](b_2,p_2) = (12,45)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]

[tex]m = \frac{22.5}{6}[/tex]

[tex]m = 3.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 22.5 = 3.75(b - 6)[/tex]

[tex]p - 22.5 = 3.75b - 22.5[/tex]

[tex]p = 3.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.75>3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table F:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (7, 21)[/tex]

[tex](b_2,p_2) = (14,42)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{42 - 21}{14 - 7}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p -21 =3(b -7)[/tex]

[tex]p -21 =3b -21[/tex]

[tex]p = 3b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)

Answers

The midpoint of the segment should be (3, -4)

Solve 12-5x-4kx=y for x

Answers

Answer:

x  = - y-12/5+4k

Step-by-step explanation:

Solve 12-5x-4kx=y for x

12-5x-4kx  =  y for x

substract 12 from both side

   -5x-4kx  =  y-12

Factor of -5x-4kx = -x(5+4k)

   -x(5+4k) =  y-12

Solve for x

             -x =  y-12/(5+4k)

Therefore x = - y-12/5+4k

Please Help!!!

A.) What is the perimeter of this triangle?
b.) If the perimeter is 90 what is x?

Answers

Answer: 12.5

Step-by-step explanation:

Miamor wanted to make note cards by cutting pieces of paper in half.
Before starting she got seven more pieces to use. When she was done she
had 28 half pieces of paper. With how many full pieces did she start?

Answers

Answer: 14 pieces

Step-by-step explanation:

Let the number of pieces of paper she had at first be x.

Before starting she got seven more pieces to use. This can be written as:

= x + 7

When she was done she had 28 half pieces of paper. This can then be written as:

x + 7 = (28 × 1/2)

x + 7 = 14

x = 14 - 7

x = 7

Since x = 7, she started with:

= x + 7

= 7 + 7

= 14 pieces

Question in picture. Will mark brainleist if correct.

Answers

Answer:

the answer is A

Step-by-step explanation:

i need help pleaseee❤️

Answers

Answer:

A"(2,11) B"(0,5) C" (4,3)

Step-by-step explanation:

Solve absolute value equation 2|x-3|-8=2

Answers

Answer:

[tex]x=8, -2[/tex]

Step-by-step explanation:

[tex]2|x-3|-8=2[/tex]

[tex]2|x-3|=10[/tex]

[tex]|x-3|=5[/tex]                               [tex]|x-3|=-5[/tex]

[tex]x-3=5[/tex]                                [tex]x-3=-5[/tex]

[tex]x=8[/tex]                                      [tex]x=-2[/tex]

PLEASE ANWSER
POR FAVOR

Answers

Sorry the picture won't load for me I'm not sure if it's just my wifi.

If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show

Answers

Answer:

3.125 pounds

Step-by-step explanation:

Digital scale would show weights in decimal form

3 1/8 = 3.125 pounds

Evaluate. 68.14 + 0.0007

Answers

Answer:

68.1407 us the answer

Step-by-step explanation:

Just add

(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)

Answers

Answer:

2x  4  +3x 3  +x  2  −5x−18

Step-by-step explanation:

Please help ASAP!!!!

Answers

a negative times a negative is a positive, and a negative times a positive is equal to a negative. I’ve never used that program so if that what u need help with sorryyy

What can you triple and then subtract by 1 to get 29

Answers

Answer:

10 would be the answer :)

In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?

Answers

90 x .80= 72. 72 Students like hot choco, therefore 8 do no like hot choco

Answer: 18

Step-by-step explanation:

90 / 10 = 9 (10%)

9 x 8 = 72 (80%)

90 - 72 = 18 (20%)

if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?

Answers

Answer:

I believe there is something wrong with ur question.

It's 2 one with a topping and one with out

Order 2/3, 2/9, 5/6, 11/18 from least to greatest.

Answers

Answer:

2/9, 2/3, 8/11, 5/6.

You are given a set of data with a mean of 50 and standard deviation of 8. Using the normal curve, give an example of an outlier and explain why.

Answers

Answer:

Anything less than 26, and greater than 74.

Step-by-step explanation:

In normal distribution, the outlier is more than e ≈ 2.72 standard deviations above quartile 3, and e standard deviations below quartile 1. These quartiles are divisions that make up what is known as the innerquartile range(IQR). Which defines the variability of a data set given by IQR = Q3-Q1.

Given that the mean of this data is 50, and the standard deviation is 8.

Our outliers are anything less than 26, and anything greater than 74. Since outliers are anything outside the mean plus and minus the standard deviation times 3

[tex] outliers :/ = :/ mean :/ \pm [/tex]

PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.

Answers

Answer: 25 I believe

Answer:

  25

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . for a≠0

__

  [tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]

what is the sum of the place values of the number 6,453​

Answers

Answer:

Thousands Hundreds Tens Ones

          6                      4                    5             3

Step-by-step explanation:

Number x Multiplier = Value

   6           x         1,000            6,000

   4           x           100              400  

   5           x            10                       50

   3           x             1                        3

Add up all of the values and you get 6,453.

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

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