Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?

Answers

Answer 1

Answer:

Se requiere 34 meses para producir un interés de 8700 soles.

Step-by-step explanation:

Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Capital inicial, en soles.

[tex]C[/tex] - Capital actual, en soles.

[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].

[tex]t[/tex] - Período de capitalización, en años.

Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:

[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]

[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]

[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]

[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]

[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]

[tex]t = 2.782\,yr[/tex]

Es decir, se requiere 34 meses para producir un interés de 8700 soles.


Related Questions

I'll give brainliest to the best answer if you help me with the image down below!

Includes: an explanation please

Answers

Answer:

3 Pounds

Step-by-step explanation:

2.82 rounded to the nearest whole number is 3.

If we wanted to round 2.82 to 2, it would have to be 2.49 or less

What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)

Answers

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]

Pls answer……………………..

Answers

Answer:

Step-by-step explanation:

J and k are parallel if

angle 1 = angle 4 (vertically opposite angles)

angle 2 + angle 5 = 180 degree (being co interior angles)

angle 4 = angle 5 (being alternate interior angles)

angle 1 = angle 5 (being corresponding angles)

Answer:

2 and 5 are co - interior angles

1 and 3 are corresponding angles

1 and 4 are alternate

6 and 8 are corresponding angles

Step-by-step explanation:

The rectangle has length 4.5cm and width 2.8cm. Work out the area ​

Answers

Answer:

11/1//11/1

Step-by-step explanation:

Area of rectangle= l x b
= 4.5 x 2.8
= 12.6 cm^2

Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?

Answers

Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

whats 3x+34+23y=
frezz

Answers

Answer:

3x+34+23y, You can not add in this equation as there are no like numbers.

Step-by-step explanation:

Answer:

isnt it 60xy

Step-by-step explanation:

Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simple interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.

the answer is 1078 .
(But how ) ​

Answers

Answer:

bat puro math pede history lng

the bag of skittles has 3 parts red skittles , 5 parts yellow skittles and 7 parts orange skittle. Represent this ratio three ways;visually, using ratio notation and using fraction notation

Answers

Step-by-step explanation:

Given that,

The bag of skittles has 3 parts red skittles, 5 parts yellow skittles and 7 parts orange skittle.

Ratio notation is= 3:5:7

Frction notation,

Red skittle[tex]=\dfrac{3}{3+5+7}=\dfrac{1}{5}[/tex]

Yellow skittle [tex]=\dfrac{5}{3+5+7}=\dfrac{1}{3}[/tex]

Orange skittle [tex]=\frac{7}{3+5+7}=\dfrac{7}{15}[/tex]

Hence, this is the required solution.

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50, 7, point, 50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60

Whats the Inequality

Answers

Answer:

7.50 + 14x < 60

x < 3.75

Step-by-step explanation:

Let

x = number of pizzas ordered

Delivery fee = $7.50

Cost per pizza = $14

Total cost should be less than $60

The inequality

7.50 + 14x < 60

14x < 60 - 7.50

14x < 52.5

x < 52.5/14

x < 3.75

No Docs/No Files only real answer
5-star rated and I will give a brainliest

Answers

A seen it on the test

Answer:

question a is technically 7.5 and question b is 7.5

Step-by-step explanation:

half half

How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.

Answers

Answer: [tex]\dfrac{15}{64}[/tex]

Step-by-step explanation:

Given

Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]

Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]

Area of outside region is [tex]A_1=\pi (8^2)[/tex]

Area of inside region [tex]A_2=\pi (7)^2[/tex]

Area of shaded region [tex]A_1-A_2[/tex]

Probability that point lies inside the shaded region is

[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]

in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?​

Answers

Answer:

36 boys

Step-by-step explanation:

let x be the number of pupils in the class , then

[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )

3x + 120 = 5x ( subtract 3x from both sides )

120 = 2x ( divide both sides by 2 )

60 = x

Then

number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36

A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery

Answers

Answer:

The power is 1.68 W.

Step-by-step explanation:

Voltage, V = 3 V

charge, q = 0.56 C

time, t = 1 s

Let the power is P.

P  = V q /t

P = 3 x 0.56 / 1 = 1.68 W

14. Which is the first step in solving: X - 1/3 = 1/3 ?*​

Answers

Answer:

Step-by-step explanation:

In this case "solving" involves isolating the variable, x, on the left side of this equation.  

Starting with x - 1/3 = 1/3, we add 1/3 to both sides.  This results in:

x = 1/3 + 1/3, or x = 2/3.

Please answer i will give brainliest

Answers

Answer:

sorry bro......sis

Step-by-step explanation:

don,t know its answer

Radian=degree/57.3 = 26/57.3 = 0.45 rad

Degree= radian x 57.3 = 5π/9 x 57.3 = 100.007 degree

I hope that helps and wish you the best !!

NEED HELP FAST ILL MAKE BRAINLIEST

Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.

Explain the flaw in Jenna's reasoning.

Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.

Answers

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.

A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).

Which statement is supported by the graphs?

Answers

Answer:

it's AAAAAAAAAAAAAAAAAAA

Answer:

It's A <3

I took the test. ^^

What is the range of the relation (-2, 4), (3,-2), (1, 0), (5,5)?

A. {-2, 3, 1,5}
B. {4,-2, 0,5}
C. {-2, 4, 5, -2}
D. {-2,-1, 0, 5}

Is it D?

Answers

Answer:

A.{-2,3,1,5 } or D. {-2, -1, 0,5}

Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]

Answers

Answer:

202

Step-by-step explanation:

360 - 60+50+48

360-158

= 202

Answer:

The answer would be 49

Step-by-step explanation:

Trust


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which
expression represents how much she will receive in commission from the sale?

Answers


At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. 569 (0.18) represents how much she will receive in commission from the sale.

small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain

Answers

Answer:

Volume of cube = 216

Dimesnions of cuboid = 4 * 6 * x

x = 216 / 24x

x = 9cm

Step-by-step explanation:

Hope this helps... pls vote as brainliest

In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side

Answers

Answer:

10 cm

Step-by-step explanation:

In a right triangle, there are three sides, A, B, and C.

A and B are the short sides, while C is the long side.

So we know that A = 6 cm, and B = 8 cm.

We can then use the Pythagorean theorem which states that

[tex]C=\sqrt{(A^2)+(B^2)[/tex]

Once we plug in the numbers we get

[tex]C=\sqrt{6^2+8^2}[/tex]

[tex]C=\sqrt{36+64}[/tex]

[tex]C=\sqrt{100}[/tex]

C=10 cm

Plz help ASAP I got 10 mins !!!!!

Answers

Answer:

x=5

Step-by-step explanation:

Since the triangles are similar we can use ratios to solve

4.5     7.5

---- = ------

3            x

Using cross products

4.5x = 3 * 7.5

4.5x = 22.5

Divide each side by 4.5

x = 22.5/4.5

x=5

Last question, so please help me out ASAP!

Answers

Answer:

5/18

Step-by-step explanation:

conditional probability formula:

A|B (a given b)  = (A∩B)/(B)

so

Moderate|college (moderate given college)= (moderate∩college)/college

moderate∩college= 15

college= 11+15+28= 54

15/54= 5/18

I need help fast please!!!!

Answers

Answer:

f translates right 2 units to get g. sorry about my English

2. Based on the cash flows shown in the chart below, compute the IRR and MIRR for Project Erie. Suppose that the appropriate cost of capital is 12 percent. Advise the organization about whether it should accept or reject the project.

Project Erie

Time 0 1 2 3 4 5

Cash Flow $12,000 $2,360 $4,390 $1,520 $980 $1,250


Answers

Answer:

IRR = -5.19%

MIRR =  3.33%

The company should reject the project

Step-by-step explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be calculated with a financial calculator

Cash flow in year 0 = -$12,000

Cash flow in year 1 = $2,360

Cash flow in year 2 =  $4,390

Cash flow in year 3 = $1,520

Cash flow in year 4 = $980

Cash flow in year 5 = $1,250

IRR = 5.19%

The modified internal rate of return is a capital budgeting method used to determine the profitability of an investment. The MIRR assumes that cash inflows are reinvested at the firm's cost of capital and outflows are financed at the firm's financing cost.

MIRR = (Future value of a firm's cash inflow / present value of the firm's cash outflow)^ (1/n)  - 1

n = number of years

present value of the firm's cash outflow = $12,000

Future value of a firm's cash inflow

Future value of year 1's cash flow = $2,360 x (1.12^4) = $3,713.51

Future value of year 2's cash flow =$4,390 x (1.12^3) = $6167.63

Future value of year 3's cash flow =$1,520  x (1.12^2) = $1906.69

Future value of year 4's cash flow = $980 X 1.12 = 1097.60

Future value of year 5's cash flow = 1250

Add the future values together = $14,135.43

($14,135.43 / $12,000)^0.2 - 1 = 3.33%

The project should be rejected because the IRR is negative.  

To find the IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

What is the area? Bit confused on this one.

Answers

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

Answer:

For the blue one:

A1=length*breadth

   =3*3x^2

   =9x^2

For pink:

A2=length*breadth

    =3*4x

    =12x

So the total area is:

A=A1+A2

  =9x^2+12x

Help me please ASAP

Answers

ans is c it is simple c only meet the need of questions

Find x . Please and thank you

Answers

Answer:

x = 6

Step-by-step explanation:

In similar triangles,  corresponding sides are in same ratio

[tex]\frac{x+3}{3}= \frac{6}{2}\\\\ \frac{x+3}{3}=3\\\\x+3 = 3*3\\\\x+3 = 9\\\\x = 9-3\\\\x = 6[/tex]

Michelle invested $10,000 for one year, part at 8% interest and the rest at 12% annual interest. Her total interest for the year was $944. How much money did she invest at 12% interest?

Step by step please.

Answers

Answer:

Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

Step-by-step explanation:

Given that Michelle invested $ 10,000 for one year, part at 8% interest and the rest at 12% annual interest, and her total interest for the year was $ 944, to determine how much money did she invest at 12% interest, the following calculation must be done:

10,000 x 0.08 + 0 x 0.12 = 800

8,000 x 0.08 + 2,000 x 0.12 = 880

4,500 x 0.08 + 5,500 x 0.12 = 1,020

6,000 x 0.08 + 4,000 x 0.12 = 960

6,500 x 0.08 + 3,500 x 0.12 = 940

6,400 x 0.08 + 3,600 x 0.12 = 944

Therefore, Michelle invested $ 6,400 at 8% and $ 3,600 at 12%.

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