Answer:
Interés compuesto:
El tiempo entre dos fechas en las que los intereses se agregan al capital se llama periodo
de capitalización, y el número de veces por año en que los intereses se capitalizan se llama
frecuencia de conversión y de denota con la “p”.
A la frecuencia de conversión se le conoce también como frecuencia de capitalización de
intereses.
P = 1 Para periodos anuales, los intereses se capitalizan cada año.
P = 2 Si los periodos son semestrales
P = 3 Para periodos cuatrimestrales.
P = 4 Para periodos trimestrales.
P = 6 Cuando son periodos bimestrales
P = 12 Para periodos de un mes.
P = 13 Si los periodos son de 28 días.
P = 24 Para periodos quincenales
P = 52 Para periodos semanales
P = 360 0 365 Si son periodos diarios.
M = Ceit
M = C(1 + i / p)tp
Donde:
t = periodo en años
tp = es el número de periodos
i = La tasa de interés anualizada en “p” periodos por año.
Ejemplo: Inversión de un capital para monto preestablecido. (Villalobos, 2007, pág. 171)
a) ¿Qué capital debe invertirse ahora al 12.69% anual capitalizable por bimestre para tener
$40,000 en 10 meses?
b) ¿A cuánto ascienden los intereses?
Datos:
El plazo “t” debe estar en años, por lo que para expresar 10 meses en estas unidades se divide
entre 12, o sea, el número de meses que tiene un año. En consecuencia, el plazo en años es t =
10 / 12. La frecuencia de conversión o capitalización de intereses es p = 6 porque 6 son los
bimestres que tiene un año. Entonces:
tp = (10/12)6 = 5 bimestres.
El monto es M = $40,000, la tasa de interés es i = 0.1269 o 12.69% anual, capitalizable por
semestres, y la incógnita es C, la cual se despeja de la igualdad que resultó de sustituir estos
valores en la ecuación:
Solución:
Fórmula: M = C(1 + i/p)tp
40,000 = C(1 + (0.1269 / 6))5
Apuntes de Matemáticas Financieras Prof. Gerardo Gutiérrez Jiménez
40
40,000 = C(1.02115)5
40,000 = C(1.110318838)
C = 40,000 / 1.110318838
C = $36,025.68797
Solución b) Los intereses son la diferencia entre el monto y el capital:
I = M – C
I = 40,000 – 36,025.69
I = $3,974.31
Ejemplo: Monto que se acumula al invertir un capital.
El capital es C = $65,000, la tasa anual es i = 0.10, la frecuencia de conversión es p = 2 por que
el año tiene dos semestres, t = 3 porque el capital se acumula tres años, el número de periodos
en el plazo es tp = 6, entonces el monto según el teorema es: (Villalobos, 2007, págs. 170-171)
R = $87,106.22
Ejemplo: Tasa de interés para duplicar un capital.
¿Con qué tasa de interés anual capitalizable por bimestres se duplica un capital en 3 años?
(Villalobos, 2007, pág. 172)
R = 23.55%
Ejemplo: Valor presente de un crédito e intereses.
El 25% del precio de un mueble de sala se paga con un documento con valor nominal de $4,000
y vencimiento a 30 días. Un 30% se liquida mediante un pago a 60 días de plazo, otro 30% con
un documento a 90 días de la compra y el 15% restante se dejan como anticipo. Obtenga:
a) El precio del mueble.
b) El anticipo y los otros dos pagos.
c) El cargo total por intereses.
Suponga que la mueblería carga el 22.20% anual compuesto por mes en sus ventas a crédito.
(Villalobos, 2007, págs. 173-174)
Solución inciso a:
C1 = $3,927.344134
Entonces:
Precio = $15,709.38
Solución del inciso b: “el anticipo es el 15% de este precio”.
C2 = 4,712.81
Entonces, el segundo pago es el valor futuro de este capital, es decir:
Apuntes de Matemáticas Financieras Prof. Gerardo Gutiérrez Jiménez
41
M2 = $4,888.80
El valor presente del último pago es igual al del anterior y por tanto, este pago es:
M3 = $4,979.24
Finalmente, solución del inciso c), Los intereses son la diferencia entre el total pagado y el precio
del mueble:
I = $512.07
Note que la tasa de interés global es:
G = 3.2787%
Step-by-step explanation:
Identify the y coordinate for the solution to the system of equations. Solve the system using substitution.
y=2x-11
4x + 3y =-13
Answer:
(2,-7)
Step-by-step explanation:
Plug the first equation into the second equation.
4x+3(2x-11)=-13
4x+6x-33=-13
10x=20
x=2
Now, plug the value of x into one of the equations in order to find y.
y=2(2)-11
y=4-11
y=-7
. Jumbo bought 5 books, each with a whole-number price.
The mean price of the books was $10. The median price was $8.
The most expensive book cost $15 and the cheapest cost $6.
What are the possible prices for the other books?
Mean is average. Multiply total books by the mean to find the total cost:
5x 10 = $50 total.
Subtract the highest and lowest prices to find the total of the remaining 3 books.
50 - 15-6 = 29
The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:
29-8 =21
Now you need a price lower than the median but higher than the lowest cost so that has to be 7
Subtract 7 from 21 to get the cost of the last book 21-7 = 14
The price of the remaining books is $7 and $14
HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n
Assignment: Wed : Finding Unit Rates (7.RP.1, 7. RP.2, 7.RP.2a
Problem ID: PRABDPF7
In
1
10
of an hour, Jane can clean
5
8
of a window.
What is her unit rate in windows per hour?
The Utah Middle School Math Project
The
Answer:
5
Step-by-step explanation:
Help plz................ Easy.......
Step-by-step explanation:
120° because opposite angles of parm are equal
Help meeeee please, I need this pronto, I will award extra points and brainliest
Answer:
532 m ^2
Step-by-step explanation:
18x18 + 1/2x8x 16 + 1/2 x 16 x18
324 + 64+ 144 = 532
Lamar used 7/8 of a cup of raisins to make snacks mix. he used 3/4 of a cup of raisins to make cookies what expression could be used to determine the amount of raisins in cups Lamar used together
A: 7/8 + 3/8
B: 7/8 + 6/8
C: 7/12 + 3/12
D: 11/12 + 11/12
I NEED TO KNOW NOWW PLEASEEE!!!!
Mr. Gray's quiz was normally distributed with a mean of 25 and a standard deviation of 10. Find z-scores for each of the following data values
a. 40
b. 27
c. 6
Answer:
a. 1.5
b. 0.2
c -1.9
Step-by-step explanation:
The computation of the z scores of each of the following data values are as follows:
As we know that
z = (data values - mean)÷ standard deviation
Now
a. The z value is
= (40 - 25) ÷ (10)
= 1.5
b. The z value is
= (27 - 25) ÷ 10
= 0.2
c. The z value is
= (6 - 25) ÷ 10
= -1.9
peyton is going to invest  $310 and leave it in an account for 16 years assuming the interest is compounded quarterly what interest rate to the nearest hundredth of a percent would be required in order for peyton to end up with $530
Answer:
3.35
Step-by-step explanation:
Answer:
3.37
Step-by-step explanation:
What is the percent decrease from 20 to 11?
Answer:
The decrease from 20 to 11 is 9, and that is 45% of 20.
Hope this helps!
If a bag of 12 apples cost $4.20. What is the
cost per apple, or the unit rate?
FAST PLEASE
Answer:
the answer is going to be 0.35 cents to find the answer all you gotta do is divide 4.20 by 12 ☺ ☺ ☺ ☺ ☺
find the value of given expression
[tex] \sqrt{387 \times 387} [/tex]
Answer:
√{387×387}=√387²=387 is your answer
Sara says" If you subtract 12 from my number and multiply the difference by -4 the result is -44. What is Sara's number?
Answer:
23
Step-by-step explanation:
divide -4 by -44 and you get 11, add 12 because 12 was taken away and you get 23. 11+12=23 23-12=11
please help I'm timed
Answer:
60 students-530 Question 1.
Step-by-step explanation:
Please help.
Algebra.
Simplify the expression. Write your answer using only positive exponents.
p^-5
Answer:
1/p⁵
Step-by-step explanation:
GIVING BRAINLIEST
ABC is dilated by a factor of to produce A'B'C'.
What is AB, the length of AB after the dilation? What is the measure of <A?
Answer: The answer is A
Since we are dilating by 1/2 the image must get smaller. Now that we know that you can divide the side lengths by 2 (or multiply by 1/2) to get A'B' equals 17. Angles measures don't change during dilation because it only affects the side lengths, so angle A' is still 28 degrees
Hope this helped you!
Answer:
A
Step-by-step explanation:
yup
I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS THIS QUESTION CORRECT
How many years do you have to wait for an initial value of 30000 dollars to compound interest into one million dollars? (Interest rate: 3.5%)
It would take 100.42 year for you to reach 1 million dollars.
1. What is the rule for the function table? *
That’s the picture can u help me now???
Answer:
A
Step-by-step explanation:
A space ship travels at 24 miles per hour and traveled for 28 hours.
Select the answer that represents how many miles the space ship traveled.
A 212
B 24
C 22
D 232
Answer:
2^4 = 16miles
2^8 = 256hrs
Step-by-step explanation:
16*256=4096
2^12=4096
so you answer is 2^12
evaluate 6m + 1 for m = -2
13
-13
11
-11
-5
Answer:
m= −2 /7
Step-by-step explanation:
Let's solve your equation step-by-step.
6m+1m=−2
Step 1: Simplify both sides of the equation.
6m+1m=−2
6m+m=−2
(6m+m)=−2(Combine Like Terms)
7m=−2
7m=−2
Step 2: Divide both sides by 7.
7m /7 = −2 /7
I NEED HELPPP ON THIS PLZZZ
Answer:
Perimeter of ABCD = 56 units
Perimeter of WXYZ = 140 units
Step-by-step explanation:
To find the perimeter of ABCD, find the sum of all sides
18 + 18 + 10 + 10 = 56
To find the side lengths of WXYZ, use the equation: [tex]\frac{image}{pre-image}[/tex]
45/18 = 2.5
You can also cross multiply to find the missing side lengths, but I'll show you this other way...
Multiply the pre-image side lengths by 2.5
18 × 2.5 = 45
10 × 2.5 = 25
45 and 25 of the new side length of WXYZ
To find the perimeter of WXYZ, find the sum of all sides.
45 + 45 + 25 + 25 = 140
WX = 45, XY = 25, YZ = 45, ZW = 25
GIVING BRAINIEST!
please please please help !
..........the answer is B
Help asap! 20 pooints best answer for both questions
Answer:
Both of them would be D!
Step-by-step explanation:
Hope this helps, sorry if I am wrong.
Hello you have reached a reference page. The first to answer this question will get brainliest and a 5 star review. If it is incorrect you will not get the brainnliest and your answer will be deleted. Here is the question. You will also need to give a very specific explanation.
[tex]x^2-5x+6=0[/tex]
Lennox must make two dentist appointments in November. He writes the numbers from 1 to 30 on papers to represent the days that he could go to the dentist, puts them in a bag, and pulls two papers at random from the bag without replacement. What is the probability that both appointments will be within the first five days of November?
Answer: [tex]\dfrac{2}{87}[/tex]
Step-by-step explanation:
Given
Lennox marks 30 papers to represent the dates
He has to choose two papers marked 1 to 5 to get the appointment within the first five days of November
This can be done in [tex]^5C_2[/tex] ways
The total no of ways is [tex]^{30}C_2[/tex]
Probability is
[tex]\Rightarrow P=\dfrac{^5C_2}{^{30}C_2}=\dfrac{5\times 4}{30\times 29}\\\\\Rightarrow P=\dfrac{2}{87}[/tex]
While shopping Marcy spent $59. If the amount she spent is 25% of her savings, how much savings did she have before she shopped
Answer:
Savings= $236
Step-by-step explanation:
Giving the following information:
Money spent= $59
Proportion of savings= 25% = 0.25
To calculate the total savings before shopping, we need to use the following formula:
Savings= money spent / proportion of savings
Savings= 59 / 0.25
Savings= $236
Find the output, y, when the input, x, is -9.
what is y=
Answer:
hello
the answer is 1
Answer:
1
Step-by-step explanation:
An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?
Answer:
[tex]23^{o}[/tex] and [tex]23^{o}[/tex]
Step-by-step explanation:
An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures 134°, then;
x + x + 134° = [tex]180^{o}[/tex]
2x + 134° = [tex]180^{o}[/tex]
2x = [tex]180^{o}[/tex] - 134°
= 46
x = [tex]\frac{46}{2}[/tex]
= [tex]23^{o}[/tex]
x = [tex]23^{o}[/tex]
The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].