a) Una deuda total de $ 4837.65 en un período de amortización debe ser pagada en seis trimestres.
b) Se requiere aproximadamente 42 trimestres para pagar la misma deuda.
¿Cómo determinar el valor final a pagar y el tiempo requerido de amortización?En este problema tenemos dos casos de préstamos bajo un modelo de interés compuesto, léase un caso acumulativo de intereses en el tiempo, en función de períodos definidos. La persona que recibe el préstamo se hace acreedora de una deuda, la cual debe ser amortizada en el tiempo. Ahora, bien, el modelo de interés compuesto se describe bajo la siguiente fórmula:
D' = D · (1 + r / 100)ˣ
Donde:
D - Deuda inicial, en unidades monetarias.D' - Deuda final, en unidades monetarias.r - Tasa de interés, en porcentaje.x - Número de períodos de amortización, en unidades de tiempo.a) Si sabemos que D = 1500, r = 5 y x = 24, entonces:
D' = 1500 · (1 + 5 / 100)²⁴
D' = 4837.65
La persona debe pagar una deuda total de $ 4837.65 en un período de amortización de seis trimestres (nótese que un año tiene cuatro trimestres).
b) Es preciso determinar el período equivalente para una tasa de interés compuesta anual de 12 %, esto es:
D' = D · (1 + r /100)ˣ
㏒ (D' / D) = x · ㏒ (1 + r / 100)
㏒ D' - ㏒ D = x · ㏒ (1 + r / 100)
x = (㏒ D' - ㏒ D) / [㏒ (1 + r / 100)]
x = (㏒ 4837.65 - ㏒ 1500) / [㏒ (1 + 12 / 100)]
x = 10.332 años (aprox. 42 trimestres)
El período de amortización es de aproximadamente 42 trimestres.
Para aprender más sobre interés compuesto: https://brainly.com/question/23137156
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How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt
Solve for r 5r^2+5=130
Answer:
Simplifying
5r2 + 5 = 130
Reorder the terms:
5 + 5r2 = 130
Solving
5 + 5r2 = 130
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 5r2 = 130 + -5
Combine like terms: 5 + -5 = 0
0 + 5r2 = 130 + -5
5r2 = 130 + -5
Combine like terms: 130 + -5 = 125
5r2 = 125
Divide each side by '5'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5
a bag contains 10 white,4 red, 3 blacK balls find the fraction of a) white bal b) blac ball c) red balls
Answer:
white=10/17
red=4/17
black=3/17
hope it helps you
please mark me as brainlist
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
Which ones are true and false? 5th grade problem. Correct answer will be marked brainliest.
Answer:
1. True
2. True
3. False
Step-by-step explanation:
1. As long as a few of the animals reproduce the species should survive unless a terrible tragedy were to happen and all of the species lie with a d because their food ran out or their predators Drilled with a k them all. Honestly I am not sure about this question that much an even though these are fifth grade problems I am in fifth grade right now so yeah.
2. I did a quick search about this and I also used some of my logic and it would not make since if animals were to hang out in dry vernal pools. Unless there are animals out in the world that like living in stead plants and dried up water it would not make much since to choose false.
3. Scientists knowledge are growing every day so it is impossible to know everything about one subject because there is always more to learn.
What additional information would be enough to prove
the triangles are similar? Choose all that apply:
A. ZH ZE
B. EF bisects LHFG
C.ZG = ZH
if I play rock paper scissors what is the probability of my friend will not throw paper
Answer:
2/3 chance
Step-by-step explanation:
3 different things they could do, 1 is paper.
3-1=2
-0.5 how do I write the repeating decimal as a fraction?
Answer:
-1/2
Step-by-step explanation:
I need this done in 10mins
Answer:
Socko gained 3/5 kg from month 1 to month 2.
Step-by-step explanation:
Socko mass was 3/10 kg in month 1 and 9/10 kg in month 2.
The amount of mass he gained is k.
3/10 + k = 9/10
Subtract 3/10 from both sides.
k = 6/10
Reduce the fraction.
k = 3/5
Answer: Socko gained 3/5 kg from month 1 to month 2.
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!
btw im giving out 100 points and a brainlest so make sure to answer correctly.
Answer:
10
Step-by-step explanation:
I found the anser by multiplying 5 * 4 = 20, and then multiplying 2 * 2 = 4, then 3 * 2 = 6. Next you add 6 and 4, which equals 10. Finally you subtract 10 from 20 to find your answer of ten.
Hope this helps
Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?
Answer:
peeta is 30 and kat is 20 i think
Step-by-step explanation:
A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile.
Answer:
The value that corresponds to the 75th percentile is 16.35.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A normal distribution has a mean of 15 and a standard deviation of 2.
This means that [tex]\mu = 15, \sigma = 2[/tex]
Find the value that corresponds to the 75th percentile.
This is X when Z has a pvalue of 0.75. So X when [tex]Z = 0.675[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 15}{2}[/tex]
[tex]X - 15 = 2*0.675[/tex]
[tex]X = 2*0.675 + 15[/tex]
[tex]X = 16.35[/tex]
The value that corresponds to the 75th percentile is 16.35.
Can anyone answer this please
Answer:
A) 1
f(g(1)) = 1
Step-by-step explanation:
Step(i):-
Given that the functions are f(x) and g(x)
f(x) = 3√x +1
and y = g(x)
put x=1 ⇒ y = g(1) = 0 ( from graph 1 is mapping '0')
Step(ii):-
f(g(1) = f(0)
= 3√0 +1 (∵f(x) = 3√x +1)
= 1
f(g(1)) =1
A dealer gained a 10% profit by selling an article for Birr 330.00. what was original price of the article
Answer:
???????
Step-by-step explanation:
Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?
Answer:
23952
Step-by-step explanation:
Answer:
23952
Step-by-step explanation:
so you would multiply 998 by 24 to get the answer
Melanie purchases 6 basketballs and 2 volleyballs for $114. A volleyball cost her $3 less than a basketball. How much did each volleyball cost?
Answer:
a volleyball is $16.5
Step-by-step explanation:
6b+2v= 114
v=b-3
6b+2(b-3)= 114
6b + 2b - 6
8b - 6 = 114
8b = 108
b= 13.5
substitute b in
6(13.5) + 2v = 114
81 + 2v = 114
2v = 33
v= 16.5
At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.
Answer:
Your answer
56100 per person
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
pLeAsE HuRrY Lol what’s 1+1=
There are 2 answers to this question
First Answer:
1+1=2
Second Answer:
Window
Explanation:
1 goes on the top
1 goes on the bottom
The first - of the = goes on the side
The second - of the = goes on the other side
The + sign goes in the middle
Heres a picture example:
I hope this helps you have a good day/night/afternoon
3. Solve for x.
(x-2)(x+ 8) = 0
Answer:
x = 2, x = -8
Step-by-step explanation:
Since the equation equals 0, you know either (x-2) or (x+8) has to equal 0.
This means x = 2, and x = -8
Hope this helps!
Melissa made a school banner that is 3 yards long in a 11 over 12 yards wide what is the area of the banner
Answer:
2 3/4
Step-by-step explanation:
So area is just base X height
3 X 11/12
2 3/4
Determine the vertex of the function f(x) = 3x2 – 6x + 13. 1. Identify the values of a and b. a = and b = 2. Find the x-coordinate of the vertex. = 3. Find the y-coordinate by evaluating the function at the x-value found in the previous step. The vertex is.
Answer:
a = 3
b = -6
-b/2a = 1
The vertex is (1, 10)
the radius of a circle is 2 kilometers. What is the circles circumference. Use 3.14 for pie
Answer: 12.56
Step-by-step explanation:
Given the function rule f(x) = x2 - 5x + 1, what is the output of f(-3)? (1 point)
7
-5
25
5
50 points Type the correct answer I’m the box
Simpify the expression.
5+4z-2z
Simpilfied expression
Answer:
2z + 5
Step-by-step explanation:
you have to combine like terms
subtract 4z - 2z and you get 2z
the number with the variable next to it goes first not the constant
2z + 5
the variable is z and the constant is 5 because it doesn't have variable next to it
hope this makes sense and helps :)
tell me if you have any questions
Step-by-step explanation:
Here as the like terms only are 4z and -2z so,
We simplify the like terms:
5 + 4z - 2z. [B.O.D.M.A.S rule] (subtraction only)
= 5 + 2z (Ans)
enter a negative number that is greater than -10.
btw this is iready
Answer:
5 6 7 8 9 10 All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9
Step-by-step explanation:
With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.
Step-by-step explanation:
One fifths the difference between 2/5 and 1/2
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10
1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5
/10 - 4/10 =
1/10 / 5 =
1/50
Hope that helps!
PLs help me I will give brainliest please dont answer if you don’t know
Answer:
Interest earned will be $1,118.00
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 6500 x .043 x 4
Which data set COULD NOT be represented by the box plot shown? es ) A) {12, 5, 10, 7, 8, 14, 7, 10, 4, 13,9} B) {8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13) 0) 14,513, 8, 8, 10, 9, 11, 12, 7.41 D) {6, 4.7.9.8, 8, 12, 10, 12, 13, 13}
Answer: the answer is D
Step-by-step explanation: jus got it right on usa test prep :))
The data set which could not be represented by the box plot is
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
Option D is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
From the box plot,
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
Now,
Arrange the number in order.
A)
{12, 5, 10, 7, 8, 14, 7, 10, 4, 13, 9}
= {4, 5, 7, 7, 8, 9, 10, 10, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
B)
{8, 12, 7, 8, 4, 9, 10, 12, 6, 14, 13)
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
C)
{14, 5, 13, 8, 8, 10, 9, 11, 12, 7, 4 }
= {4, 5, 7, 8, 8, 9, 10, 11, 12, 13, 14}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 14
Minimum = 4
D)
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13}
= {4, 6, 7, 8, 8, 9, 10, 12, 12, 13, 13}
Median = 9
Lower quartile = 7
Upper quartile = 12
Maximum = 13
Minimum = 4
Thus,
{6, 4, 7, 9, 8, 8, 12, 10, 12, 13, 13} is not represented by the box plot.
Learn more about median here:
https://brainly.com/question/28060453
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Choose the letter of the correct answer. Write your answer on the line before the number at the back
page write your solution.
1. Which of the following is NOT an algebraic expression?
A. 7x + y
B. 3(m-n)
C. 8+3=1
Da + b
2. Find the value of (1 - 5)2.
A. 36
B. 16
C. -16
D. -36
25
3. Evaluate:
22
A. 64
B. 32
C. 16
D. 8
4. In the expression, m2 - 3, if m= -2, then m-3 = ?
A.-7
B.-1
C. 1
D. 7
5. What is the value of 12 + 13?
A.1
B. 2
C. 3
D.5
6. If x = -2, what is the value of -5x2 ?
A. -20 B. -10 C. 10
D. 20
Answer:
1. C
2. -8 (there are no choices for this)
3. (no question here)
4. -5 (there are no choices for this)
5. 25 (there are no choices for this)
6. D
Step-by-step explanation:
Answer:
i dot know
Step-by-step explanation: