Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si la capitalización es una vez al año Si la capitalización es una vez al mes

Answers

Answer 1

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8


Related Questions

answer and explain step by step please

Answers

Answer:

m∠6 = 110°

Step-by-step explanation:

∠6 and ∠8 are known as corresponding angles meaning they are equal to each other. Since m∠8 = 110°, m∠6 also equals 110°.

Answer:

11o degree

Step-by-step explanation:

angle 6 is 110 degree because the relation between angle 6 and angle 8 is that they are corresponding angles and corresponding angles are always equal.

a park is 9/10 mile long and 4/5 mile wide. What is the area of the park? ENTER ANSWER AS A FRACTION FOR EXAMPLE: 4/10.​

Answers

The park formed like a rectangle so :

Area = length × width

Area = ( 9/10 ) × ( 4/5 )

Area = 9 × 4 / 10 × 5

Area = 9 × 2 × 2 / 5 × 5 × 2

Area = 18 / 25

pls help me solve this

Answers

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

the radius of the cylinder is 6 m and the height is 10 m what's the volume?

Answers

The answer that i got is 1130.97

Find the value of cos F rounded to the nearest hundredth, if necessary.​

Answers

Answer:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Step-by-step explanation:

(x-2)²=9

sqrt both sides

don't forget positive and negative roots

x-2=+/-3

well, she is partially correct

x-2=3 is one answer

she didn't remember the other one the x-2=-3

Part 3 Last part Jim Homework Algebra

Answers

Answers:

11.  D) There appears to be an association between the variables. Since the teams with animal mascots win 74% of their games played and those with another type of mascot only win 49% of their games, the large difference suggests an association.12. A) 913. D) There appears to be an association. Since there is a difference in percentages for modern and classical styles for the type of art.14. D) 59%15. A) 60%

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Explanations:

11. If the columns were identical (or nearly so) then that would suggest there isn't any association. However, the columns are different so it's likely we have association going on. Changing the mascot type appears to have an effect on whether the team wins or loses. In other words, the variables appear to be dependent.12. Let x be the missing value in the table. Solve the proportion x/18 = 27/54 and you should get x = 9. If 9 goes in that table, then it will produce identical row relative frequencies (and identical column relative frequencies as well) which would then lead us to conclude that there probably isn't any association between the variables.13. This is similar to problem 11. The columns being different percentages shows that changing the art style changes the make up of the sculptures and paintings. 14.  There are 37+54 = 91 people who prefer the beach (instead of skiing). Of this total, 54 are away from the coast. So roughly 54/91 = 0.59 = 59% of the beach-goers are away from the coast.15. Same idea as the previous problem. We have 24+36 = 60 people who like to ski, and 36 people are away from the coast. So 36/60 = 0.60 = 60% of the skiers are away from the coast.

A cylindrical juice container has the dimensions shown below.
What is the exact volume of this container in terms of pi?
A. 127 in?
B. 271 in
C. 811 in?
D. 3241 in
9in
3in

Answers

Answer:

[tex]81\pi in(2) [/tex]

81pi

(8k+3) (2k+7)
find the product

Answers

Answer:

16k^2 + 62k + 21

Step-by-step explanation:

We can distribute:

(8k + 3)(2k + 7)

(8k)(2k) + (8k)7 + 3(2k) + 3(7)

Now, we can simplify:

16k^2 + 56k + 6k + 21

16k^2 + 62k + 21

in a class test (+ 5) marks are given for every correct answer and (-3) marks are given for every incorrect answer.

a) Anu gets 8 correct answer and 12 incorrect answers what is her score?
b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.

How many incorrect answers had he attempted?

● Please answer my question and I do not need any links​

Answers

Answer:

a. 4 marks b. 9 questions

Step-by-step explanation:

a) Anu gets 8 correct answer and 12 incorrect answers what is her score?

Since Anu got 8 correct answer and 12 incorrect answers, and + 5 marks is given for every correct answer and (-3) marks are given for every incorrect answer, the total score for correct answers is number of correct answer × marks for correct answer = 8 × (+ 5) = 40.

Also,  the total score for incorrect answers is number of incorrect answer × marks for incorrect answer = 12 × (- 3) = -36.

Anu's total score = total score for correct answers + total score for incorrect answers = 40 + (-36) = 40 - 36 = 4 marks.

So, Anu scored 4 marks.

b) Sam answered all the questions and scored 28 marks though he got 11 correct answers.  How many incorrect answers had he attempted?

Let x be the number of incorrect answers. Since the marks for incorrect answers is -3, then his total score for incorrect answers is -3x.

Since Sam got 11 correct answers and is given + 5 marks for each correct answer, then his total score for correct answers is 11 × (+5) = +55.

Since he gets a total of 28 marks, we have that total score for incorrect answer + total score for correct answer = 28.

So, -3x + 55 = 28

Solving for x, we have

-3x = 28 - 55

-3x = -27

x = -27/-3

x = 9

Since x = 9, Sam attempted 9 incorrect questions.

.

Answer:

He or she attempted 9 incorrect answers

Step-by-step explanation:

write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it ​​

Answers

D is the correct answer

Answer:

D

Step-by-step explanation:

you need to subuce the x-2 and y-6

Which point is located on the x-axis of a coordinate grid?​

Answers

I don't see the grid? did you attach a photo?

There is no coordinate grid, was this connected to another question with the grid? Because without it or without an equation we cannot find the x-axis.

In ΔQRS, the measure of ∠S=90°, QS = 12, RQ = 13, and SR = 5. What is the value of the tangent of ∠R to the nearest hundredth?

Answers

Answer:

2.40

Step-by-step explanation:

From the triangle QRS

RQ is the hypotenuse 13

QS is the opposite = 12

SR is the adjacent = 5

According to SOH CAH TOA

tan <R =  opp/adj

Tan <R = qs/sr

Tan <R = 12/5

Tan <R  = 2.40

A zoo has 1,361 visitors on Saturday and 549 on Sunday. Which is the best estimate of the total number of visitors

Answers

1900 is the answer.                          

UHH HELP ME PLS AND I WILL MARK BRAINLIEST

Answers

Answer:

First option: 3619.1 cubic centimetres

Step-by-step explanation:

Use this formula for figure out the volume of a cone:

[tex]V=\pi r^2\frac{h}{3}[/tex]

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So:

π × 144 × 8 ≈ 3619.1

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Have a good day :)

What is slope? Describe it and provide an real life example.

Answers

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Matthew invests $5,000 at 4% simple interest. About how much interest will he earn in eight months?

Answers

Answer:

P times R times T

5000 times 4 times 8,

divided by hundred.

Therefore the answer is = 160 dollars

help please will be marked as brainliest if correct and first person to respond

Answers

Answer: Unlock code = 76

==========================================================

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

----------------------------

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

----------------------------

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

----------------------------

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

------------------------------

The unlock code is

E+F+G+H = 2+24+21+29 = 76

76 would be the answer and should be the Code for your assignment or problem you needed help with.

What are the solutions to the system of equations graphed below? Select all
that apply.

Answers

Answer:

A solution to a system of equations is the point(s) where they intersect.  Find the ordered pairs where they intersect and you have your answers.

Step-by-step explanation:

I could use some help on this​

Answers

Answer:

the answer is B

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?

Answers

Answer:

(x+7) to the 2nd power + 9

Step-by-step explanation:

a. 4.9
b. 3.7
c. 10.9

Answers

B because the equation

Please help me with this question

Answers

Answer:

Step-by-step explanation:

74+47=x(sum of two interior opposite angle is equal to the exterior angle formed)

121=x

Electron groups could be considered which of the following?
A. Lone-pair electrons
B. Three or more unshared electrons
C. Any atom that's an ion
D. Bonded pairs of electrons

Answers

im pretty sure D bonded pair of electrons is the answer

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

Answer:

The process of solving the inequality will be: -2(5 - 4x) < 6x - 4 8x - 10 < 6x - 4 -6 < -2x x > 3 This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.

what is the slope of (9,9) and (-11,13) ?

Answers

Answer: The answer is -0.2 or -1/5

-2.0 is the answer or -1/5

4. The table shows a proportional relationship between x and y. For each value of sondy
Y
match it to the correct unit rote
in it's simplest form.
**3 and y27
** and y. 81
* 21 and y 128
x 14 and 84
* 12 and y = 36
* 15 and y 45

Answers

Answer:

21 and y128

Step-by-step explanation:

Answer:

i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D

Step-by-step explanation:

big brain :)

Câu 19: Tổng của một số số nguyên dương (không nhất thiết khác nhau) bằng 11. Hỏi tích của chúng có thể đạt giá trị lớn nhất bằng bao nhiêu? A. 40 B. 48 C. 54 D. 96

Answers

Answer:

Lựa chọn A

Step-by-step explanation:

Được

Tổng của hai số nguyên dương = 11

Hai số có thể được chia thành hai phần là 6 và 5 hoặc (7 và 4), (8 và 3), v.v.

Vậy sản phẩm tối đa có thể thu được là 30

Vậy phương án A là giải pháp gần nhất

Answer is 5, but i dont know how to solve it ​

Answers

Answer:Extract the formula for the height of a rectangular-based pyramid using your knowledge of algebra. H = V / (L x W) / 3. For instance, V = 60 cubic cm, L = 4 cm and W = 6 cm.

Step-by-step explanation:

Find the interquartile range of the data.

84,75,90,87,99,91,85,88,76,92,94

Answers

Answer:  IQR = 8

IQR is shorthand for interquartile range

=========================================================

Explanation:

The original list is {84,75,90,87,99,91,85,88,76,92,94}

It sorts to {75,76,84,85,87,88,90,91,92,94,99}

Pick out the middle most value, which is 88 in slot 6. A quick way to get here is to see that there are n = 11 values in this set. So n/2 = 11/2 = 5.5 which rounds to 6, and that tells us the slot number where the median is held. If n is an even number, then you'll need to use the midpoint formula for the two middle-most items.

After we determine the median is 88, we split the sorted data set as follows:

L = {75,76,84,85,87}

U = {90,91,92,94,99}

Everything in set L is below the median. L for lower.

Everything in set U is above the median. U for upper.

Sets L and U have 5 items each. Note that 5+1+5 = 11 = n.

-------------

The median of set L is 84, so Q1 = 84

The median of set U is 92, so Q3 = 92

Q1 and Q3 are the first and third quartiles respectively. Subtracting them gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 92 - 84

IQR = 8

The IQR helps give us a sense how spread out the data set is. It's similar to the range, which is found by range = max - min. The larger the (interquartile)range, the more spread out the data set will be.

PLEASE DO THIS I WILL MARK U AS BRAINLIEST
PLEASE

Answers

Answer:

Since -15/16 does not equal -16/15, the statement is verified/true.

Step-by-step explanation:

Plug in the numbers for the variable:

-3/4 ÷ 4/5 =/ 4/5 ÷ -3/4

Copy dot flip:

-3/4 × 5/4 =/ 4/5 × -4/3

Multiply numerators and denominators separately:

-3 × 5 / 4 × 4 =/ 4 × -4 / 5 × 3

-15 / 16 =/ -16/15

-15/16 =/ -16/15

-15/16 does not equal -16/15.

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