Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue de $100.000. Cuánto dinero le debe al banco??

Answer:

564643

Step-by-step explanation:

Answer:

In the real number system, there is no solution to the equation x^2=-1x

2

=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.

The backbone of this new number system is the number iii, also known as the imaginary unit.

i^2=-1i

2

=−1i, squared, equals, minus, 1

\sqrt{-1}=i

−1

​

=isquare root of, minus, 1, end square root, equals, i

By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i

5

​

i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.

However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−

2

​

i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.

Defining complex numbers

A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.

\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}

a

↑

Real

part

​

+

​

bi

↑i

Imaginary

part

​

\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.

The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.

Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts

7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.

4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd

9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd

-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd

Step-by-step explanation:

plz brian list and allways happy to help.

Answer:113

Step-by-step explanation:

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)

The third quartile of in the box plot given is : 56 pounds

The third quartile of the data as represented in the box plot given :

39 pounds

The interquartile range(IQR) of ken's data = 56 - 39

= 17 pounds

Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.

Find more information about the interquartile range here

https://brainly.com/question/4102829

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Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer:

When the coefficient of the variable is negative, as shown below,

Step-by-step explanation:

2-4y>14

-4y>14-2

-4y>12, divde through by - 4

y>-3

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

hope it helps.

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

Answer:

1/4

Step-by-step explanation:

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 12

Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12

Hope that helped!!

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

D. It is the sum of the data divided by the number of pieces of data

Step-by-step explanation:

It's also known as the average of the numbers in a data set.

What is the definition of mean?

[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]

[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

18

Step-by-step explanation:

colored: white

3           :8

We have 48 white papers so multiply each side by 6

colored: white

3*6       :  8*6

18               48

There are 18 colored papers

Answer:

C)  18

Step-by-step explanation:

3/8 = c/48

cross-multiply to get:

8c = 144

c = 18

Answer:

please provide an image so we know what to solve

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

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The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower