3. Un negociante tiene un capital de 40 000 soles y piensa guardarlo por un periodo de 2 años. Tiene dos propuestas de bancos. Banco A: 1,5 % bimestral. Banco B: 0,5% mensual. ¿Cuál de las dos propuestas le conviene?, ¿Cuánto interés recibirá en la entidad más conveniente? (7 puntos) Alternativas

Answer: 8/15, 15/8

Step-by-step explanation:

By the Pythagorean theorem, the length of the unknown side is

\(\sqrt{17^{2}-8^{2}}=15\)

So, the tangents of the acute angles are \(\boxed{\frac{8}{15}, \frac{15}{8}}\)

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

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Answer:

2y+6

Step-by-step explanation:

3y-y = 2y

So therefore...

2y+6

Answer:

true

Step-by-step explanation:

4(1) - 1 = 3

2(1) + 7 = 9

9 is greater than 3.

Answer:

35

Step-by-step explanation:

18+17=35

Answer:

you can download app called symbolab

Answer:

5/32a¹³b i think

Step-by-step explanation:

the limit of f (x) g(x) exists as x!0 is exist.

what is function existance ?

The EXISTS function returns a Boolean value to indicate whether a list contains at least one element.

let,

f(x)  =  1    at x=Q

also, f(x)  = -1  at x=Q'

now, g(x)  = -1  at x = Q

also, g(x) = 1 at x = Q'

Here,

\(\lim_{n \to \infty} f(x)\)      and \(\lim_{n \to \infty} g(x)\)   does not exist.

but,    f(x) + g(x)  =  (f+g)(x) = 0 at x = Q and also at x = Q'

⇒  (f+g)(x) = 0 ∀ x∈IR

⇒   \(\lim_{n \to \infty} (f+g)(x)\)  = 0 exist.

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Step-by-step explanation:

I hope this helps.......

The solution to the given differential equation \(\(xy' - y = y^2\)\) that satisfies the initial condition (y(1) = -7) is (y = -7x).

To solve the given differential equation \((xy' - y = y^2)\) with the initial condition (y(1) = -7), we can use the method of separable variables.

First, we rearrange the equation by dividing both sides by \(\(y^2\):\)

\(\[\frac{xy'}{y^2} - \frac{1}{y} = 1\]\)

Now, we separate the variables and integrate both sides:

\(\[\int \frac{1}{y}\,dy = \int \frac{1}{x}\,dx + C\]\)

where (C) is the constant of integration.

Integrating the left side gives:

\(\[\ln|y| = \ln|x| + C\]\)

Next, we can simplify the equation by exponentiating both sides:

\(\[|y| = |x| \cdot e^C\]\)

Since (C) is an arbitrary constant, we can combine it with another constant,\(\(k = e^C\):\)

\(\[|y| = k \cdot |x|\]\)

Now, we consider the initial condition (y(1) = -7). Substituting (x = 1) and (y = -7) into the equation, we get:

\(\[-7 = k \cdot 1\]\)

Therefore, (k = -7).

Finally, we can write the solution to the differential equation with the initial condition as:

[y = -7x]

where (x) can take any value except (x = 0) due to the absolute value in the solution.

The solution to the given differential equation that satisfies the initial condition (y(1) = -7) is (y = -7x).

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The probabilities of picking an A, a B or a C is given as follows:

167/210.

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.

For each event, the probabilities in this problem are given as follows:

To find the or probability, we add the probabilities of the desired outcomes, hence:

P(A) + P(B) + P(C) = 1/5 + 3/7 + 1/6 = (42 + 90 + 35)/210 = 167/210.

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Answer:

Step-by-step explanation:

In step 2, -3x was added to both sides in accordance with the addition property of equality.

The same property lets you add 18 to both sides, as in step 3.

The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)

Swapping sides of the equal sign is allowed by the symmetric property of equality.

I got m 7/3 I think that's the answer

15/50 = 0.3, or 30%.

Answer:

0.3, or 30%

Step-by-step explanation:

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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The smallest possible value of the perimeter of a triangle with one side given can be obtained when the other two sides are minimized. In this case, the other two sides should be as small as possible to minimize the perimeter. Therefore, the smallest possible value of the perimeter of the triangle would be equal to twice the length of the given side.

1. Let's assume that one side of the triangle is 'x'. The other two sides can be represented as 'y' and 'z'.

2. To minimize the perimeter, 'y' and 'z' should be as small as possible.

3. In this case, the smallest possible value for 'y' and 'z' would be zero, which means they are degenerate lines.

4. The perimeter of the triangle would then be 'x + y + z' = 'x + 0 + 0' = 'x'.

5. Therefore, the smallest possible value of the perimeter would be equal to twice the length of the given side, which is '2x'.

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The gain or loss, based on the reevaluation of the currency and the amount changed, is loss of NRs 55, 000.

First, find the amount of American dollars that the businessman changed the currency to :

= 1, 100, 000 / 110

= $ 10, 000

The Nepali currency was revaluated by 5 % which meant that in relation to the dollar, it became :

= 110 x 0. 95

= NRs 104. 50

The amount that the man changed the dollars back to was :

= 10, 000 x 104. 50

= NRs 1, 045, 000

The loss was :

= 1, 100, 000 - 1, 045, 000

= NRs 55, 000

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Answer:

A

Step-by-step explanation:

Answer:

Explanation:

Given the equation of the line as;

We can express y in terms of x by subtracting x from both sides of the equation;

Let the point on the line be P(x, y)

We'll use the below distance formula to determine the distance between point P(x, y) to the given point (6, 8) as seen below;

Answer:

2 and 3

Step-by-step explanation:

the x-intercept is 2

the y-intercept is 3

The smallest possible value of doughnuts in each box is 2. The smallest possible value of doughnuts in each box is 2.

In order for Donna to rearrange the remaining doughnuts into bags so that each bag contains the same number of doughnuts and none are left over, the number of doughnuts in each box must be divisible by the number of bags. Since there are no doughnuts left over, this means that the number of doughnuts in each box must be a multiple of the number of bags.

To find the smallest possible value, we need to find the smallest common multiple of the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 (since there are 9 possible numbers of bags). The smallest common multiple of these numbers is 2, so the smallest possible value of doughnuts in each box is 2.Therefore, the smallest possible value of doughnuts in each box is 2.

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Answer:

Step-by-step explanation:

Substitute values and solve for Tc:

Correct choice is B

Answer:

X = 12.645 round to 12.7

Step-by-step explanation:

∆LMN ~ ∆OPQ

so the coresponding side ratio are proportional

LM/OP = LN/OQ

LM/OP = LN/OQ49/OP = 31/8 ... the u solve x

X = 12.645 round to 12.7

Answer:

95

Step-by-step explanation:

We know the measure of angle 4 is 85, therefore the measure of angle 2 is also 85.

Measure 2 is equal to measure 6, therefore measure 6 also equals 85, measure 8 equals measure 6 giving it the measure of 85.

Now the sum of angles 5 and 7 must equal 190, given we have two 85 degree angles, and the other two are equal, they must sum to 190, since they are equal we will divide 190 into 2, making angles 5 and 7 have a measure of 95.

Answer: 95°

Step-by-step explanation: With 2 parallel lines cut by a transversal, the following conditions are true.

Alternate interior angles are congruent. <4 and <6 are alternate interior angles, and so are <3 and <5.

Corresponding angles are congruent. Corresponding angles are angles that are in the same position in one line as the other. <1 and <5 are corresponding angles, and <4 and <6 are congruent. <2 and <6 are congruent, and <3 and <7 are congruent.

Vertical angles are congruent. Angles that are directly diagonal on the same line are congruent. <5 and <7, and <6 and <8 are examples of this.

Supplementary angles are, well, supplementary. By definition, two angles that are supplementary add up to 180°. Supplementary angles are angles that are on the same line and transversal, but not vertical angles. Rather, the angles are right next to teach other.

Alternate exterior angles are congruent. Alternate exterior angles are angles that are like alternate interior angles, but both share a position on the outside (and are diagonal.) The alternate exterior angles are <2 and <8, and <1 and <7.

Now that we have all definitions and conditions at hand, this will be easy.

If m<4 is 85°, and we want m<5, then we can see that <4 and <3 are supplementary angles. So by definition, <4 + <3 = 180°. We can substitute in <4 since we know it. We get 85° + <3 = 180°. Subtracting 85° from both sides, we get <3 = 95°.

Now we see <3 and <5 are alternate interior angles. By definition they are congruent. Thus, m<5 is 95° too.

Hope this helped!

(If my post was helpful, please mark it as Brainliest.)

Answer:

When rounding to 1 significant figure, we keep the first non-zero digit and drop all the remaining digits. In this case, the first non-zero digit is 2, so we keep that and drop all the remaining digits:

a) 276040 rounds to 3 x 10^5 (or 300000 in standard form).

So the rounded number to 1 significant figure is 3 x 10^5.

Answer:

No

Step-by-step explanation:

Since x=1 produces y=−2 and y=−3, the relation (1,−2),(1,−3),(2,1),(3,−2) is not a function.

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).

We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0

Therefore, the ball will hit the ground at the points (0,0) and (3,0).

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By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.

In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.

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