Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?

Answer:

12kr^7

Step-by-step explanation:

a) The point on the curve where the tangent is horizontal is at t = 0.

b) The points where the tangent is vertical are at t₁ = -5 and t₂ = 5.

To find the points on the curve where the tangent is horizontal, we need to find the values of t that satisfy dy/dt = 0.

a.) Differentiating y = 3(t² - 75) with respect to t, we get:

dy/dt = 6t

Setting dy/dt = 0, we have:

6t = 0

t = 0

Therefore, when t = 0, the tangent is horizontal.

b.) To find the points where the tangent is vertical, we need to find the values of t that satisfy dx/dt = 0.

Differentiating x = t(t² - 75) with respect to t, we get:

dx/dt = 3t² - 75

Setting dx/dt = 0, we have:

3t² - 75 = 0

t² = 25

t = ±5

Therefore, the points where the tangent is vertical are when t = -5 and t = 5, with t₁ = -5 and t₂ = 5.

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The question is -

Consider the curve given by the parametric equations

x = t (t²-75) , y = 3 (t²-75)

a.) Determine the point on the curve where the tangent is horizontal.

t=

b.) Determine the points t_1,t_2 where the tangent is vertical and t_1 < t_2.

t_1=

t_2=

Answer:

b

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jxbehbebdbdhdhehiwkwnsbgdue

Step-by-step explanation:

hdjsjebndjciwkbdvdbsjuss

Answer:

34

Step-by-step explanation:

10 x 3 = 30

30 + 4 = 34

34 is the answer.

Answer:

10×3+4

=30+4

=34

hope this helps you

Answer:

→ 11x = 1 232 → x = 112 → y = 154 – 112 = 42 Los números son 112 y 42

Answer:

107 cars

Step-by-step explanation:

Answer:

107 cars

Step-by-step explanation:

10+7+5+9+11+26+44=107

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

If the function f(x) = 5 + 3x and g(x) = 5 - 9x. The value of f(g(2))  is -34

The given functions are

f(x) = 5 + 3x and g(x) = 5 − 9x.

a. We plug-in 2 in the function g(x) and then the obtained image in the function

f(x)g(2) = 5 − 9 × 2

           = 5 - 18

           = -13

f(g(2)) = f(-13)

        = 5 + 3 × (−13)

        = 5 - 39

        = -34

b. We find the composite function by replacing x in f(x)  by  

g(x) f(g(x)) = 5 + 3g(x)

                = 5 + 3 × (5−9x)

                = 5 + 15 − 27x

f(g(x)) = 20 − 27x

f(g(2)) = 20 − 27 × 2

         = 20 − 54

         = -34

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Answer:

65 yards in miles is 0369318

Answer: 8/5

Step-by-step explanation:

2/5 * 4 = (2*4)/5 = 8/5

Answer:

1/10

Step-by-step explanation:

2/5÷1/4=2/5×4/1=2/5×4/1=1/10

The probability distribution that would be used in this scenario is the binomial distribution.

The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials, given a known probability of success in each trial. In this case, the number of successes is owning stocks, the number of trials is 10 people, and the probability of success is one in four adults owning stocks.

In this case, the probability that exactly three out of ten people own stocks, given that one in four adults own stocks, you would use the binomial probability distribution. The reasoning for this is because the binomial distribution is used when there are a fixed number of trials (in this case, 10 people), each trial has only two possible outcomes (owning stocks or not owning stocks), and the probability of success (owning stocks) is the same for each trial (1 in 4 or 0.25).

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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Answer:

C because the y-intercept is 2

Step-by-step explanation:

Hope this Helped

The probability that the customer will default. is 0.2337.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

P(missing one month payment | not default) = 0.21

P(missing one month payment | default) = 1

P(missing one month payment) = P(missing one month payment | default) * P(default) + P(missing one month payment | not default) * P(not default)

= 1 * 0.03 + 0.21 * 0.97

= 0.2337

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Answer:

24 and 30

Step-by-step explanation:

The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:

x + y = 54

The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:

y - 6 = x

Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:

x + y = 54

y - 6 + y = 54

Combine like terms:

2y - 6 = 54

Now we can solve for y:

2y - 6 = 54

Add 6 to both sides of the equation to isolate the 2y:

2y = 60

Divide both sides by 2 to find the value of y:

y = 30

Now that we know the value of y, we can solve for x:

y - 6 = x

30 - 6 = x

24 = x

The value of the two numbers is 24 and 30.

Answer:

.................

Step-by-step explanation:

The answer is 5.

Answer: 3 Miles

Step-by-step explanation:

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

its B!! happy yo help!

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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The answer the the problem is 11

The measure of the side RS from the figure is 4.6 units

Midpoint theorem of a trapezium

The given figures are trapezoid. Given the following parameters

PQ = 4RS

We need to determine how PR is equivalent to 4.6

Since PQ = 18.4 from the diagram, hence;

18.4 = 4RS

RS = 18.4/4

RS = 4.6 units

Hence the measure of the side RS from the figure is 4.6 units

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The cosine of 0 degrees is equal to 1, the time required to fly from point P to point B in the elliptical orbit is equal to zero.

The formula for the time required to fly from point P to point B in an elliptical orbit is given by the following equation:

{tex}t = \frac{T}{\pi}{\cos ^{ - 1}}(\frac{{e + \cos \theta }}{{1 + e\cos \theta }}){/tex}

Where T is the period of the orbit, e is the eccentricity of the elliptical orbit, and θ is the angle between the major axis and the radius vector of point P. The angle θ is not given in the question, so we assume that θ is equal to 0 degrees.

Since the eccentricity of the elliptical orbit is given to be 0.5, we can substitute e = 0.5 into the equation above to obtain:

{tex}t = \frac{T}{\pi}{\cos ^{ - 1}}(\frac{{0.5 + \cos 0}}{{1 + 0.5\cos 0 }}){/tex}

The cosine of 0 degrees is equal to 1, and the denominator in the expression above is equal to 1.5. Substituting these values into the equation above gives:

{tex}t = \frac{T}{\pi}{\cos ^{ - 1}}(\frac{{0.5 + 1}}{{1.5}}){/tex}

Evaluating the term in the bracket gives:

{tex}\frac{{0.5 + 1}}{{1.5}} = \frac{{1.5}}{{1.5}} = 1{/tex}

Therefore, the equation becomes:

{tex}t = \frac{T}{\pi}{\cos ^{ - 1}}(1){/tex}

The cosine of 0 degrees is equal to 1, and this can be written as:

{tex}{\cos ^{ - 1}}(1) = 0{/tex}

Substituting this into the equation above gives:

{tex}t = \frac{T}{\pi}(0){/tex}

Since the cosine of 0 degrees is equal to 1, the time required to fly from point P to point B in the elliptical orbit is equal to zero.

Answer: 0

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer: hey, there

your answer is 5/6

Step-by-step explanation:

=

2

6

+

1

2

=

1

3

+

1

2

=

2

6

+

3

6

=

2+3

6

Answer:

5/6

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/6, 1/2) = 6

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(26×11)+(12×33)=?

Complete the multiplication and the equation becomes

26+36=?

The two fractions now have like denominators so you can add the numerators.

Then:

2+36=56

This fraction cannot be reduced.

Therefore:

26+12=56

Solution by Formulas

Apply the fractions formula for addition, to

26+12

and solve

(2×2)+(1×6)6×2

=4+612

=1012

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2

10÷212÷2=56

Therefore:

2/6+1/2=5/6

(hope this helps can i plz have brainlist :D hehe)