Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89.

How much money does Rosa spend altogether?

Answer:

$1,763.25 X 6 = $10,579.50  

$10,579.50 X 1.045^3 = $12,072.97  

$12,072.97 - $4,360.00 = $7,712.97  

The balance after the withdrawal is $7,712.97  

Interest lost in one month is:  

$4,360.00 X 4.5% / 12 = $16.35

Answer: $16.35

The balance amount after 3 years with APR is B = $7,712.97

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.

Given data ,

Let the principal amount be A = $ 1,763.25

Now , the number of months n = 6 months

So , the amount in 6 months = 6 x A

The amount in 6 months = $ 10,579.50

And , the APR = 4.59 %

So , the amount after 3 years with APR = $ 10,579.50 ( 1.045 )³

The amount after 3 years with APR = $ 12,072.97

And , the withdrawal amount = $ 4,360.00

So , balance amount after 3 years with APR is B = amount after 3 years with APR - withdrawal amount

On simplifying , we get

B = $ 7,712.97

Hence,  the balance amount is B = $ 7,712.97

To learn more about annual percentage yield click :

https://brainly.com/question/28495077

#SPJ2

Company B charges $25 x miles than company A.

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

For Company A ,

Flat charge= $30.50

Charge per mile = 9 cents

For Company B,

Flat charge= $55.50

Charge per mile =  13 cents

Cost from company A = $30.50 + 9c x

Cost from company B = $55.50 + 13c x

Company B cost - Company A cost = $55.50 + 13c x - ($30.50 + 9c x) = $25 x miles.

Learn more about miles here: brainly.com/question/1089303

#SPJ1

The solution to the equation 91 = 29^x is approximately x ≈ 1.08.

To solve for x in equation 91 = 29^x, we need to isolate the variable x. Here's the step-by-step process:

Add 150 to both sides of the equation to get rid of the constant term:

91 + 150 = 29^x + 150

Simplify the equation:

241 = 29^x + 150

Subtract 150 from both sides:

241 - 150 = 29^x

Simplify further:

91 = 29^x

Now, we can solve for x by taking the logarithm of both sides of the equation with base 29. Using the logarithm property log_b(a^c) = c * log_b(a), we have:

log_29(91) = x

Using a calculator or logarithm table, we can find that log_29(91) ≈ 1.08.

Therefore, the solution to the equation 91 = 29^x is approximately x ≈ 1.08.

To learn more about equation

https://brainly.com/question/29174899

#SPJ8

Answer:

To find the percent markup, we can use the following formula:

Markup = (selling price - cost price) / cost price * 100

We know that the department store buys 100 shirts at a cost of $1,200 and sells them at a selling price of $20 each.

Markup = ($20 - $12) / $12 * 100

Markup = $8 / $12 * 100

Markup = 2/3 * 100

Markup = 67%

So the percent markup is 67%.

Answer:

The time that the rocket will hit the ground is after 2.78 seconds.

Step-by-step explanation:

You know that the height (H) is given by the formula H= −16*t² + v*t+ h

A rocket is launched directly from the side of a 40 m high cliff and that the initial velocity is 30 m / sec. So this indicates that the value of v is 30 m / sec and h is the height of 40 m.  Replacing this value in the formula you get:

H= −16*t² + 30*t+ 40

You must find the moment when the rocket will hit the ground, that is, the moment when the height H is zero:

0= −16*t² + 30*t+ 40

To calculate the time t the expression is used:

\(\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}\)

Being the general quadratic equation ax² + bx + c = 0, in this case a=-16, b=30 and c= 40. Replacing:

\(\frac{-30+-\sqrt{30^{2}-4*(-16)*40} }{2*(-16)}\)

Solving:

\(\frac{-30+-\sqrt{900+2,560} }{2*(-16)}\)

\(\frac{-30+-\sqrt{3,460} }{2*(-16)}\)

\(\frac{-30+-58.82 }{2*(-16)}\)

Then:

\(t1=\frac{-30+58.82 }{2*(-16)}\)  or  \(t2=\frac{-30-58.82 }{2*(-16)}\)

Solving for t1:

\(t1=\frac{28.82 }{2*(-16)}\)

\(t1=\frac{28.82 }{-32}\)

t1=-0.9

Solving for t2:

\(t2=\frac{-88.82 }{2*(-16)}\)

\(t2=\frac{-88.82 }{-32}\)

t2=2.78

Since the time cannot be negative, the time that the rocket will hit the ground is after 2.78 seconds.

Time cannot be negative therefore, the correct answer is (t = 2.78) and this can be determined by using the given data.

Given :

When a rocket hit the ground that means, H = 0 and the equation becomes:

\(-16t^2+30t+40=0\)

\(t = \dfrac{-30\pm\sqrt{(30)^2-(4\times -16\times 40)} }{2\times -16}\)

\(t=\dfrac{-30\pm58.82}{-32}\)

t = -0.9, 2.78

Time cannot be negative therefore, the correct answer is (t = 2.78).

For more information, refer to the link given below:

https://brainly.com/question/21835898

If for the exam the high score was 98 points and low score was 53 points , then the approximate bin width for the data is 9 points but might round up width to 10 for easier interpretation .

The Class Width for the frequency distribution is defined as the difference between the upper or lower class limits for a consecutive classes in a bin frequency table .

the number of students in the class is = 50 students ,

the high score of the exam was = 98 points ,

the low score of the exam was = 53 points .

the number of bins(classes) = 5 .

the class width is = ( high score - low score)/number of classes ,

class width = (98 - 53)/5

= 45/5

= 9 points .

Therefore , the class width for the data is 9 points .

Learn more about Class Width here

https://brainly.com/question/29027902

#SPJ4

Answer:

Step-by-step explanation:

isosceles triangle

solve for x:

JK = KL

8x = 13x - 15

15 = 13x - 8x

15 = 5x

x = 3

solve for y:

180 = 76 + 2(5y - 3)

180 - 76 = 10y - 6

10y = 110

y = 11

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ4

Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

Answer:

A.1

Step-by-step explanation:

those jelly beans are big.. its either 1 or 10 like 17cm is as long as your hand(just your hand and fingers not ur arm)

so A.

The reasonable upper limit of the bean jar is the same as the height of the jar so it will be 17cm so none of the given options will be correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

The volume of cuboid = length × height × width.

The volume of the cube = side³.

Given a jar with a square base

Length = 12.5 cm

Width = 12.5cm

Height = 17 cm

The jelly beans will cover all heights of the jar so the maximum height of the jelly will be the same as the height of the jar.

Hence "The reasonable upper limit of the bean jar is the same as the height of the jar".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ2

This is simple:

= 4x - 2y = 8

Put x = 0

= 4 ( 0) - 2 y = 8

= 0 - 2y = 8

= -2y = 8

= y = 8/-2

= y = - 4

So, the solution will be ( 0, -4)

= y = ½ x + 2

Put x = 0

= y = ½ × 0 + 2

= y = 0 + 2

= y = 2

So, the solution will be ( 0, 2 ).

if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7  + i)

The roots of the polynomial function are given as:

-9 and 7 - i

The root is 7 - i is a complex number.

This means that its conjugate must also be a root of the factor.

The conjugate of 7 - i is 7 + i

So, we have:

x = 7 + i

Equate to 0

x - (7  + i) = 0

Hence, the other factor of the function is x - (7  + i)

Read more about polynomial functions at:

https://brainly.com/question/2833285

#SPJ4

Answer:

A on edge 23

Step-by-step explanation:

trust me bro

Answer:

enough pages to make the teacher like them

Step-by-step explanation:

Answer: 7 units right and 1 unit down/ J(-3, 1), F(-2, 3), N(-2, 0)

                              J(-3, 1) = J'(4, 0)

                              F(-2, 3) = F'(5, 2)

                              N(-2, 0) = N'(5, -1)

Step-by-step explanation:

If you want to translate a point 7 units right, you'll need to add 7 to its x-coordinate. If you want to translate a point 1 unit down, you'll need to subtract 1 from its y-coordinate. Do both of these things to perform a translation 7 units right and 1 unit down.

So, we can write,

            7 units right means add the +7

             1 unit down means subtract the -1

Then,

                  J(-3, 1) = J'(-3 + 7, 1 - 1)

                  J(-3, 1) = J'(4, 0)

                  F(-2, 3) = F'(-2 + 7, 3 - 1)

                  F(-2, 3) = F'(5, 2)

                  N(-2, 0) = N'(-2 + 7, 0 - 1)

                  N(-2, 0) = N'(5, -1)

Therefore,

These points to make sure they have shifted 7 units right and 1 unit down.

   7 units right and 1 unit down/ J(-3, 1), F(-2, 3), N(-2, 0)

                              J(-3, 1) = J'(4, 0)

                              F(-2, 3) = F'(5, 2)

                              N(-2, 0) = N'(5, -1)

Learn more about event correlation here: brainly.com/question/1869196

#SPJ9

The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

You can learn more about t-test at

https://brainly.com/question/6589776

#SPJ11

Answer:

A.

Step-by-step explanation:

Answer:

80v

Step-by-step explanation:

Multiply the numbers: 12 * 4 = 48

=48v + 8 * 4v

Multiply the numbers: 8 * 4 = 32

=48v + 32v

Add similar elements: 48v + 32v = 80v

Answer: 80v

Step-by-step explanation:

5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer

Answer: 23.53

Step-by-step explanation:

We have, 170% × x = 40

or,

170

100

× x = 40

Multiplying both sides by 100 and dividing both sides by 170,

we have x = 40 ×

100

170

x = 23.53

If you are using a calculator, simply enter 40×100÷170, which will give you the answer.

Use the following terms in your answer,

Student question: when the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients.  T/F.

What are the criteria for the limit of the function?                                                                                                                                              The answer is: Always be factually accurate, professional, and friendly. Be concise and do not provide extraneous amounts of detail.

When the degree of the numerator is the same as the degree of the denominator, the limit is equal to the ratio of the coefficients. True. When the degree of the numerator is equal to the degree of the denominator, the limit is equal to the ratio of the coefficients.

This is a basic rule for computing limits of rational functions. To compute the limit of a function when x is approaching a value, substitute x into the function and evaluate it. This is a straightforward approach. It is essential to check whether the limit exists or not. If the limit does not exist, then the function is said to be divergent. If the limit exists, then the function is said to be convergent.

To know more about "CONVERGENT SERIES" refer here:

https://brainly.com/question/15415793#

#SPJ11

If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

You can learn more about GPS receivers at: brainly.com/question/32247160

#SPJ11

Answer:

Area of Circle  = 346.5 cm².

Area of square = 272.25 cm ² .

Step-by-step explanation:

So , 2πR = 66

2 × 22 / 7 × R = 66

R comes out is 21/2 cm .

Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2

= 693 / 2 = 346.5 cm².

If bent into the shape of a square ;

4 a = 66

a = 33/2 . ( Side of a square )

Area of square = a ² = 33×33/4 = 1089/4

= 272.25 cm ² .

The probability of getting an even number on the spinner after one spin is: 1/2

We are given the spinner as shown in the attached image and we see that it has the following numbers:

5, 6, 2 and 3

Now, we want to find the probability of getting an even number for each spin.

The probability is:

Probability = Number of favorable outcomes/Total number of outcomes.

There are two even numbers out of the 4 numbers on the spinner.

Thus:

P(even number) = 2/4 = 1/2

Read more about probability of the Spinner at: https://brainly.com/question/3765462

#SPJ1

so x^2-10=0

we add 10 to both sides of the equation  x^2 = 10

then take the square root of both sides of the equation to eliminate the exponent on the left side  x = ± √10

The complete solution is the result of both the positive and negative portions of the solution. x = √10 ,−√10

the result can be shown in multiple forms

Exact Form :x=√10,−√10x=10,-10

Decimal Form: x=3.16227766…,−3.16227766

The Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

To solve the ODE using the Euler method, we divide the interval into smaller steps and approximate the derivative with a difference quotient. Given that the step size is h = 0.5, we will perform three steps to obtain the numerical solution.

we calculate the initial condition: y(0) = -2.

1. we evaluate the derivative at t = 0 and y = -2:

y' = 3(0) - 10(-2)² = -40

Next, we update the values using the Euler method:

t₁ = 0 + 0.5 = 0.5

y₁ = -2 + (-40) * 0.5 = -22

2. y' = 3(0.5) - 10(-22)² = -14,860

Updating the values:

t₂ = 0.5 + 0.5 = 1

y₂ = -22 + (-14,860) * 0.5 = -7492

3. y' = 3(1) - 10(-7492)² ≈ -2.2395 x 10^9

Updating the values:

t₃ = 1 + 0.5 = 1.5

y₃ = -7492 + (-2.2395 x 10^9) * 0.5 = -1.1198 x 10^9

Therefore, after performing three steps of the Euler method with a step size of h = 0.5, the approximate numerical solution for the ODE is y(1.5) ≈ -1.1198 x 10^9.

Learn more about  Euler method here:

https://brainly.com/question/30459924

#SPJ11

To estimate the value of \(sin^{(-4)}\) using linear approximation, we can choose a small value of sin(x) as our approximation and then substitute it into the expression.

By choosing a small value for sin(x), we can minimize the error in our estimation.

Let's consider the function f(x) = \(sin^{(-4)}(x)\).

To estimate the value of \(sin^{(-4)}\), we can use the linear approximation method. This involves choosing a value of a that produces a small error.

Since sin(x) is bounded between -1 and 1, we can choose a small value such as a = 0 as our approximation for sin(x). Substituting this value into the expression, we have f(a) = \(sin^{(-4)}(0)\).

When x is close to 0, the value of sin(x) is also close to 0. As sin(x) approaches 0, \(sin^{(-4)}(x)\) approaches positive infinity. Therefore, we can estimate \(sin^{(-4)}\)as a large positive number.

In summary, the estimated value of \(sin^{(-4)}\) using linear approximation with a small value of a is a large positive number, approaching infinity.

To learn more about linear approximation visit:

brainly.com/question/30403460

#SPJ11

The shape of the graph changes qualitatively at k = ± 2 and

\(k=\sqrt{(2)\).

The given function is f(x,y) = y-x²+y²+kxy.

The critical points of the function are found by taking the partial derivatives and equating them to zero:

∂f/∂x = -2x + ky = 0

y = 2x/k

∂f/∂y = 2y + kx = 0

y = -kx/2

Substituting y from the first equation into the second equation gives

x = k²x/4, so k² = 4 and k = ± 2.

Therefore, the critical points are (0,0), (2,4), and (-2,4)

We will now examine the critical points to see when the shape of the graph changes qualitatively.

There are two cases to consider:

Case 1: (0,0)At (0,0), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2 0;0 2].

The determinant of the Hessian matrix is -4, which is negative.

Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.

Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is

H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]

=[ -2k 2k;2k 2].

The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).

Therefore, the critical points (2,4) and (-2,4) are local minima when

k > √(2).

Thus, the shape of the graph changes qualitatively at k = ± 2 and

k = √(2).

To know more about critical points, visit:

https://brainly.com/question/33412909

#SPJ11