Rocco borrowed a total of $5000 from two student loans. One loan changed 3% simple interest and the other charged 2.5% simple interest, both payable after graduation. If the interest he owed after I yr was $132.50, deternine the amount of principal for each loan

Step-by-step explanation:

Gosh, this is so easy.

The answer is 40000

Divided by 22

Not possible but will be 1818.18

Answer:

1818.18

Step-by-step explanation:

First multiply 100 with 400 that equals 40,000 then you divide it by 22 that equals 1818.18

The inequality would be: x + 2 > 10.

Th value of x is: x

To solve an inequality is to find the value of the unknown variable. To do this, isolate the variable as you would to a normal equation.

Given the following:

Height = 10

Base = x + 2

The inequality would be:

x + 2 > 10

Subtract 2 from both sides

x + 2 - 2 > 10 - 2

x > 8

The value of x is: 8.

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Answer: $2/child and $4/adult

Step-by-step explanation:

The total fare is $14 for 2 adults and 3 children

x is the child's fare

y is the adults fare

We can say:

1)  3x + 2y = $14

2)  We are told that x = (1/2)y  [each child's fare is 1/2 each adult's fare]

3) use (2) in (1)

  3x + 2y = $14

  3(1/2)y + 2y = $14

 (3/2)y + 2y = $14

  (7/2)y = $14

  y = ($14)*(2/7)

  y = $4/adult

   x = (1/2)y; x = (1/2)(4)

   x = $2/child

Check:  Does 3x + 2y = $14 when x = $2/child and y = $4/adult?

    3x + 2y = $14

    3($2/child) + 2($4/adult) = $14

      $6   +   $8 = $14   YES

Answer:

Payton, our equation looks like y = mx + b with m being the slope and b being the y-intercept. We are given a slope of 3, and if the graph passes through the origin, the y-intercept is 0.

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Answer:

b

Step-by-step explanation:

12x12

11x11

10x10

9x9

8x8

7x7

6x6

5x5

4x4

3x3

2x2

1x1

add em together equal 650

Answer:

kmjuhygtfcv nm,kljihuygbv njmihuygb

Step-by-step explanation:

The height of the office building is 65 meter.

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

If equivalent elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences are inversely proportional.

The shadow  of a 25 m tall flagpole casts is = 10 m.

Let  the height of the office  building = x m.

The  shadow  of a x m tall office  building is = 26 m.

From theory of directly  proportionality:

25 : 10 = x : 26

25/10 = x/26

x = (25/10)×26 = 65

Hence,  the height of the office building is 65 meter.

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Answer: It is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Answer:

She spent 2 and a half hours doing extra work.

The solved given equation is:

x = -8/7, x = 4/3

To solve the given equation (7x+8)(3x-4) = 0, we need to find the values of x that make the equation true. This equation is in factored form, where two expressions are multiplied together to equal zero. According to the zero-product property, if the product of two factors is zero, then at least one of the factors must be zero.

Set the first factor equal to zero and solve for x:

7x + 8 = 0

Subtracting 8 from both sides:

7x = -8

Dividing both sides by 7:

x = -8/7

Set the second factor equal to zero and solve for x:

3x - 4 = 0

Adding 4 to both sides:

3x = 4

Dividing both sides by 3:

x = 4/3

Therefore, the solutions to the equation are x = -8/7 and x = 4/3.

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Answer:

C. 5/4

Step-by-step explanation:

Slope formula is y=mx+b so your slope is m

In your equation y=5/4x-7/4, your slope is where m would be, so 5/4

Answer:

the slope of the equation is 5/4

(a) The point estimate for the population proportion is approximately 0.139.

(b) In this case, the sample size is 540, and as long as the total population is significantly larger than 540 × 20 = 10,800, the assumption of the sampling distribution being approximately normal holds

(c) The 90% confidence interval for the proportion of all customers who experienced an interruption in high-speed service is approximately (0.108, 0.170)

(d) A sample size of approximately 482 would be needed for the estimate to be within 2 percentage points with 98% confidence.

(e) A sample size of approximately 1079 would be needed for the estimate to be within 2 percentage points with 98% confidence, assuming the worst-case scenario of p = 5

a) Point Estimate (phat) = Number of customers who experienced an interruption / Total sample size

Given that 75 out of 540 customers experienced an interruption, the point estimate is

Point Estimate = 75 / 540 ≈ 0.139 (rounded to three decimal places)

b) The sampling distribution of the sample proportion (phat) can be approximated as normal when the sample size is less than 5% of the population size. In this case, the sample size is 540, and as long as the total population is significantly larger than 540 × 20 = 10,800, the assumption of the sampling distribution being approximately normal holds.

c) Confidence Interval = Point Estimate ± (Critical value × Standard Error)

The critical value depends on the desired confidence level. For a 90% confidence level, the critical value is approximately 1.645.

The standard error can be calculated using the formula

Standard Error = √((Point Estimate × (1 - Point Estimate)) / n)

where n is the sample size. Plugging in the values:

Standard Error = √((0.139 × (1 - 0.139)) / 540) ≈ 0.019

Substituting these values into the confidence interval formula:

Confidence Interval = 0.139 ± (1.645 × 0.019)

= 0.139 ± 0.031

= (0.108, 0.170)

d) To determine the required sample size for the estimate to be within 2 percentage points with 98% confidence, we can use the formula:

Sample Size = (Z² × phat × (1 - phat)) / (E²)

where Z is the z-score corresponding to the desired confidence level, that is the point estimate obtained in part (a), and E is the desired margin of error (2 percentage points or 0.02).

For a 98% confidence level, the z-score is approximately 2.33.

Substituting the values:

Sample Size = (2.33² × 0.139 × (1 - 0.139)) / (0.02²)

Sample size = 481.11

e) To determine the required sample size for the estimate to be within 2 percentage points with 98% confidence without using the point estimate obtained in part (a), we need to assume a value for the population proportion. Let's assume a worst-case scenario of p = 0.5, which gives the maximum sample size required.

Using the same formula as in part (d)

Sample Size = (2.33² × 0.5 × (1 - 0.5)) / (0.02²)

Sample Size = 1078.22

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Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

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Answer:

The correct answer is D

Step-by-step explanation:

Answer:

B. The graph is linear because it increases at a constant rate.

Answer:

3) 33 bags

Step-by-step explanation:

she needs 54, but already has 4.5 cubic feet of soil, so really, Maya only needs 49.5 cubic feet of soil.

If each bag contains 1.5 cubic feet of soil, 49.5 feet needed /1.5 feet per bag = 33 bags.

Answer:

2 pieces

Step-by-step explanation:

pieces in all - 20 pieces

each person ate - 2 pieces

Answer:

Hey morelikeemarii !

Answer: Each will eat two pieces

\({ \tt{perimeter = 2(length + width)}} \\ \\ { \tt{p = 2(5 + 4)}} \\ \\{ \tt{p = 2 \times 9}} \\ \\ { \tt{p = 18}}\)

also:

\({ \tt{area = length \times width}} \\ \\ { \tt{ = 5 \times 4 = 20}}\)

• Therefore:

\( \dashrightarrow \: { \tt{ \frac{20}{10} = 2}}\)

The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

When y = 84

X = 9

Step-by-step explanation:

\(\frac{6}{56} = \frac{x}{84} \\\)

To find x, cross multiply by doing (84 x 6) and (56 x X)

You should have 504 / 56x

Divide 504 by 56 to find x.

I think you forgot to mention Susan's current age if not:

x+5

x-4

6x

a. The number of Burger in the first case is 8.

b. The number of drinks will be 6 drinks.

c. The number of burgers is 0.

From the information, Chloe wants to buy food for her friends at the concession stand at a soccer game, the stand sells drinks for $4 and burgers for $3 and she has $32 to spend.

Let drinks = d

Let burger = b

For the first case, he has 2 drinks and need the number of burgers. This will be:

2($4) + 3b = 32

8 + 3b = 32

Collect like terms

3b = 32 - 8

3b = 24.

Divide

b = 24/3

b = 8

Number of Burger = 8 burger

For the second case, there are 4 burgers and we need to know the number of drinks. This will be:

4($3) + 3d = 32

12 + 3d = 32.

Collect like terms

3d = 32 - 12

3d = 20

Divide

d = 20/3 = 6

The number of drinks = 6

For the third case, there are 8 drinks. This will be:

8($4) + d + 32

32 + d = 32.

d = 32 - 32 = 0

The complete table will be:

Drinks Burgers

2. 8

6. 4

8. 0

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Complete question

Chloe wants to buy food for her friends at the concession stand at a soccer game. The stand sells drinks for $4 and burgers for $3. Chloe has $32 to spend and wants to spend it all.

The table shows different possible combinations of drinks and burgers that Chloe could order. Complete the table based on the information below.

Drinks Burgers

2

4

8

To sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we'll need to use a differential equation or system of differential equations. So, to sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we would first draw a slope or direction field for our differential equation. Then, we would start at the point (0, y(0)) and follow the direction of the slope or arrow to sketch the solution for each initial value.
To sketch three solutions with the given initial values, follow these steps:
1. Determine the differential equation you're working with. For example, let's consider the equation y'(t) = y(t). This is just an example, and the process will be similar for other differential equations.
2. Solve the differential equation to obtain a general solution. In our example, the general solution is y(t) = C * e^t, where C is an arbitrary constant.
3. Apply the initial values to find specific solutions:
  a. For y(0) > 0, choose a positive value for C, such as C = 1. The specific solution is y(t) = e^t.
  b. For y(0) = 0, choose C = 0. The specific solution is y(t) = 0.
  c. For y(0) < 0, choose a negative value for C, such as C = -1. The specific solution is y(t) = -e^t.
4. Sketch the three solutions on the same graph:
  a. For y(t) = e^t, draw a curve that starts at (0,1) and increases exponentially as t increases.
  b. For y(t) = 0, draw a horizontal line at y = 0.
  c. For y(t) = -e^t, draw a curve that starts at (0,-1) and decreases exponentially (toward 0) as t increases.
These three curves represent the solutions with the specified initial values. Note that this process assumes you have a specific differential equation in mind. If you have a different equation, just follow the same steps to find and sketch the solutions.

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Hey there!

16 + 2 * 36

= 16 + 36 * 2
= 16 + 36 + 36

= 16 + 2 * 6^2

= 16 + 72

= 88

Thus, your answers could possibly be:

• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

20

Step-by-step explanation:

if m<ABC is = 40 and BD is besector then m<ABD = 20

Answer: 9 inch

Step-by-step explanation:

Given

Distance between city A and city B is 540 miles

Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation

suppose the distance between city A and B on the map is x

\(\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.\)

Therefore, the distance between city A and B is 9 in.

Answer: it soo blurry I did not see it

Step-by-step explanation:

The quadratic function f(x)= 3x2 - 2x + 5 has an average rate of change from x = -2 to x = 0 of - 14.

Qualities and their permutations, theorems and surrounding structures, morphologies and their placements, and locations where they can be encountered are all included in the study of mathematics. The association between a group of inputs, of which each has a related output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Every function has a domain and a requires great, often known as a scope. F is typically used to denote functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on procedures, one-to-one functions, several more functions, within functions, and on functions.

given

The slope formula, (y2-y1)/, states that the average rate of change is the ratio of the change in y to the change in x.

(x2-x1) We have f(x), which is equivalent to byt but instead of y.

f(-2) - f (0)  /   -2

= f(14+4 + 5 ) + 5 / -2

28 / - 2

= -14

The quadratic function f(x)= 3x2 - 2x + 5 has an average rate of change from x = -2 to x = 0 of - 14.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer: let

x = # cans produced

fixed cost = $50,000

variable cost = $8/can

Step-by-step explanation: I am ultimate pro at this