On average, students typically borrow around $6000 per semester after using other financial aid, including grants and scholarships. Assume that you attend a four year college to receive your Bachelor’s Degree. Assume while in college you are not required to pay off your loan yet, and the interest will NOT compound.

How much do you owe right after graduation without interest? Show calculations (please and thank you :))

Answer:

She can make 6 batches of brownies

Step-by-step explanation:

The rules of the calculation are:

The complete question is added as an attachment

The equation is given as:

0.738 × 0.28 = 0.20664

When approximated, we have:

0.738 × 0.28 ≈ 0.21

The above approximation can mean any of the following:

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Answer:

9 . (4)

10 . 17

Step-by-step explanation:

Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

R and Z

Step-by-step explanation:

A point that "touches" the circle once.

The triangle has infinite solutions. Answer: Infinite solutions

Given, Angle a = 44°Side a = 15Side c = 20

We know that the length of any side of a triangle must be less than the sum of the other two sides.

Using this inequality on sides a and c, we get;20 - 15 < b < 20 + 15 ⇒ 5 < b < 35

Therefore, there are infinite possible values for side b.

So, the triangle has infinite solutions. Answer: Infinite solutions

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Answer:

-(x-10)=7

-x+10=7

-x=7-10

-x=-3

x=3

Answer:

y= -1.5x+2

Step-by-step explanation:

Answer:

I believe thats Sam Houston

Answer:

Samuel Houston

Step-by-step explanation:

Answer:

6a + 2

Step-by-step explanation:

2 ×3a = 6a 2×2 = 4

it gives 6a + 4

(If this is wrong, it would be better to attach an image)

Answer: \(\frac{4}{3}\) or about 1.333

Step-by-step explanation:

    We will use the "keep, change, flip" method to solve. Keep the first number the same, change the division to multiplication, and flip the second number so we have the reciprocal.

\(\displaystyle \frac{\frac{5}{8} }{\frac{15}{32} } \,\,\,\,\text{ becomes } \,\,\,\,\frac{5}{8} *\frac{32}{15} =\frac{5*32}{8*15} =\frac{160}{120} =\frac{4}{3}\)

Answer: 4/3

Step-by-step explanation:

find the reciprocal of the divisor

15/32

32/15

Now multiply it with the dividend

5/8

15/32

=5/8

32/15

=5/32

8/15

=160/120

after reducing the fraction the answer is 4/3

in mix form 1 1/3

Answer:

slope = 4/1 or 4

Step-by-step explanation:

(2, 14)

(1, 10)

Formula = \(\frac{y^2-y^1}{x^2-x^1}\)

14-10 over 2 -1

4/ 1 = 4

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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To find the amount of the 1.6 thousand gallons left at the end of the week, we need to determine the demand for the week and subtract it from the initial stock.

First, let's define the function h(x) as the amount left when the demand is x.

1. Identify the demand function for the week. This information is missing in your question, but let's assume it is given as d(x).

2. Calculate the demand for the week by evaluating the function d(x) at the end of the week. Let's assume the week is represented by the variable "t". Evaluate d(t) to find the demand for the week.

3. Subtract the demand for the week from the initial stock to find the remaining amount: h(t) = 1.6 thousand gallons - d(t).

4. Round your answer to three decimal places to get the final result.

Without the specific demand function, I cannot provide a numerical answer.

However, you can follow these steps with the given demand function to find the amount of the 1.6 thousand gallons expected to be left at the end of the week.

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In this simulation experiment, the population distribution represents the lifetimes of a certain type of electronic control and the density curve in the figure represents the population distribution.

The distribution is skewed and follows a lognormal distribution with an expected value of ln(X) equal to 3 and a variance of ln(X) equal to 0.16. The experiment consisted of 500 replications and examined different sample sizes: n = 5, n = 10, n = 20, and n = 30.

The density curve in the figure represents the population distribution, with an expected value of E(A) equal to 21.7584 and a variance of V(X) equal to 82.1449. The histograms shown illustrate the distribution of sample means for the different sample sizes. Additionally, a normal probability plot from MINITAB is included for the x-values based on a sample size of n = 30, allowing for an assessment of the normality assumption for the sample means.

These visual representations provide valuable insights into the characteristics of the simulated experiment's population distribution, as well as the behavior of the sample means for different sample sizes.

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The complete question is:

Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449].

(a) With 10 rectangles using left endpoints, 5 rectangles are contributing negative area values to the estimated net area. This means that the function is below the x-axis in those intervals.

The remaining 5 rectangles are contributing positive area values, as the function is above the x-axis in those intervals.

When using midpoints, the number of positive and negative rectangles may not be the same. It depends on the behavior of the function within each subinterval. The use of midpoints can result in a different distribution of positive and negative rectangles compared to using left endpoints.

(b) The error when using midpoints with 10 subintervals can be determined by calculating the difference between the estimated net area using midpoints and the actual net area.

To calculate the error, we need to evaluate the definite integral of the function over the given interval and subtract the estimated net area using midpoints.

Error = Actual Net Area - Estimated Net Area using Midpoints

Since the exact values are not provided, the specific error value cannot be determined without further information or calculations.

Using left endpoints with 10 rectangles, 5 rectangles contribute negative area values and 5 contribute positive area values. When using midpoints, the distribution of positive and negative rectangles may differ. The error when using midpoints can be calculated by subtracting the estimated net area using midpoints from the actual net area, but the exact error value cannot be determined without further information or calculations.

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Answer:

B

Step-by-step explanation:

To obtain the Maclaurin series for the function f(x) = 7x cos(1/8(x^2)), we can expand the cosine function in a Maclaurin series and then multiply it term-by-term with the series expansion for x.

The Maclaurin series expansion for the cosine function is given by:

cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...

To find the Maclaurin series for f(x) = 7x cos(1/8(x^2)), we substitute (1/8(x^2)) into the cosine series and multiply it term-by-term with the series expansion for x.

By substituting (1/8(x^2)) into the cosine series and multiplying it by the series expansion for x, we obtain the Maclaurin series for f(x):

f(x) = 7x[1 - (1/2)((1/8(x^2))^2) + (1/4!)((1/8(x^2))^4) - (1/6!)((1/8(x^2))^6) + ...]

Simplifying and collecting like terms, we can express the Maclaurin series as an infinite series:

f(x) = 7x - (7/2)((1/8)^2)(x^4) + (7/(4!))((1/8)^4)(x^8) - (7/(6!))((1/8)^6)(x^12) + ...

This Maclaurin series provides an approximation of the function f(x) = 7x cos(1/8(x^2)) around the point x = 0.

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Step-by-step explanation:

15x - 31 = 9x + 11

6x =42

x = 7

15(7) - 31 = 9(7) + 11

74 = 74

74 × 2 = 148

180-148=32

The value of the principal investment is given as follows:

$5,725.90.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for this problem are given as follows:

t = 15, A(t) = 12065.51, r = 0.05, n = 4.

Hence the principal can be obtained as follows:

P(1 + 0.05/4)^(4 x 15) = 12065.51

2.1072P = 12065.51

P = 12065.51/2.1072

P = $5,725.90

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m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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The Complete Question is attached below.

Answer:

10 US liquid quarts is 0.334201 cubic feet.          

Hicksian demand functions are:x1** = 2P₁x₂ ; x₂** = P₂²

Utility function: u(x1+x2) = .5ln(x1) + .25ln(x₂) .The Marshallian demand functions are: x1* = - and x₂* = P₂.

The indirect utility function is found by substituting Marshallian demand functions into the utility function and solving for v(P₁, P₂, Y).u(x1*,x2*) = v(P₁,P₂,Y) ⇒ u(-, P₂) = v(P₁,P₂,Y) ⇒ .5ln(-) + .25ln(P₂) = v(P₁,P₂,Y) ⇒ v(P₁,P₂,Y) = - ∞ (as ln(-) is not defined)

Thus the indirect utility function is undefined.

Minimum expenditure function can be derived from the Marshallian demand function and prices of goods:

Exp = P₁x1* + P₂x2* = P₁(-) + P₂P₂ = -P₁ + P₂²

Minimum expenditure function is thus:

Exp = P₁(-) + P₂²

Hicksian demand functions can be derived from the utility function and prices of goods:

H1(x1, P1, P2, U) = x1*H2(x2, P1, P2, U) = x2*

Hicksian demand functions are:

x1** = 2P₁x₂

x₂** = P₂²

If there are no restrictions on the amount of money the consumer can spend, the Hicksian demand functions for x1 and x2 coincide with Marshallian demand functions.

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The attached image represents the foci of the hyperbola

The equation of the hyperbola is given as:

\(\frac{x^2}{625} - \frac{y^2}{3600} = 1\)

Rewrite as:

\(\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1\)

A hyperbola is represented as:

\(\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1\)

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

\(c = \sqrt{a^2 -b^2}\)

This gives

\(c = \sqrt{60^2 -25^2}\)

Evaluate

\(c = \pm \sqrt{2975}\)

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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Answer:

-2/6 or -1/3

Step-by-step explanation:

Answer:

Difference

Step-by-step explanation:

The Difference of boys and girls in the school coyld change the ratios

Answer:

6:40pm

Step-by-step explanation:

60-41 = 19

46-19=27 ---> finished playing basketball at 3:27pm

60-27=33

54-33=21 ----> finished swimming at 5:21pm

21+19=40 ----> finished dinner at 6:40pm

Answer:

6:40

Step-by-step explanation:

You need to add the minutes each time separately, starting at the result of the last addition problem.

The remainder when f(x) = 3x³ + 24x² − 45x − 162 is divided by (x + 8) is 198.  

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Therefore, the remainder when f(x) = 3x³ + 24x² - 45x - 162 is divided by (x + 8) is as follows:

The dividend is x + 8.

Hence, let's Set the dividend to 0

x + 8 = 0

x = -8

Substitute x = - 8 in f(x) = 3x³ + 24x² - 45x - 162

f(-8) = 3(-8)³ + 24(-8)² - 45(-8) - 162

f(-8) = - 1536 + 1536 + 360 - 162

f(-8) = 198

Therefore, the remainder is 198.

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The calculated price of a 17 min phone call is$2.55

From the question, we have the following parameters that can be used in our computation:

The price of a 8 min phone call is $1.20

using the above as a guide, we have the following:

8 min = $1.20

Multiply both sides of the equation by 17

So, we have

17 * 8 min = $1.20 * 17

Divide by 8

17 min = $1.20 * 17/8

Evaluate

17 min = $2.55

Hence, the price of a 17 min phone call is $2.55

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