If you need to take out a $30,000 to loan two years before graduating which loan option will result in the lowest overall cost you a subsidized loan with 7.1% interest for 10 years or a federal unsubsidized loan with 6.3% interest for 10 years or a private loan with 7.0% interest and a term for 15 years? How much would you save over the other options? All payments are deferred for six months after graduation and the interest is capitalized

Answer:

60

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

Multiply 10 By 6

The expression is given as,

Rearranging the like terms,

Like terms : Terms that have same power of variable.

Simplifying further,

Thus the result of the given expression is,

Answer:

-8 + 10x^2 - 6x

Step-by-step explanation:

(doesn’t have to be in this order)

1. Combine numbers with the x^2

-3 + 10x^2 - 4x - 5 - 2x

2. Combine regular numbers

-8 + 10x^2 - 4x - 2x

3. Combine numbers with the plain x

-8 + 10x^2 - 6x

The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.

Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.

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Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

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Answer:

130°

Step-by-step explanation:

22x -2 = 21x +4 ; because alternate interior angles are congruent

22x -21x = 4 +2; subtract 21x and add 2 to both sides

x= 6

the angle measure is

22*6 -2 = 130°

Answer:

0

Step-by-step explanation:

48 - 4(12)

48 - 48 = 0

Answer:

The value of x - 4y would be 0.

Step-by-step explanation:

Since x is equivalent to 48, and y is equivalent to 12, you need to replace x and y with those values in order to solve the expression. \(x-4y\) = \(48 - 4 * 12\) = \(48 - 48\) = 0, so that is the correct answer.

The accuracy of this estimation depends on the validity of the assumption of a normal distribution and the knowledge or estimation of the standard deviation.

To determine the probability that the estimate of 15.3 minutes differs from the true average by 2 minutes or more, we need additional information such as the distribution of the data or the standard deviation. Without this information, it is not possible to calculate the exact probability.

However, I can provide a general approach to estimate the probability based on certain assumptions. Let's assume that the distribution of the data follows a normal distribution and the standard deviation is known or can be estimated.

In a normal distribution, the probability of a value falling within a certain range can be determined using z-scores. The z-score represents the number of standard deviations an observation is away from the mean.

To find the probability that the estimate of 15.3 minutes differs from the true average by 2 minutes or more, we would calculate the z-score for a difference of 2 minutes:

z = (2 minutes) / (standard deviation)

Once we have the z-score, we can use a standard normal distribution table or a statistical software to find the corresponding probability associated with the z-score.

It's important to note that the accuracy of this estimation depends on the validity of the assumption of a normal distribution and the knowledge or estimation of the standard deviation.

If you have the necessary information regarding the distribution and standard deviation, please provide those details so that a more precise calculation can be performed.

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Answer:

B

Step-by-step explanation:

Answer: 4

         ______

           _\ _~-\___

   =  = ==(____AA____D

               \_____\___________________,-~~~~~~~`-.._

               /     o O o o o o O O o o o o o o O o  |\_

               `~-.__        ___..----..                  )

                     `---~~\___________/------------`````

                     =  ===(_________D

Answer:

~18.28 ft. / 12 + 2π ft. (Read explanation please!)

Step-by-step explanation:

I) Find the square's perimeter:

Obviously, a square's perimeter is its side length x 4. However, there would be a semicircle on top of it. So, to find it we use:

4 x 3 = 16 ft. (Since 1 of the sides is covered by the semicircle)

II) Find the semicircle's perimeter:

Finding the semicircle's perimeter is a bit more complicated, but no worries! We can use this formula:

πr + 2r (pi x radius + radius x 2)

But WAIT: We need to make sure we remove that one side of the square we mentioned earlier. So we would use:

πr (pi x radius)

In terms of π, the perimeter would be:

2π = 2π ft.

Or, if you used a standard approximation of π, let's say 3.14, it would be:

2(3.14) = ~6.28 ft.

III) Add them up:

If we wanted to state the total perimeter using 3.14 as π, we would say the formula is:

2(3.14) + 4(3) = 18.28 ft.

Or in terms of π:

2π + 4(3) = 12 + 2π ft.

Answer:

C. (4 , 3)

Step-by-step explanation:

We are given a system of equations and are asked to find its coordinate value.

To solve, we can keep in mind that both start with y, therefore meaning that we can replace one of the y's with one of the equations.:

\(y=\frac{1}{4}x+2\\y=x-1\)

\(\frac{1}{4}x+2 = x-1\)

Let's try to get x alone, first subtract 2 from both sides:

\(\frac{1}{4}x=x-3\)

Now subtract x from both sides:

\(-\frac{3}{4}x=-3\)

Now since the denominator is 4, multiply both sides by 4:

\(-3x=-12\)

Lastly, divide both sides by -3 to get x :

\(x=4\)

Now that we know x is 4, we can substitute 4 for x in both equations:

\(y=\frac{1}4(4)+2\\y=(4)-1\)

\(y= 3\\y= 3\)

Y is equal to 3, therfore, our coordinate value is C. (4,3)

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

y - 1 = -8(x -9)

Step-by-step explanation:

Point-slope form is y - y1 = m(x - x1) given a point (x1, y1) on the line and slope m. Plug all the values in and this is the answer.

There is not enough evidence

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. [1] When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

For  1.5 moles substrate concentration per liter

Reaction ( n2 ) = 15 runs

average velocity ( x2 ) = 7.5 micromoles per 30 minutes

standard deviation ( s2 ) = 1.5

For 2.0 moles substrate concentration per liter

Reaction( n1 ) = 12 runs

(x1) = 8.8 micromoles on average per 30 minutes

standard deviation ( s1 )  = 1.2

Show Reason to believe that this increase in substrate conc causes an increase in mean velocity

Hypothesis test

H0 : μ1 - μ2 = 0.5

H1 : μ1 - μ2  > 0.5

significance level ( ∝) = 0.01

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The equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

To find the equation of the line perpendicular to the tangent to the curve at (2,1), we need to first find the slope of the tangent line at that point.

The derivative of y=x^3-4x+1 is y'=3x^2-4, so the slope of the tangent line at (2,1) is y'(2) = 3(2)^2-4 = 8.

Since we want the line perpendicular to the tangent, we know that its slope will be the negative reciprocal of the tangent's slope. Therefore, the slope of the line we're looking for is -1/8.

Next, we use the point-slope form of the equation of a line to write the equation of the line with the slope we found and passing through the point (2,1):

y - 1 = (-1/8)(x - 2)

Simplifying and putting the equation in slope-intercept form:

y = (-1/8)x + 9/8

Therefore, the equation of the line perpendicular to the tangent to the curve y=x^3-4x+1 at the point (2,1) is y = (-1/8)x + 9/8.

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There are 10 different necklaces that can be formed with 3 red and 2 blue beads.

To determine the number of different necklaces that can be formed with 3 red and 2 blue beads, we can use permutations with repetition. Initially, there are 5! (5 factorial) ways to arrange the beads without any restrictions. Considering the circular symmetry, we divide the total arrangements by 5. Accounting for the identical red and blue beads, we divide by 3! (ways red beads can be arranged among themselves) and 2! (ways blue beads can be arranged among themselves) to avoid overcounting. Thus, the number of different necklaces is given by (5!)/(5 × 3! × 2!), resulting in 10 distinct necklaces.

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Answer:

$229.26

Step-by-step explanation:

169.82 plus tax

tax= $59.44

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Suppose sin t = 5/7 and cos t < 0. The exact value :
cos t = -√(1 - (5/7²)
tan t =  -(5√6)/12
csc t =7/5
sec t =  -(7√6)/12
cot t =  -12/(5√6)

Since sin t = 5/7 and cos t < 0, we can use the Pythagorean identity cos² t + sin² t = 1 to find cos t:

cos² t + (5/7)²= 1

cos² t = 1 - (5/7)²

cos t = -√(1 - (5/7)²) (since cos t < 0)

Next, we can use the definitions of the trigonometric functions to find the remaining values:

tan t = sin t / cos t = (5/7) / (-√(1 - (5/7)^2)) = -5/√24 = -(5√6)/12

csc t = 1/sin t = 7/5

sec t = 1/cos t = -1/√(1 - (5/7)²) = -7/√24 = -(7√6)/12

cot t = 1/tan t = -12/(5√6)

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Answer:

x=-2

Step-by-step explanation:

0=4x+8

-4x=8

x=-2

Answer:

the answer is 9

Step-by-step explanation:

when doubled 9 is 18

18+7=25

Answer:

9

Step-by-step explanation:

9+9=18 18-9=9 9×2=18 18÷9=2 18÷2=9

1. The expression of Luke's weight loss over the three weeks is 13/4 x-1/2

2. The expression of Liam's weight loss over the three weeks = 21/4 x-9/2

3. Luke lost 2 pounds in the first week.

4. The number of pounds Luke and Liam each lost over the three weeks is 6 pounds.

In the given question, Luke started a weight loss program.

The first week, he lost X pounds.

The second week, he lost 3/2 pounds less than 3/2 Times do the pounds he lost the first week.

So the expression is:

3/2 x - 3/2

The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.

Now the expression is:

3/4x + 1

Liam started a weight loss program when Luke did.

The first week, he lost 1 pound less than 3/2 times The pounds Luke lost the first week.

3/2 x - 1

The Second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week.

5/2 x - 4

The third week, he lost 1/2 pounds more than 5/4 times the Pounds Luke lost the first week.

5/4 x + 1/2

Assuming they both lost the same number of pounds over the three weeks, then we have complete the following sentences.

1. We have to write the expression for Luke's weight loss over the three weeks.

The expression of Luke's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week

The expression of Luke's weight loss over the three weeks = x + 3/2 x - 3/2 + 3/4x + 1

Now we simplify the expression.

The expression of Luke's weight loss over the three weeks = 13/4 x - 1/2

2. We have to write the expression for Liam's weight loss over the three weeks.

The expression of Liam's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week

The expression of Liam's weight loss over the three weeks = 3/2 x - 1 + 5/2 x - 4 + 5/4 x + 1/2

Now we simplify the expression.

The expression of Liam's weight loss over the three weeks = 21/4 x - 9/2

3. Now we have to find the number of pounds Luke lost in the first week.

As given that they lost the same weight. So,

The expression of Luke's weight loss over the three weeks = The expression of Liam's weight loss over the three weeks

13/4 x - 1/2 = 21/4 x - 9/2

Add 9/2 on both side, we get

13/4 x + 4 = 21/4 x

Subtract 13/4 x on both side, we get

2x = 4

Divide by 2 on both side, we get

x = 2

Hence, Luke lost 2 pounds in the first week.

4. We have to find the number of pounds Luke and Liam each lost over the three weeks.

The expression = 21/4 x - 9/2

Now putting the value of x.

The expression = 21/4 × 2 - 9/2

The expression = 21/2 - 9/2

The expression = 12/2

The expression = 6 pounds

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Step-by-step explanation:

true i think i think its true

1) Whenever we have a quadratic formula in this form:

2) We can tell that (h,k ) is the:

In other words, the peak or the lowest point.

Answer:

<1=75°[corresponding angles are equal]

<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]

<3=<2=105°[Vertically opposite angles are equal]

<4=75°[Alternate angles are equal]

<6=<2=105°[Corresponding angles are equal]

<7=<6=105°[Vertically opposite angles are equal]

<8=75°[Vertically opposite angles are equal]

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Answer:

Triangle D.

Step-by-step explanation:

A scalene triangle has different sides.

The y - intercept of the graph represent the initial radius of the algae, the average rate of change is 0.63

1. Since the radius of the algae is increasing with time, a reasonable domain to plot the growth function would be the set of positive real numbers. In other words, d should be greater than or equal to zero.

2. The y-intercept of the graph of the function f(d) represents the initial radius of the algae, or the radius of the algae on day 0.

3. The average rate of change of the function f(d) from d = 4 to d = 11 is:

average rate of change = [f(11) - f(4)] / (11 - 4)

Substituting the given function, we get:

average rate of change = [7(1.06)^11 - 7(1.06)^4] / 7

average rate of change - 0.64

This represents the average increase in the radius of the algae per day between days 4 and 11.

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You squeeze them in together

You kill 1

You eat one

A letter for a stable. TENHORSES

Step-by-step explanation:

Answer:

[T] [E] [N] [H] [O] [R] [S] [E] [S]

The cost to send 130 text messages is:

We know that,

The total cost of sending 80 text messages =  $8.00

So, the cost of sending 1 text message = $8/80

=$0.1 per text message

The cost of sending 130 text messages = 130*$0.1

Therefore, the cost incurred to send 130 text messages = $13

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The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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