A student is graduating from college in 12 months but will need a loan in the amount of $9,529 for the last two semesters. The student may
receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:
Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of
graduation
PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $10,172.23 at graduation
Which loan will have a lower balance, and by how much, at the time of repayment?
A. The Stafford loan will have a lower balance by $244.04 at the time of repayment.
B. The PLUS loan will have a lower balance by $244.04 at the time of repayment.
C. The Stafford loan will have a lower balance by $431.17 at the time of repayment.
D. The PLUS loan will have a lower balance by $431.17 at the time of repayment.

Answer:

AD=RC,        GIVEN

∠A≅∠R      GIVEN

∠AMD=∠RMC    VERtical angles

△MAD≅△MRC   ASA/SAA

Step-by-step explanation:

The experimental probability of rolling a 3 or a 6 is \(\frac{1}{4}\).

The Probability is the ratio of favorable outcomes to total number of outcomes. The probability of an event must be less than 1 as the sum of all probabilities of events is equal to 1. An experimental probability is one that has been determined via a series of tests. To estimate their possibility, a random experiment is conducted, and each repetition is referred to as a trial.

The total number of times 3 occur is 4 and 6 occurs six times.

So, the number of favorable outcome i.e. the result on die is 3 or 6 is 4+6=10.

Total number of outcomes = 10+6+4+8+6+6 = 40

So, the probability of rolling 3 or 6 will be,

P(rolling 3 or 6)  \(=\frac{10}{40}\)

P(rolling 3 or 6) \(=\frac{1}{4}\)

Therefore, the experimental probability of rolling a 3 or a 6 is  \(\frac{1}{4}\).

To learn more about the experimental probability visit here:

https://brainly.com/question/474968

#SPJ1

The difference written in scientific notation is:

1.1×10⁴ - 5.6×10² = 1.044×10⁴

Here we have two numbers in scientific notation, and we want to find the difference between them, it is:

1.1×10⁴ - 5.6×10²

To find that difference, we need to find a common factor between the two numbers, we can write the first one as:

1.1×10⁴ = 110×10²

Then we can take the difference:

1.1×10⁴ - 5.6×10²

110×10² - 5.6×10² = (110 - 5.6)×10² = 104.4×10²

104.4×10² = 1.044×10⁴

That is the difference in scientific notation.

Learn more about scientific notation at:

https://brainly.com/question/5756316

#SPJ1

The stream velocity has no influence on the amount of dissolved load it contains. The amount of dissolved material depends on erosion and deposition carried out in the watercourse. These are affected by factors such as the slope of the land, the resistance of the material to erosion, the size of the sediments transported, etc.

Stream velocity plays an important role in the transport of sediments and dissolved loads in a watercourse. It affects the erosion and deposition processes that occur in the watercourse, which in turn affect the amount of sediment and dissolved load that is carried by the stream. For example, faster stream velocities can cause more erosion of the stream bed, leading to more material being carried in the water.

Sediment is any particulate matter that is transported by a fluid, and it can come in many different forms. The three main types of sediment are:

Learn more about Erosion: https://brainly.com/question/17905503

#SPJ4

The equation that represents the linear relationship between the x-values and the y-values in the table is y = 3x + 2.

The slope of the line passing through the points (0, 2) and (1, 5) is given by:

slope = (change in y) / (change in x) = (5 - 2) / (1 - 0) = 3

Using the point-slope form of the equation of a line, we have:

y - 2 = 3(x - 0)

y = 3x + 2

Therefore, the equation that represents the linear relationship between the x-values and the y-values in the table is y = 3x + 2.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

Answer is c

Answer:

-59, -32, 0, 36

Step-by-step explanation:

Step-by-step explanation:

To reflect a function about the vertical axis, just negate the variable.

For example, if we want to reflect this function

\( y = log(x) \)

about the y axis or vertical axis, we just make the x negative

\(y = log( - x) \)

Another example,

\(y = |x| \)

To reflect about y axis or vertical axis,

\(y = | - x| \)

So here l,the answer with negative variables are function that are reflected about the y axis.

The options are the first and the fifth option.

Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

To know more about similar triangles

https://brainly.com/question/29793437

#SPJ4

Answer:

The answer is letter C.

I hope it help

The equation of line B in the form y = mx + c is: y = (-10/7)x - 16/7.

To determine the equation of line B, we need to find its slope (m) and y-intercept (c) based on the given information.

Looking at the graph, we see that point P lies on line A, and line B is parallel to line A. Parallel lines have the same slope. So, to find the slope of line B, we can use the slope of line A.

From the graph, we observe that line A passes through the points (-2, 4) and (5, -6). We can calculate the slope (m) of line A using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values of the points into the formula, we get:

m = (-6 - 4) / (5 - (-2))

= (-10) / (7)

= -10/7

Now that we have the slope (m) of line B, we need to determine the y-intercept (c). Since line B passes through point P, which is (-3, 2), we can substitute these values into the slope-intercept form equation:

y = mx + c

Substituting (-3, 2) and -10/7 for (x, y) and m, respectively, we get:

2 = (-10/7)(-3) + c

Simplifying the equation, we have:

2 = 30/7 + c

To isolate c, we subtract 30/7 from both sides:

2 - 30/7 = c

Multiplying the terms, we have:

14/7 - 30/7 = c

Simplifying further, we get:

-16/7 = c

For more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

Answer:

Yes

Step-by-step explanation:

A rectangle can be scaled into a square + rhombus. The difficult part is a trapezoid. If you can scale the sides, then the answer will remain yes because you would just make the top side longer both ways to straighten it and shorten the side lines.

Answer:

6

Step-by-step explanation:

We can look that AB=BC=CD=18/3=6

So, AB = 6

Answer:

Step-by-step explanation:

6....

Step-by-step explanation:

f(x) = - 2 (x+1)^2 + 8     is already in vertex form

quadratic form can be found by expanding it :

f(x) = -2 ( x^2 + 2x +1)  + 8

f(x0 = -2x^2 -4x -2 + 8  

f(x) =  - 2x^2 - 4x + 6     <=====quadrtaic form

The ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is: b/c = 4b/9c , b/c = 1.125

Jim bought 3 pints of beer and 7 cups of coffee for $14, and the ratio of the price of pints of beer to the price of cups of coffee is 2:3,

To determine the cost of one pint of beer and one cup of coffee, let's solve the system of equations.

                     2b + 3c = 7 (dividing both sides of the equation by 7)

                                    2b/7 + 3c/7 = 1b/3.5 + c/2.333

                  = 1b + 1.5c

                  = 4.666... (dividing both sides of the equation by 3.5)

                              b/3.5 × 4 + c/2.333 × 9

                            = 14b/0.875 + c/0.259

                                       = 14.666...

Therefore, the ratio of the price of pints of beer to the price of cups of coffee if Jim chooses to buy 4 pints of beer and 9 cups of coffee is:

                       b/c = 4b/9c (multiplying both sides by 9c)

                                       b/c = 1.125

Learn more about Ratio:

brainly.com/question/12024093

#SPJ11

19. The fourth option is correct, as the angle is bisected.

20. 7x - 8 = 6x + 11 (since they are vertically opposite angles)

Answer:

44, 54, 82. Acute

Step-by-step explanation:

x + x + 10 + 2x - 6 = 180 (Triangle Sum Theorem)

4x + 4 = 180 (Combine Like Terms)

4x = 176 (Subtraction Property of Equality)

x = 44 (Division Property of Equality)

Now that we have found the value of x, we need to substitute it with the provided angles.

∡1 = x = 44°

∡2 = x + 10 = 54°

∡3 = 2x - 6 = 2(44) - 6 = 82°

So, the answer is an Acute triangle (Option 4).

The price of one adult ticket is $9, and the price of one child ticket is $18.

Let's assume the price of one adult ticket is "a" dollars and the price of one child ticket is "c" dollars.

From the information given, we can set up the following system of equations:

Equation 1: 12a + 2c = 114

Equation 2: 11a + 10c = 227

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can solve for c in terms of a:

2c = 114 - 12a

c = (114 - 12a)/2

c = 57 - 6a

Substitute this expression for c in Equation 2:

11a + 10(57 - 6a) = 227

11a + 570 - 60a = 227

-49a = -343

a = (-343)/(-49)

a = 7

Now, substitute the value of a back into Equation 1 to find c:

12(7) + 2c = 114

84 + 2c = 114

2c = 114 - 84

2c = 30

c = 30/2

c = 15

Therefore, the price of one adult ticket is $9 (a = 9), and the price of one child ticket is $18 (c = 18).

To learn more about price

brainly.com/question/19091385

#SPJ11

Answer:

23 apples

Step-by-step explanation:

1/8 of 40 = 5, 20 percent of 40 is 8. 8+4+5 = 17. 40-17 is 23

Answer: 23

Step-by-step explanation:

Answer:

4 is in the ones places, so it should be added to the 3 in the ones place, not the 3 in the tenths place.

Step-by-step explanation:

3.3+4=7.3, not 3.7

Answer:

The answer would be c) 8-14m

Answer:

C: 8-14m

Step-by-step explanation:

2(4-7m) = 8 - 14m

find this by distributing the 2 into the parenthesis: 2 * 4 and 2* -7m to get 8 and -7m

A new apple orchard is being planted by Aaron's uncle. They plant 12 trees after picking up a truckload of them. They still need to plant 40 trees the following day.

The letter (N) is the symbol used to represent natural numbers. Natural numbers are also known as counting numbers, and they begin with the number 1 and continue to infinity (never ending), which is represented by three dots (...)

900n - 9\(n^2\) = A(n) = n(900 - 9n)

For the highest A(n), A'(n) = 0, A'(n) = 900 - 18n = 0, 18n = 900, and n = 900/18 = 50.

50 trees should be planted per acre to produce the most apples possible

To learn more about A(n) Visit : https://brainly.com/question/2284855

#SPJ9

Answer:

there would be 4 gallons of strawberry

Step-by-step explanation:

Since 4 quart equal to 1 gallon then 16 quarts would equal 4 gallons

Answer:

80

Step-by-step explanation:

500 to 900? = 80.

The car dealer needs to sell the remaining 4 cars for $12,100 each to obtain an average profit of 18%.

Let's break down the problem step by step:

1. The car dealer purchases 20 new automobiles for $8000 each, so the total cost of the 20 cars is 20 * $8000 = $160,000.

2. The car dealer sells 16 of the cars at a profit of 20%. To calculate the selling price of these cars, we need to add the 20% profit to the cost price. The profit per car is 20% of $8000, which is (20/100) * $8000 = $1600. So, the selling price of each of the 16 cars is $8000 (cost price) + $1600 (profit) = $9600.

3. The car dealer wants to obtain an average profit of 18% for all 20 cars. We have already sold 16 cars, and we need to calculate the selling price of the remaining 4 cars to achieve the desired average profit.

4. Let's assume the selling price of the remaining 4 cars is x dollars.

5. To calculate the total selling price of all 20 cars, we sum up the selling prices of the 16 cars and the remaining 4 cars. So, the equation is:

(16 * $9600) + (4 * x) = $160,000 + (20% * $160,000)

(16 * $9600) + (4 * x) = $160,000 + (0.20 * $160,000)

 153,600 + 4x = 160,000 + 32,000

4x = 48,400

x = 48,400 / 4

 x = $12,100

Therefore, the car dealer needs to sell the remaining 4 cars for $12,100 each to obtain an average profit of 18%.

Learn more about automobiles

brainly.com/question/30435512

#SPJ11

9.

x, y and z are three different numbers.

x + y + z = 100

The mean of x, and y is 40.

The mean of y and z is 35.

the means of x, y is that like similar to coordinator