98 x 65 - 24 x 6 / 3 =
​

The loan that will have a lower balance is;

Option B: The PLUS Loan will have a lower balance by $70.47 at the time of repayment.

To determine which loan will have a lower balance at the time of repayment, we need to calculate the total amount of interest that will be accrued on each loan.

1) For the unsubsidized Stafford loan:

The loan amount is $3,725.

The annual interest rate is 4.65%, compounded monthly. This means the monthly interest rate is 4.65%/12 = 0.3875%.

The loan will be repaid in 6 months, so there will be 6 monthly compounding periods.

Using the formula for compound interest, the balance of the loan at the time of repayment will be:

balance = principal x (1 + monthly interest rate)^number of compounding periods

balance = $3,725 x (1 + 0.003875)^6

balance = $3,901.95

So the balance of the unsubsidized Stafford loan at the time of repayment will be $3,901.95.

2) For the PLUS loan:

The loan amount is $3,725.

The annual interest rate is 5.65%, compounded monthly. This means the monthly interest rate is 5.65%/12 = 0.4708%.

The loan will be deferred until graduation, which is in 6 months, so there will be 6 monthly compounding periods.

Using the formula for compound interest, the balance of the loan at the time of repayment will be:

balance = principal x (1 + monthly interest rate)^number of compounding periods

balance = $3,725 * (1 + 0.004708)^6

balance = $3831.47

So the balance of the PLUS loan at the time of repayment will be $3831.47

Difference in balance = $3,901.95 - $3831.47

= $70.47

Therefore, the PLUS loan will have a lower balance at the time of repayment, by an amount of $70.47

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a) The Reynolds number for a sphere moving in air is 83,333.33.

b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

c) The Reynolds number for a sphere moving in water is 150,000.

a) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.

Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)

Re = 83333.33

b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.

c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:

Re = (density * velocity * diameter) / viscosity

Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².

Re = (1000 * 15 * 0.1) / (0.001)

Re = 150000

Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).

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Answer:

$499

Step-by-step explanation:

He payed at first a down payment = 250

and 20.75 a month for a year

and there is 12 months in a year which means he payed 20.75 12 times multiply these numbers 12x20.75

=$249

Plus the down payment

=249+250

=$499

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

$4.11

Step-by-step explanation:

Im not sure

Answer:

$4.11

Step-by-step explanation:

its right

The graph shows two functions, f(x) and g(x). So, the statements that describe the resulting graph h(x) is point (-2,2) is on h(x)

A graph is described as the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the question above, we have two functions f(x)=x²-2 and g(x)=x²+2 by adding the function we will get the combined function.

The graph that the function is varying from the coordinates (-2,2) is seen on the attached graph.

Therefore, we can conclude that the graph shows two functions, f(x) and g(x). So point (-2,2) is on h(x)

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Answer:

 (c)  ∠3

Step-by-step explanation:

You want to know the angles supplementary to ∠4 in the figure.

In this geometry, only angles that are a linear pair are supplementary. The linear pairs involving angle 4 are ...

Of these, ∠3 is one of your answer choices.

__

Additional comment

Other pairs of angles would be supplementary if there were parallel lines. Here, none of the lines are parallel, so those relations do not apply.

Answer:

248 teachers

Step-by-step explanation:

Answer:

the average amount Mrs. Gordon pays in interest each month, we need to determine the total interest paid over the six-month period and divide it by the number of months.

The total interest paid can be found by subtracting the cost of the stove from the total amount paid over six months:

Total interest paid = Total amount paid - Cost of the stove

The total amount paid over six months is calculated by adding the monthly payments:

Total amount paid = $160/month * 6 months

Let's perform the calculations:

Total amount paid = $160/month * 6 months = $960

Total interest paid = Total amount paid - Cost of the stove

= $960 - $850

= $110

Now, to find the average amount Mrs. Gordon pays in interest each month, we divide the total interest paid by the number of months:

The average amount paid in interest each month = Total interest paid / Number of months

= $110 / 6 months

≈ $18.33

Therefore, Mrs. Gordon pays an average of approximately $18.33 in interest each month.

Answer:

The answer I got was: (0.4,0)

Answer:

qualitative

Step-by-step explanation:

Favorite rock group is the qualitative variable because it shows an attribute. It does not depict a quantity or numbers. The favorite rock group will perform and show their ability to deliver music articles so it is showing quality not quantity. It is an attribute.

Variable is defined as the characteristic being studied so it is a qualitative variable meaning it is showing quality of the characteristic.

Answer:

Step-by-step explanation:

Expand it: \(3x^2 + 18x = -10\)

Add 10 to both sides: \(3x^2 + 18x + 10 = 0\)

Divide both sides by 3: \(x^2 + 6x + \frac{10}{3} = 0\)

Find a, b for \((x + a)^2 + b = x^2 + 2x + a^2 + b \overset{!}{=} x^2 + 6x + \frac{10}{3}\)

It’s \(a = \frac{6}{2} = 3 \land b = \frac{10}{3} - a^2 = 3 + \frac{1}{3} - 9 = -6 + \frac{1}{3}\)

So, inserting it leads to: \((x+3)^2 -6 + \frac{1}{3} = 0\)

Subtract b from both sides: \((x+3)^2 = 6-\frac{1}{3}\)

Apply square root to both sides and consider the two solutions: \(x + 3 = \pm\sqrt{6-\frac{1}{3}}\)

Subtract 3 from both sides and you get \(x = -3 \pm \sqrt{6 - \frac{1}{3}}\)

Answer:

I think it's x = - 9 - √51/3 , -9 + √51/3

Answer:

Step-by-step explanation:

center=(-1,1)

radius=√16=4

distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius

Hence point lies on the circle.

There are 126 ways for them to sit around the table.

What is permutation and combination ?

permutation and combination can be defined as method of arranging in a particular order and combination refers to selection.

There are 4 adults and 6 children. Adults can be arranged in (4-1)!=3!=6ways.

Out of the 6 children, at least 1 can sit between 2 adults.

For this case, the maximum number of children who can sit between 2 adults is 2. Therefore, to determine the total number of ways for at least 1 child to sit between 2 adults we shall add as shown below,

Number of ways to arrange the children is

6C1 + 6C2 = 6+15 = 21

Now the total number of ways is 6*21=126ways

Therefore, there are 126 ways for them to sit around the table.

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Answer:

747.3

Step-by-step explanation:

We take 0.06 away from 1

This simulates 100 percent minus 6 percent

0.94

795 * 0.94 = 747.3

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Answer:

Step-by-step explanation:

Let us set up a proportion.

4/3 = 18/t

Let t = height of giraffe (in inches)

We also have to change units to make our math work easier.

There are 12 inches in one foot.

So, 3 feet = 36 inches and 18 feet = 216 inches.

Our new proportion set up is:

4/t = 36/216

36t = 4(216)

36t = 864

t = 864/36

t = 24

The toy giraffe is 24 inches tall.

Answer:

0.92

Step-by-step explanation:

1

0.23

x. 4

———

0.92

Hope it helps

a. The chart is prepared below.

b. At the end of 4 years, Ross still owes his parents $1,576.92.

To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.

The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.

The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.

Here are the steps for calculating the balance for each year:

Year 1:

Beginning balance = $2,500.00

Interest for the year = $2,500.00 x 0.032 = $80.00

Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00

Year 2:

Beginning balance = $2,280.00

Interest for the year = $2,280.00 x 0.032 = $72.96

Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96

Year 3:

Beginning balance = $2,052.96

Interest for the year = $2,052.96 x 0.032 = $65.76

Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72

Year 4:

Beginning balance = $1,818.72

Interest for the year = $1,818.72 x 0.032 = $58.20

Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92

Here's a table that shows the details:

Year ,principal ,Interest rate, interest, Payment ,annual owing

1 $2,500.00 $80.00 $300.00              $2,280.00

2 $2,280.00 $72.96 $300.00              $2,052.96

3 $2,052.96 $65.76 $300.00               $1,818.72

4 $1,818.72         $58.20  $300.00       $1,576.92

b. At the end of 4 years, Ross still owes his parents $1,576.92.

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since there are 3 slots and each slot has 30 positions:

dial 1 can have a max of 30 possible outcomes, and so can dial 2 and 3

hence all the dial have 30 possible outcomes

total combinations = total outcomes of slot 1 X total outcomes of slot 2 X total outcomes of slot 3/ 3!

total combinations = 30 * 30 * 30 / 3 X 2 X 1

total combinations = 9000/3 X 2

total combinations  = 1500

hence, there is a total of 1500 different combinations of the 3 slots

the combination required is 1 from the 1500

hence the odds are  1/1500

Answer:

1/27000

Step-by-step explanation:

30*30*30 =27000

each dial has to be in correct position so 1/27000 is correct

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:$40.00

Step-by-step explanation:first divide 20 by 5 and the answer will be 4. now multiply 10 into 4 and you'll get the answer $40.00

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

Hello There Again. The Correct answer is C.

Explanation: Because it shows that the numbers need to be least median then greater of the breakfast lunch.

Hope It Helps! :)

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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The compositions of the functions are given as follows:

The domain and the range of the functions are given as follows:

The representation of the composite function is that the output of the inner function works as the input to the outer function, as follows:

(f ∘ g)(x) = f(g(x)).

Hence, at x = 0, the composite function is given as follows:

(f ∘ g)(0) = f(g(0)) = f(1) = 0.

At x = 1, the composite function is given as follows:

(g ∘ f)(0) = g(f(0)) = g(1) = -2.

The definitions of the domain and of the range of a function are given as follows:

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Answer:

the answer is 4.6

Step-by-step explanation:

the explanation is shown in the following attachment below...

hope this helps...