If you need to take out a $60000 student loan 2 years before graduating, which loan option will result in the lowest overall cost to you: a subsidized loan with 6.5% interest for 10 years, a federal unsubsidized loan with 5.8% interest for 10 years, or a private loan with 5.0% interest and a term of 13 years? How much would you save over the other options? All payments are deferred for 6 months after graduation and the interest is capitalized.

The most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.

According to the question,

We have the following information:

We need to find the names of the properties of the multiplication.

There are most commonly three properties of multiplication which are used most often:

Commutative property of multiplication which states that the product of two integers will always remain same even if we change their order.

Associative property of multiplication states that the product of three integers will always be the same even if we change the bracket from the first two to last two.

Identity property states that the product of an integer and 1 is always that integer.

Hence, the most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.

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The total interest you pay over the course of a 30-year loan is significantly higher than the same amount over the course of a 15-year loan.

How do you calculate total amount interest?

Given data :

Rate = 90000

time = 30 years

interest = 8.5%

Applying formula

Interest = Principal x Rate x Time.

Interest on a 30 year loan at 9.5% per year would be equal to $182,436.76

Interest on a 15 year loan at 9.0% per year would be equal to $74,311.19

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The genotypic ratio is the distribution pattern of the genes in the offspring obtained after a genetic cross.

The phenotypic ratio is the distributionn pattern of the physical characteristics in the offspring obtained after a genetic cross.

To find a phenotypic ratio, we look at the alleles of the parent organisms and estimate how often those genes will be exhibited by the offspring.

Phenotype is the constellation of observable traits; genotype is the genetic endownment of the individual.

Phenotype = genotype + development (in a given environment).

The genotypic ratio and the phenotypic ratio may not necessarily be the same.

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Answer:

undefined

Step-by-step explanation:

The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +

The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:

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

For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:

y = m*(x - h) + k

Where y and x are the two variables.

Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:

m = 1/2

h = 1

k = -2

Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:

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

That is what we wanted to find.

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After division, 0.75 is 3/4 as a division problem.

In the given question we have to find what is 3/4 as a division problem.

The given division problem is 3/4.

With the help of the division formula Dividend = (Divisor Quotient) + Remainder, we can confirm the quotient and the remainder of the division. If the remaining is 0, we can multiply our quotient by the divisor to see if it is accurate. The quotient is accurate if the product equals the dividend.

To solve this division problem we divide 3 by 4. The answer should come in the decimal form because 3 is less than 4. So we take decimal to solve this.

Now the solution of the given division problem is:

3/4 = 0.75

Hence, 0.75 is 3/4 as a division problem.

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Step-by-step explanation:

x = the integer number

8×(x + 2) - x = 86

8x + 16 - x = 86

7x = 70

x = 10

x + 2 = 12

the larger integer is 12.

The measure of the largest side of the triangle is 102cm.

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.

Therefore the measure of each side will be given as:

2/11×187= 34cm

3/11×187= 51cm

6/11×187= 102cm

This means that the measure of the three sides are 34cm, 52cm, and 102cm.

Therefore the measure of the largest side is 102cm

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The value of the expression 1+1+q+q++1+1+1 is 5 + 2q.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

As an illustration, the expression x + y has the terms x and y with an addition operator between them.

The expression will be:

= 1+1+q+q++1+1+1

= 5 + 2q

The value is 5 + 2q.

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Answer:

5+2q

Step-by-step explanation:

The factor theorem states that x+2 is a factor of x³+3x²+5x+6.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The numbers that can divide a number exactly are called factors.

There is therefore no residual after division.

The numbers you multiply together to obtain another number are called factors.

A factor is therefore another number's divisor.

So, the expression is: x³+3x²+5x+6

Check whether x+2 is the factor:

Then,(x = -2)

p(-2) = (-2)³+3(-2)²+5(-2)+6

p(-2) = - 8 + 12 - 10 + 6

p(-2) = 0

Therefore, the factor theorem states that x+2 is a factor of x³+3x²+5x+6.

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Correct question:
Examine whether x+2 is a factor of x³+3x²+5x+6

Answer: you just do the thing with a line going down the equal sign and do everything on one side that you do on the other

Step-by-step explanation:

The angle with 180° is a straight line, and the ray can be drawn in any way.

The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.

Given that, angle PKW is 180 degrees and two additional rays were added,

The figure has been attached in answer.

We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.

Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.

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Answer: See attached.

Step-by-step explanation:

      First, we will graph the two inequalities. We will graph as we would with normal linear equations.

      However, they both use the < sign, so we will shade above a dashed line.

      The solution to this system of inequalities is where the shaded parts overlap. You can see that in the attachment I have labeled it as such.

In the concept of geometry, the pair of triangles that are congruent by the ASA Congruent Theorem are the pairs that have two corresponding angles and an included side that are congruent to each other.

Congruent:

Congruent refers the identical in shape and size.

Given,

Here we need to find in which pair of triangles is congruent by the ASA postulate.

As per the Angle-Side-Angle Congruent Theorem (ASA) states that when two triangles are considered congruent if they have two corresponding angles that are congruent and an included side that are congruent to each other.

So, this one included side is the side that is lie between the two congruent angles in each of the triangles.

Therefore, the triangle which form the pairs of angles given has two corresponding angles and an included side that are congruent to each other in each triangle.

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Answer:

4

Step-by-step explanation:

3(-5x-5) + 19x = _x - 15

-15x-15+19x = _x - 15

4x - 15 = _x - 15

It has to be the same on both sides so 4 would go in that blank.

Answer: 4

Step-by-step explanation:

We will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

The predicted result of an experiment with N outcomes, each with a probability of p1, p2,..., pn, is:

EV = x₁*p₁ + ... + xₙ*pₙ

The results in this situation are:

x₁ = drawing an unlucky card = -$6

If there are five odd cards in a deck of ten cards, the probability is:

p₁ = 5/10 = 1/2.

x₂ = drawing a 2 = $2

There is only one 2 card on the deck, so the probability of drawing it is: p₂ = 1/10

x₃ = drawing a 4 = $4

p₃ = 1/10

x₄ = drawing a 6 = $6

p₄ = 1/10

x₅ = drawing a 8 = $8

p₅ = 1/10

x₆ = drawing a 10 = $10

p₆ = 1/10

So the expected value will be:

EV = (-$6)*(0.5) + ($2 + $4 + $6 + $8 + $10)*(1/10)

EV = 0

Thus, we will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

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The value of P is 3

Given general formula for a parabola is x2 = 4py ………….(a)

Also given that x2 = 12y …………..(b)

Equating (a) and (b), we get

x2 = 4py ≅ x 2 = 12y

⇒ 4py = 12y

Canceling the 'y' on either sides, we get

⇒ 4p= 12 p= 3

When the general formula for a parabola is x2 = 4py. The value of p in the equation x2 = 12y is 3.

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line

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Answer:

The number of students enrolled in castle rock school is 625

information from the problem

At castle rock school 575 students ride their bikes to schoolin the theater

If this number is 92% of the school enrollment

how many students are enrolled = ?

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

92%

= 92 percent

= 92 / 100

= 0.92

The factor 0.92 of the total number gives 575 students

let the total number be x

0.92 * x = 575

0.92x = 575

x = 575 / 0.92

x = 625

The total number of students is 625

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Answer: One Real Solution

We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )

a=2,b=-4,c=2

Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac

Once we plug in our coefficients:

(-4)^2 - 4 x 2 x 2

Once we simplify, we get 0.

One real solution.

I hope this helps.

In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:

For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:

   Δ = b² - 4ac

In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:

By introducing these values into the formula we get:

         Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0

Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.

Area of circle = [tex]{ \purple{ \sf{π{r}^{2}}}}[/tex]

here [tex]{ \purple{ \sf{π = \frac{22}{7}}}}[/tex]

and radius is 13 in.

now put the value..

22/7×(13)²

22/7×169

22×24.14

531.08

approx to 531.1.

Answer:

5, 4, 7

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

we need to subtract these 2 fractions

3/4-1/3

to start we change so they can have common denominators and both of them can be 12

3x3/4x3-1x4/3x4

9/12-4/12

5/12

hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

x = 32

x - 10 = 22

add 10 to both sides of the equation

-10 + 10 = 0

22+ 10 = 32

x = 32

The unknown number of cases that to be shipped if there are 72 items to ship 6 in each case is 12.

To determine the total number of cases needed to ship 72 items, we need to divide the total number of items by the number of items in each case. In this case, we have 72 items to ship and each case can hold 6 items.

When we divide 72 by 6, we get 12. This means that there are 12 groups of 6 items that can be packed into cases. Each group represents one case.

Therefore, the total number of cases needed to ship 72 items is 12. Each case will contain 6 items, and there will be 12 cases in total.

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The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82

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

The expression is given as:

The product of 6 and 0.82

Mathematically, this expression can be represented as

6 * 0.82

To apply the distributive property,

We need to express 6 as the sum of two numbers

So, we have the following representation

6 * 0.82 = (2 + 4) * 0.82

Remove the brackets

6 * 0.82 = 2 * 0.82 + 4 * 0.82

Expand the terms of the expression

6 * 0.82 = 1.64 + 3.28

Evaluate the sum

6 * 0.82 = 4.92

Hence, the solution is 4.9

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A quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

According to the question,

We have to name six types of quadrilaterals by first defining a quadrilateral.

A quadrilateral is a figure where it has four sides and four angles. These sides and angles may sometimes be equal to each other and sometimes may be not. However, in all quadrilaterals, the sum of all four angles is 360°.

Six types of quadrilateral are rectangle (opposite sides of rectangle are equal), square (all sides are equal and each angle is a right angle), parallelogram (opposite sides are parallel and equal), rhombus, kite and trapezoid.

Hence, a quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

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The total number of pounds of avocados Jenna bought is B. 2

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming Jenna bought x pounds of apples and y pounds of avocados.

Altogether she bought 7 pounds of apples and avocados.

∴ x + y = 7...(i)

Altogether, she spent $14. 25.

∴ 1.25x + 4y = 14.25...(ii)

Now multiplying eqn(i) by 1.25 and subtracting from eqn(ii) to cancel out the variable x, we get

2.75y = 5.5.

y = 2 pounds of avocados and hence 5 pounds of apples.

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Answer:

2 1/4 kg

Step-by-step explanation:

Answer:

100 times square times Y 49 gives= 14000