Combine the likes terms to create an equivalent expression y - (-3y)

Answer:

=6 units squared

Step-by-step explanation:

area=1/2h(a+b)

        =1/2×2(4+2)

        =6

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x

From the question, we are to simplify the given algebraic expression.

The given expression is

√45x^5

First, we will write the given expression properly

The expression written properly is

√45x⁵

Simplifying

√45 × √x⁵

√9×5 × √x⁴×x

√9 × √5 × √x⁴ × √x

3 × √5 × x² × √x

3 × x² × √5 × √x

3x² × √5×x

3x² × √5x

3x²√5x

Hence, the simplified expression is 3x²√5x

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The standard deviation of the examination grades in Maths SL for the class would be 1. 39.

First, list the grades based on their frequencies to be:

2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7

Then find the mean :

= ( 2 + 2 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 +7 + 7 + 7 + 7 + 7 ) / 32

= 5. 125

Then find the variance :

= ( ∑ ( x - mean ) ² / number of grades )

= ((2 - 4.85)² + (2 - 4.85)² + (3 - 4.85)² + (3 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (4 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (5 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (6 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)² + (7 - 4.85)²) / 20

= 1. 921875

The standard deviation can be found by the formula :

 σ = √Variance

= √ 1. 921875

= 1. 39

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Answer:

Stuck on it

Step-by-step explanation:

Answer:

let the first number be a and the second b

a + b =11

a -b =3

a = 11 - b

11 -b -b = 3

11 -2b =3

-2b =3 -11

-2b = -8

divide both sides by -2

b = 4

a +4 =11

a =11 -4

a =7

the product of the two numbers is 7×4=28

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

Not sure but try

Step-by-step explanation:

1, 6 < 2x

2, c = b2

3, a + g / 5

4, (c^4)7u

5, y > 4(9)

6, e < 10 + p

Answer:

The first one is two over four

Step-by-step explanation:

Answer:

5/6 yard

Step-by-step explanation:

6/6 - 1/6= 5/6 yard

The arithmetic sequence's fifth term is therefore 84.

An arithmetic sequence's nth term is determined by a = a + (n - 1)d. So, enter the values a = 2 and d = 3 into the formula to determine the nth term.

The formula to determine the nth term of an arithmetic series is a = a1 + (n - 1)d if a1 is the first term and d is the common difference.

In the mathematical sequence, 84 is the fifth term.

The process for calculating value

An arithmetic sequence's nth term can be calculated using the following formula:

Tn = a + (n -1)d

Where;

First term is a.

N words are present.

d is the typical difference

We must substitute nas 5's value in order to find the fifth term.

T5 = 4 + (5-1) 20

T5 = 4 + 4(20) (20)

the bracket be expanded

T5 = 4 + 80

T5 = 84

The arithmetic sequence's fifth term is therefore 84.

The complete question is,

4 is the initial term and 20 is the constant difference in an arithmetic series. Discover the sequence's sixth phrase.

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Answer: 4

Step-by-step explanation:

I got this same question buddy im here to see the answer but there were not any

Answer:

Overall, there were 147 kids who went and 137 adults who went.

Step-by-step explanation:

x + y = 284

Let's say x represents the children and y represents the adults. 284 represents the number of people who went. Put the money amounts to multiply with x and y based on their status.

6x + 8y = 284

Now use the elimination method (for y).

y = 284 - x

Plug it in...

6x + 8(284 - x) = 1878

Start simplifying.

6x + 2272 - 8x = 1878

-2x + 2272 = 1878

-2x = -394

x = 147

Subtract.

284 - 147 = 137

Overall, there were 147 kids who went and 137 adults who went.

18 ans 2,639.064

19 ans 1,437.607

22 ans 7,872.433

23 ans 2,950.190

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Answer:

B?

Step-by-step explanation:

I think is B because solar power never run out.

（For the next 5000000000 years at least...）

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

4m-24n+3

Hope this helped you!

Answer: 4m+3

Step-by-step explanation:

You must add each term together. If you add each variable and term, you would get 4m+3.

Answer: 75%

We know that 1/4 of 24 (25%) is 6, 6 fits into 18 three times and 25 times 3 is 75. So the answer is 75%

Answer:

11 units

Step-by-step explanation:

The truck driver would deliver 105 packages in a 7 hours day

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:

y - 15 = [(60-15)/(4-1)](x - 1)

y = 15x

For a 7 hour day (x = 7):

y = 15(7) = 105

The driver would deliver 105 packages in 7 hours

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Answer:

Step-by-step explanation:

I'm assuming that you're looking for f(x) here given that f(2x) = 3x - 1.

The key is to make a substitution for f(2x) so things are easier for us in the long run. Let u = 2x. Now solve that for x so x is in terms of u:

x = u/2. Therefore, f(2x) becomes f(u) and

\(f(u)=3(\frac{u}{2})-1\\f(u)=\frac{3u}{2}-1\\f(u)=\frac{3u}{2}-\frac{2}{2}\\f(u)=\frac{3u-2}{2}\)and now we can replace the u with the x (to put it back in terms of x):

\(f(x) =\frac{3x-2}{2}\)  We can check our work by using that and evaluating it at f(2x). If we are right, then f(2x) = 3x - 1.

f(2x) = \(\frac{3(2x)-2}{2}\) and

\(f(2x)=\frac{6x-2}{2}\\f(2x)=\frac{2(3x-1)}{2}\\f(2x)=3x-1\)

The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

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