Hello Please help me.

Answer:

Vehicle one he put $10000

Vehicle two he put $1000

Step-by-step explanation:

Interest= PRT/100

Interested= x

P1 +P2= $20000

X1+x2= $1200

R1= 5%

R2= 7%

(P1*5*1)/100= X1

5p1=100 X1.....

P1= 20X1...

(P2*7*1)/100= X2

7p2= 100X2

P2= 100/7 X2

P1 +P2= $20000

20X1 + 100/7 X2= 20000

7X1 +5x2= 7000...equation one

X1+x2= 1200 ....equation two

Multiplying equation two with 7

7X1 +7X2= 8400

7X1 +5x2= 7000

Solving simultaneously

2X2=1400

X2= 700

P2= 100/7 X2

P2= 100/7 (700)

P2= 10000

But X1+x2= $1200

X1= 1200-700

X1= 500

P1= 20X1

P1= 20(500)

P1= 10000

Vehicle one he put $10000

Vehicle two he put $1000

The surface area of the composite figure is 2005 in².

To find the surface area of the composite figure, we need to calculate the sum of the areas of its individual components.

Let's break down the figure into its different parts and calculate the surface area step by step:

Rectangular Prism: The rectangular prism has dimensions of 20 in, 11 in, and 5 in. The surface area of a rectangular prism can be found by adding the areas of its six faces. The total surface area of the rectangular prism is given by:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(20)(11) + 2(20)(5) + 2(11)(5) = 440 + 200 + 110 = 750 in²

Rectangular Prism: Another rectangular prism has dimensions of 19 in, 12 in, and 12 in. Following the same process as above, we can calculate the surface area of this rectangular prism:

Surface Area of Rectangular Prism = 2lw + 2lh + 2wh

Plugging in the values, we have:

Surface Area of Rectangular Prism = 2(19)(12) + 2(19)(12) + 2(12)(12) = 456 + 456 + 288 = 1200 in²

Base: The base is a rectangle with dimensions 11 in and 5 in. The surface area of a rectangle is given by the formula:

Surface Area of Rectangle = lw

Plugging in the values, we have:

Surface Area of Rectangle = (11)(5) = 55 in²

Finally, to find the total surface area of the composite figure, we add the surface areas of the individual components:

Total Surface Area = Surface Area of Rectangular Prism + Surface Area of Rectangular Prism + Surface Area of Rectangle

Total Surface Area = 750 in² + 1200 in² + 55 in² = 2005 in²

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Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.

Step-by-step explanation:

Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.

I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.

There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.

The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

The correct answer is "E"

Answer:

          x=1

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation   16-2*x-(5*x+9)=0

Pull out like factors :   7 - 7x  =   -7 • (x - 1)

Solve :    -7   =  0  This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-1 = 0    Add  1  to both sides of the equation :  

                     x = 1

Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

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Answer:

  {-1, 1, 3}  or  {7, 9, 11}

Step-by-step explanation:

Let x represent the middle integer. Then the first is (x-2) and the third is (x+2). The given relation is ...

  (x -2)(x +2) = 10x -13

  x^2 -4 = 10x -13 . . . . . . . eliminate parentheses

  x^2 -10x = -9 . . . . . . . . . . add 4-10x

  x^2 -10x +25 = 16 . . . . . add 25 to complete the square

  (x -5)^2 = 16 . . . . . . . . show the left side as a square

  x -5 = ±4 . . . . . . . . . . take the square root

  x = 5 ± 4 = {1, 9}

There are two solutions:

  {-1, 1, 3}  or  {7, 9, 11}

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

Answer A

Step-by-step explanation:

\(\displaystyle \lim_{n \to -\infty} (3x^3+28)=-\infty\\\\minimum\ of \ f(x)=6\\\\Answer\ A\)

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

A. I) The contribution margin of Lamda Corporation, given the forecast for the next year, is $330,000.

A. II) Based on the forecast, the contribution rate is 55%.

B. I) The break-even point in dollars is $500,000.

B. II) The break-even point as a percent of capacity is 62.5%.

C) The break-even volume in dollars if fixed cost is increased by $40,000 while variable cost is held to 40% of sales is $525,000.

Sales revenue = $600,000

Fixed cost = $275,000

Variable cost =  $270,000

Total cost = $545,000

Net income = $55,000

a) Contribution margin = $330,000 ($600,000 - $270,000)

Contribution rate = 55% ($330,000 ÷ $600,000)

b) Break-even point in dollars = Fixed Cost/Contribution rate

= $275,000 ÷ 0.55

= $500,000

Break-even point as a percent of capacity = 62.5% ($500,000/$800,000 x 100)

c) Break-even point in dollars when fixed cost is increased by $40,000 and variable cost held to 40% of sales

Fixed cost = $315,000 ($275,000 + $40,000)

Contribution margin rate = 60% (100 - 40%)

= $315,000÷60%

= $525,000

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Answer:

y = -6

Step-by-step explanation:

-2y+2 = -2(3y+11)

-2y+2 = -6y - 22

4y +2 = -22

4y = -24

y = -6

is this what you needed??????

Answer:  b) 160 c) 1500

Step-by-step explanation: b) 50 + 50 + 30 + 30 = 160 c) 50 x 30 = 1500

Step-by-step explanation:

\(length \: of \: a \: field \: = 50m\)

\(breadth \: of \: a \: field \: = 30m\)

\(Perimeter \: of \: a \: field \: = ? \)

We know,

Perimeter ( p ) = 2 ( l + b )

= 2 ( 50m + 30m )

= 2 × 80 m

= 160 m

The length of a wire required to fence it thrice

= 3 × 160 m

= 480 m

Area ( A ) = l × b

= 50 × 30 m

\( = {1500m}^{2} \)

Answer:

The  margin of error is \(MOE = 9.68\)

Step-by-step explanation:

From the question we are told that

    The sample size is \(n= 16\)

     The  standard deviation is \(\sigma = 15\)

     The  confidence level is  \(C = 99\)%

Generally the level of significance is mathematically evaluated as

     \(\alpha = 100 - C\)

     \(\alpha = 100 - 99\)

     \(\alpha = 1%\)%

   \(\alpha = 0.01\)

The  critical value of  \(\frac{\alpha }{2}\) obtained from the normal distribution table is  

     \(Z_{\frac{\alpha }{2} } = 2.58\)

The  reason obtaining the critical value of  \(\frac{\alpha }{2}\) instead of  \(\alpha\) is because we are  considering the two tails of the area normal distribution curve which is not inside the 99% confidence interval

   Now the margin of error is evaluated as

              \(MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }\)

substituting values

            \(MOE = 2.58 * \frac{15}{\sqrt{16} }\)

           \(MOE = 9.68\)

Answer:

12

Step-by-step explanation:

60(1/2)^30/13 = 12.118996

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

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To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

3/7

Step-by-step explanation:

He took 6 out of 14 so that is 6/14 then simplify it to 3/7

Answer: -9.2

Step-by-step explanation:

Imagine you are adding the numbers 6.8 + 2.4. Eight plus four equals twelve; after carrying the one, we add one plus six plus two, which equals nine. After that, add the negative sign in front.

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:

Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides

Part B: x=7

Step-by-step explanation:

First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7

The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?