Algebra ll please help

Algebra Ll Please Help

Answers

Answer 1

The formula to obtain the future value (FV) is,

[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]

Where,

[tex]\begin{gathered} FV=\text{Future Value=?} \\ PV=\text{Present Value = \$5000} \\ r=4.2\text{ \%=}\frac{\text{4.2}}{100}=0.042 \\ n=12 \\ t=n\text{umber of years }=5\text{years} \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} FV=5000(1+\frac{0.042}{12})^{12\times5}=5000(1+0.0035)^{60} \\ FV=5000(1.0035)^{60}=5000\times1.233225821=6166.129106 \\ FV=6166.129106\approx6166.13(nearest\text{ cent)} \\ \therefore FV=\text{ \$6166.13} \end{gathered}[/tex]

ence, there will be $6`166.13 in the account after 5years.


Related Questions

Expand and simplify 3(2x + 1) + 2(x + 4) =

Answers

Answer:

3(2x+1)+2(x+4)

3x2x and 3x1

6x+3+2(x+4)

2xx and 2x4

6x+3+2x+8

and the like terms

6x+2x and 3+8

8x+11

Step-by-step explanation:

Answer:

8x +11

Step-by-step explanation:

3(2x+1)+2(x+4)

Use the distributive property to multiply 3 by 2x+1.

6x+3+2(x+4)

Use the distributive property to multiply 2 by x+4.

6x+3+2x+8

Combine 6x and 2x to get 8x.

8x+3+8

Add 3 and 8 to get 11.

8x+11

3. The graph of a polynomial function fis
shown. Which statement about the
polynomial is true?
-3
A. The degree of the polynomial is even.
B. The degree of the polynomial is odd.
C. The constant term of the polynomial is even.
D. The constant term of the polynomial is odd.

Answers

The degree of the polynomial is even.

What is polynomial ?

Algebraic expressions called polynomials include indeterminates and constants. Polynomials can be considered a particular type of mathematics. In practically all areas of mathematics, including calculus, they are used to express numbers. They are also regarded as being crucial in several areas of mathematics. Examples of polynomials include 2x + 9 and [tex]x^{2}[/tex] + 3x + 11. The "=" sign is absent from all of these samples, as you may have observed.

The polynomial's degree is even since the final behavior is the same in both directions (for -x and for +x, y→∞).

The y-intercept is the fixed term. Since it is not an integer, evenness and oddness cannot be determined.

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Find the surface area (in square units) of the polyhedron. i need help!!

Answers

The surface area and volume of the polyhedron are mathematically given as

SA=160 Sqr UnitsV=105 cubic units

This is further explained below.

What is surface area?

Generally, The surface area of a three-dimensional object is equal to the total of areas of all of its faces, also known as surfaces. A cuboid has six faces that are rectangular in shape.

Add together the areas of each of the cube's six sides to get the surface area of the cube. To get the surface area of the prism, we may additionally label its length (l), width (w), and height (h), and then use the formula surface area = length (l) times width (w) times height (h).

To refresh your memory, the surface area of an item is the entire area of the exterior surfaces of the three-dimensional object or the total sum of the area of the faces of the object.

In other words, the surface area of an object is its "face area." It is expressed in terms of square units as a measurement.

In conclusion, Generally, the Surface area is mathematically given as

SA= 9+35+35+33+36+12

SA=160 Sqr Units

Generally, the equation for Volume is mathematically given as

V=(11*9)+6

V=99+6

V=105 cubic units

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CQ is attached  surface area

factor and find all roots

Answers

Answer:  x = 3

x = ± √3 = ± 1.7321

Step-by-step explanation:

those are 2 solutions

Hope some math whiz is on pls dont answer if u dont know
Match the scenario with the law of reasoning.
Law of Contrapositive


Law of Syllogism


Law of Detachment


Not a valid conclusion

options:
1.
If Alex runs a mile in under 6 minutes, then he will have a new personal record.
Alex ran a mile in 5 minutes and 45 seconds.
Therefore, Alex set a new personal record.
2.
If you go to the water park, then you will need to bring sunscreen.
If you do not bring sun screen, then you will burn.
Therefore, when you go to the water park you will get a sunburn.
3.
If the measures of two angles in a triangle are 30° and 60°, then the third angle is 90°.
If a triangle has a 90° angle, then it is a right triangle.
Therefore, if a triangle has two angles that measure 30° and 60°, then it is a right triangle.
4.
If two lines are parallel, then they never intersect.
Line a and line b intersect.
Therefore, line a and line b are not parallel

Answers

1. If Alex runs a mile in under 6 minutes, then he will have a new personal record. Alex ran a mile in 5 minutes and 45 seconds. Therefore, Alex set a new personal record. - law of Detachment

2. If you go to the water park, then you will need to bring sunscreen. If you do not bring sun screen, then you will burn. Therefore, when you go to the water park you will get a sunburn. - law of contrapositive

3. If two lines are parallel, then they never intersect. Line a and line b intersect. Therefore, line a and line b are not parallel - Law of Syllogism

4. If the measures of two angles in a triangle are 30° and 60°, then the third angle is 90°. If a triangle has a 90° angle, then it is a right triangle.  Therefore, if a triangle has two angles that measure 30° and 60°, then it is a right triangle. - Not a valid conclusion

How to illustrate the information?

According to the law of contrapositive, the initial assertion is accurate if and only if the contrapositive is accurate. The original assertion is untrue if the contrapositive is false. A conditional assertion that may or may not depend on another is a contrapositive.

Using deductive reasoning, a syllogism is a three-part logical argument in which two premises are joined to get a conclusion.

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Each of Sean’s comedy routines lasts for 35 minutes. He tells an average of 3 jokes every minute. It takes _ comedy routines to hear 360 jokes

Answers

It takes four (4) comedy routines to hear 360 jokes

What is a proportion?

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion, we have:

1 minute = 3 jokes

X minutes = 360 jokes

Cross-multiplying, we have:

3X = 360

X = 360/3

X = 120 minutes

Now, we can determine the number of comedy routines required for 360 jokes as follows:

Number of comedy routines = 120/35

Number of comedy routines = 3.42 ≈ 4 comedy routines.

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Find the slope and the y-intercept of the graph of the linear equation 3x−4y=−16.

Answers

Answer:

  the slope is 3/4

  the y-intercept is 4

Step-by-step explanation:

You want the slope and y-intercept of the line defined by the equation 3x -4y = -16.

Slope-intercept form

The values of interest can be found easily from the slope-intercept form of the equation of the line. Solving for y puts the equation in that form.

  3x -4y = -16 . . . . . . given

  -4y = -3x -16 . . . . . subtract 3x

  y = 3/4x +4 . . . . . . divide by -4

Compare this to the slope-intercept form equation:

  y = mx + b . . . . . . . line with slope m and y-intercept b

We see that ...

  m = 3/4, b = 4

  The slope is 3/4

  The y-intercept is 4

find sin(c). round to the nearest tenth if necessary a. .92b. .42c. .38d. 1.08

Answers

We have following:

The sine of the angle is given by the quotient of the opposite side and the hypotenuse

[tex]\sin C=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

replacing:

[tex]\begin{gathered} \sin C=\frac{5}{13} \\ \sin C=0.38 \end{gathered}[/tex]

The answer is the option C. 0.38

Find the perimeter of the figure to the right.
The perimeter is
(Simplify your answer.)

4y
meters.

2y meters

7y meters

6 meters

18 meters

6y meters

Answers

Answer:

72 m

Step-by-step explanation:

We observe that 7y+6=18, and thus y=12/7.

So, the perimeter is:

[tex]2(18+7y+6) \\ \\ =14y+48 \\ \\ =14(12/7)+48 \\ \\ =72[/tex]

Hello, help me please )

Answers

Find the inverse of:

[tex]f(x)=(x+3)^2[/tex]

a. To sketch f(x), we use the graph of the parent function

[tex]g(x)=x^2[/tex]

Translated 3 units to the left:

b. The part of the function f(x) that is one-to-one and non-decreasing is in the domain [-3, ∞). Expressing in inequality notation: x ≥ -3.

c. The function f(x) can be written as:

[tex]y=(x+3)^2[/tex]

Applying square root on both sides:

[tex]\pm\sqrt{y}=x+3[/tex]

Solving for x:

[tex]x=\pm\sqrt{y}-3[/tex]

Swapping letters:

[tex]y=\pm\sqrt{x}-3[/tex]

Since we have chosen only the non-negative part of the domain for f(x), we use only the positive sign:

[tex]f^{-1}(x)=\sqrt{x}-3[/tex]

Both functions, f(x) and its inverse are shown below:

A random sample of n = 50 teachers was selected from a Local Government and it has been established that 30% of the entire teachers are ghost workers and 70% are real workers. Determine the expected number of the real workers in any sample of size 50. Select one: O 35 O 15 O 50 O 20 <​

Answers

The expected number of the real workers in any sample of size 50 is 35

What is basic algebra ?

Algebra is a branch of mathematics that facilitates the description of problems or situations into mathematical statements. It involves variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division to generate a valid mathematical statement. All branches of mathematics, such as coordinate geometry, calculus, and trigonometry, employ algebra. An elementary algebraic formula is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations on variables and constants, such as addition, subtraction, multiplication, division, etc., are done. Assume James and Natalie had the notion to arrange the matchsticks into numerical patterns while they were fiddling with them.

Given that : A random sample of n = 50 teachers was selected from a Local Government and it has been established that 30% of the entire teachers are ghost workers and 70% are real workers.

n= 50

30 % are ghost workers

= 30% 0f 50

= 0.3×50

= 15 are ghost workers

50 - 15 = 35 are real workers

The expected number of the real workers in any sample of size 50 is 35

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A restaurant decides to include a 16% tip automatically in all customers’ bills. The restaurant will apply the 16% tip after applying a 5% sales tax. If the total cost of a meal is c dollars, write two different expressions that represent the total bill, including both tax and tip.​

Answers

Two different expressions that represent the total bill, including both tax and tip for the meal sold by the restaurant, are:

c dollars + 5% of c dollars + 16% of c dollarsc dollars + 21% of c dollars

What expressions can we get for the total amount to be paid by the customer?

To arrive at the amount to be paid by the customer, we first have to get the original amount that they should pay for the meal. Next, they are meant to apply the 16% tip for the total meal and this is gotten by calculating 16% of the total meal.

Next, we ought to get 5% of the sales tax which will also be applied to the total bill. When all of these are summed up, we will arrive at the total amount to be paid by the customer. Another way will be, to sum up, all of the percentages and apply them to the total bill.

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A soccer ball is kicked in the air. The table shows the heights y (in feet) of the ball after x seconds. Write an equation for the height of the soccer ball. Find the height of the soccer ball after 1.8 seconds.

I got my function as [tex]y=0.06x^2 +17.82x[/tex] and 32.27 feet as the height after 1.8 seconds, I want to make sure though.

Answers

The height of the soccer ball after 1.8 seconds will be 372.47 feet.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

An air kick is made with a soccer ball. The table displays the ball's height y (in feet) after x seconds.

The function is given as,

y = 0.06x² + 17.82x + 32.27

The height of the soccer ball after 1.8 seconds will be given as,

y = 0.06(18)² + 17.82(18) + 32.27

y = 19.44 + 302.76 + 32.27

y = 372.47

The height of the soccer ball after 1.8 seconds will be 372.47 feet.

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Answer please number 15 only

Answers

Answer:

a) -2/9

Step-by-step explanation:

2/3 - 5/6, you would need to start by making the denominators the same, so 2/3 would become 4/6. 4/6-5/6 = -1/6.

-1/6 ÷ 3/4, use the keep change flip rule

-1/6 × 4/3 then multiply directly across:

-1×4=-4

6×3=18

-4/18 reduces to -2/9

18 Answer:

Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Sum of 8 and a number
19 Answer:

Write the verbal phrase as an algebraic expression. Use x for the
variable in your expression: Ten less than a number
20 Answer:

Write the verbal sentence as an equation or an inequality:
The sum of three and x is ten.
21 Answer:

Write the verbal sentence as an equation or an inequality:
Four is greater than six times a number t.
22 Answer:

Write an equation or inequality to model the situation:
The distance d to school is 1 1/2 miles more than the distance p to
the park.
23 Answer:

Write an equation or inequality to model the situation:
The perimeter of a square with a side length s is greater than or equal
to seventy plus five.

Answers

The required expression is  "8+x" .

When integer variables, constants, and algebraic operations are used to create an expression, it is said to be algebraic (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic.The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations.An expression is said to be rational if it can be reduced to an acceptable fraction using the characteristics of arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions).

The required expressions are:

19) 8 + x

20) x - 10

21) 3 + x = 10

22) 4 > 6t

23) d > 3/2 p

24) 4s ≥ 70 + 5

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A rectangle has a length six inches less than its width. If the perimiter of the rectangle is 54 inches, find the dimensions

Answers

Answer:

l=10.5 in , w=16.5 in

Step-by-step explanation:

p=2l+2w
54=2(w-6)+2(w)
54=2w-12+2w
54=4w-12
66=4w
w= 16.5
l=w-6
l=16.5-6

l=10.5 in
w=16.5 in

hope this helps

280Joules of work is done pushing a bike 35m. How much force was used to push the bike?

Answers

By definition, the work is given by:

[tex]W=F\cdot d\text{.}[/tex]

Where W is the work in Joules (J), F is the force in Newtons (N) and d is the distance in meters (m).

In this problem we have:

• W = 280J,

,

• d = 35m.

We can find the force F in terms of W and d:

[tex]F=\frac{W}{d}\text{.}[/tex]

Replacing the values of W and d, we find that the force F is:

[tex]F=\frac{280J}{35m}=8\frac{J}{m}=8N\text{.}[/tex]

In the last step, we used that J = N m.

Answer: The force is F = 8N.

Please help it’s geometry and it’s hard

Answers

Measure of the angle m ∠ RQS = 58 ° for the given circle with arc RS subtending m ∠RPS=14 x + 46 ° at the center P and m ∠ RQS = 3 x + 43 ° at Q, on the circumference.

As given in the question,

Measure of the angle is given by :

m ∠ RPS=14 x + 46 °                                  

m ∠ RQS=3 x + 43 °                                      

m ∠ RPS = twice m ∠RQS (angle subtended at center of the circle)

14 x +46 =2(3 x + 43)

⇒ 14x + 46 = 6x +86

⇒ 14x-6x=86-46

⇒8x=40

⇒ x=5°

m ∠ RQS = (3 x + 43) °  

                 =[3(5) + 43 ]°

                 = 58°

Therefore, measure of the angle in the given circle m ∠RQS is equal to the  58 °

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See question and photo please: The

Answers

Answer: 50.24ft²

Step-by-step explanation:

Total area of square = 8 * 8 = 64 ft²

Diameter of circle = 8 ft

The formula of area of circle = π r²

(4 = r)

(r² = 16)

3.14 * 16

50.24ft²

A monument in the form of a marble cylinder has a circular base with a radius 1.5 meters. The altitude of the monument is 3.5 meters. How many cubic meters of marble does this monument contain?

A. 24.74 M 3
B. 6.19 M 3
C. 21.21 M 3
D. 7.07 M 3

Answers

If a monument in the form of a marble cylinder has a circular base with a radius 1.5 meters and the altitude of the monument is 3.5 meters. then the quantity of marbles contains in the monument is 24.74 meter cube

The shape of the monument  is cylinder

The base radius of the cylinder = 1.5 meter

The altitude of the monument = 3.5 meters

The volume of the cylinder = [tex]\pi r^{2}h[/tex]

Where r is the radius of the cylinder

h is the height of the cylinder

Substitute the values in the equation

The volume of the cylinder = [tex]\pi (1.5)^{2}(3.5)[/tex]

= 24.74 meter cube

Hence, If a monument in the form of a marble cylinder has a circular base with a radius 1.5 meters and the altitude of the monument is 3.5 meters. then the quantity of marbles contains in the monument is 24.74 meter cube

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To make Citrus Orange paint, a paint store mixes yellow, white, and red paint in the ratio of 5 to 3 to 1. How many gallons of yellow, white, and red paint does the store need to mix to make 135 gallons of Citrus Orange paint?​

Answers

Answer:

yellow 75 gallons

white 45 gallons

red 15 gallons

Step-by-step explanation:

yellow (5) + white (3) + red (1) equal 9 total parts.

5/9 is yellow

3/9 is white

1/9 is read

5/9 x 135 = 75

3/9 of 135 = 45

1/9 of 135 = 15

Customer 1 buys 2 hamburgers and 4 drinks, and his total is $13.00. Customer 2 buys 3 hamburgers and 7 drinks, and his total comes out as $21.00. PART A. You want to buy 8 drinks and 9 hamburgers for you and your friends. How much do you expect to pay?PART B. Show your work or explain how you got your answer.

Answers

Answer:

[tex]\text{Total= \$43.5}[/tex]

Step by step explanation:

To solve this situation we can create a system of linear equations, with the given information for the customers:

Let x be the price for each hamburger

Let y be the price for each drink

[tex]\begin{gathered} 2x+4y=13\text{ (1)} \\ 3x+7y=21\text{ (2)} \end{gathered}[/tex]

To solve for x and y. We can use the substitution method, which consists of isolating one variable in one of the equations and substitute it into the other.

Let's isolate y in (1):

[tex]\begin{gathered} 4y=13-2x \\ y=\frac{13}{4}-\frac{2}{4}x \end{gathered}[/tex]

Now, substitute it into equation (2).

[tex]3x+7(\frac{13}{4}-\frac{2}{4}x)=21[/tex]

Solve for x:

[tex]\begin{gathered} 3x+\frac{91}{4}-\frac{7}{2}x=21 \\ -\frac{1}{2}x+\frac{91}{4}=21 \\ -\frac{1}{2}x=21-\frac{91}{4} \\ -\frac{1}{2}x=-\frac{7}{4} \\ x=\frac{7\cdot2}{4} \\ x=\frac{7}{2}=\text{ \$3.5 } \end{gathered}[/tex]

With the x-value, we can substitute it into the equation (1) to find the price for each drink:

[tex]\begin{gathered} y=\frac{13}{4}-\frac{2}{4}(3.5) \\ y=\frac{13}{4}-\frac{7}{4} \\ y=\frac{6}{4}=\text{ \$1.5} \end{gathered}[/tex]

Therefore, the price for each hamburger is $3.5 and for each drink is $1.5.

Now, if we want to buy 8 drinks and 9 hamburgers:

[tex]\begin{gathered} \text{Total}=(8\cdot1.5)+(9\cdot3.5) \\ \text{Total}=12+31.5 \\ \text{Total= \$43.5} \end{gathered}[/tex]

Can someone please help me with this? Geometry by the way

Answers

Answer:

Step 1: DAB

Step 2: rotated triangle 180° using AC as center of rotation

Step 3: EAC

Step 4: now all 3 angles…

Step 5: a + b + c = 180°

Step-by-step explanation:

For 15 points, label this:

Answers

Source of magnetic force - Nail

Source electric force - battery cell

What is an electromagnet?

We know that the electromagnet is a type of magnet whose magnetic property depends on the interaction of the magnetic material with an electric field. We can see in the image that the nail which serves as the magnetic material is connected to a cell which is the source of the given electric current.

It the follows that the nail above is the source of the magnetic force because the coils of wire while the battery cell is the source of the electrical force.

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The lines intersect. Parallel lines never intersect. What must be true?

A) The lines are not parallel.
B) The lines do not intersect.
C) The lines are perpendicular.
D) The lines are parallel.

Answers

A) the lines are not parallel
The answer is C the lines are perpendicular

Are the triangles scaled copies of each other? True or false?

Answers

Answer:

You cannot multiply or divide for 4 and 3 so no false

Step-by-step explanation:

Not sure how to do this question

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

he detiails of the solution are as follows:

sing the Laws of logarithm which says that:

[tex]\log _bP-\log _bQ=log_b(\frac{P}{Q})[/tex]

Hence,

[tex]\log _340_{}-log_310=log_3\text{(}\frac{40}{10})=log_34[/tex]

mu 3.) Add six to twelve, then divide the sum by four. Divide the quotient by negative nine and then
D multiply by twenty-four. What is the result?
com
eneral
eas to
pecific
onclusi
ns.
answer:
4.) Estimate the total cost of groceries if the prices are $6.47, $14.72, $7.99, $9.40, and $2.79.
Round each to the nearest dollar and add.

Answers

1) Using order of operations, the solution to the given expression is; 12

2) The estimated cost of groceries if the prices are estimated to the nearest dollar is; $42

How to use order of operations?

In mathematics , the acronym for the right order of operations is PEMDAS which denotes;

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction.

3) From the given statement, we are to add 6 to 12, then divide the sum by 4. Thereafter, we divide the quotient by negative nine and then multiply by twenty-four. This is expressed as;

[(6 + 12)/4] = 18/4 = 9/2

Then divide by -9 to get;

(9/2) ÷ 9 = 1/2

Then we multiply by 24 to get;

1/2 * 24 = 12

4) Let us first estimate each cost to the nearest dollar to get;

$6.47 ≈ $6

$14.72 ≈ $15

$7.99 ≈ $8

$9.40 ≈ $9

$2.79 ≈ $3

Total estimated cost = 6 + 15 + 8 + 9 + 3 = $42

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Wally's Wagons is a store that sells wagons. The store sells three sizes of wagons: small, medium, and large.
Matrix A shows the number of wagons sold at two different locations during the month of June.
50 90 30
25 50 50
A-
Each wagon must be assembled and then packaged.
Matrix B shows the number of minutes required for assembly and packaging of the three different-sized wagons.
15 5
B 20 8
-
30 12
How can these matrices be used to determine the total number of minutes spent on assembly and packaging of the wagons in June
at these two stores?
Drag a phrase or matrix to each box to correctly complete the statements.

Answers

The total number of 8780 minutes was spent on the assembly and packaging of the wagons in June at these two stores.

Matrix A shows the number of wagons sold at two different locations during the month of June.

[tex]A =\begin{bmatrix}50 & 90 & 30\\25 & 5 & 50\\\end{bmatrix}[/tex]

Matrix B shows the number of minutes required for the assembly and packaging of the three different-sized wagons.

[tex]B = \begin{bmatrix}15 & 5\\20 & 8 \\30 & 12 \end{bmatrix}[/tex]

We have to multiply Matrix A by Matrix B

[tex]AB =\begin{bmatrix}50 & 90 & 30\\25 & 5 & 50\\\end{bmatrix}\begin{bmatrix}15 & 5\\20 & 8 \\30 & 12 \end{bmatrix}[/tex]

[tex]AB =\begin{bmatrix}3450 & 1330 \\2875 & 1125 \\\end{bmatrix}[/tex]

So the time is 3450 + 1330 + 2875 + 1125 = 8780 minutes

Therefore, a total number of 8780 minutes was spent on the assembly and packaging of the wagons in June at these two stores.

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Answer:

Step-by-step explanation:

Took the quiz

It is possible to approximate the outside temperature based on how fast crickets are chirping. Suppose on a 50 degree day, you measure 52 chirps in a minute, and on a 74 degree day, you measure 148 chirps in a minute. A. Based on this data, determine a linear equation that will output the number of chirps in a minute, n, given the temperature in degrees, t.__________B.. Use your equation to predict the temperature if you heard 96 chirps in a minute, to the nearest degree.________ degrees

Answers

Step-by-step explanation:

we have to find the equation, that's why we select the data

(t, n) = (50, 52) and (14,148)

we look as follows

n-52 = ((148-52) / (14-50)) * (t-50)

We perform the indicated operations

n-52 = (96/24) * (t-50)

n-52 = 4 (t-50)

finally we get the result

n = 4t-148

Answer:

Linear equation n = 4t-148

B)

[tex]n=96[/tex]

Therefore,

[tex]\begin{gathered} 96=4t-148 \\ 4t=96+148 \\ 4t=244 \\ t=\frac{244}{4}=61^0 \end{gathered}[/tex]

Hence, the answer is 61degrees.

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