The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?

Answer:

Step-by-step explanation:

10.

11.

12.

13.

Answer:

A = $11093

Step-by-step explanation:

Given the following data;

Principal = $25,000

Rate = 15% = 15/100 = 0.15

Time, t = 5

To find the future value, we would use the compound interest formula;

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

Where;

Substituting into the equation, we have;

r = -0.15 because it's depreciating.

[tex] A = 25000(1 + \frac{-0.15}{1})^{1*5}[/tex]

[tex] A = 25000(1 - 0.15)^{5}[/tex]

[tex] A = 25000(0.85)^{5}[/tex]

[tex] A = 25000*0.4437[/tex]

A = 11092.63 ≈ $11093

Therefore, the future value, A after 5 years is $11093.

Answer:

11809

Step-by-step explanation:

Answer:

Length = 8 inches

Width = 15 inches

Step-by-step explanation:

A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.

Let:

a = length of painting

b = width of painting

Area of painting = 120 = ab

Pythagorean Theorem says

a² + b² = Diagonal²

a² + b²= 17²

[120 =ab means b= 120/a]

a² + (120/a)² = 17²

Multiply through by a²

a⁴ + 14400 = 289

z² + 14400 = 289z [for now, substitute z for a²]

z² - 289z + 14400 = 0

z² - 64z - 225z + 14400 = 0

z(z - 64) -225(z - 64) = 0

(z - 64)(z - 225) = 0

z - 64 = 0

z = 64

z - 225 = 0

z = 225

Note that:

z for a²

Hence:

a² = 64

a = √64

a = 8 inches

The same applies for b

b² = 225

b = √225

b = 15 inches

Answer:

y= 448

Step-by-step explanation:

1.) 94=y/4-18

94+18=[tex]\frac{y}{4}[/tex]-18+18

2.) simplify

112=[tex]\frac{y}{4}[/tex]

3.) Multiply all terms by the same value to eliminate fraction denominators.

112=[tex]\frac{y}{4}[/tex]

4 · 112=4 · [tex]\frac{y}{4}[/tex]

4.) Multiply the numbers

448=y

Solution

448=y

Answer: I think the answer is 5:2 Hope This Helps

It's 5:3

Hoped I helped!

Have a wonderful day-

Bye!

Answer:

Step-by-step explanation:

divide 33.25/475 and you'll get 7 cents per flier

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)

=x+4

x+4+6x

=7x+4

PLS GIVE BRAINLIEST

Answer:

7x+4

Step-by-step explanation:

1/2(2x+8)+6x

divide by 2 or multiply 1/2 it equals the same anyway

x+4+6x

add like terms

7x+4

Answer:

Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Step-by-step explanation:

We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).​

We have three sides of triangle AB, BC and AC

The length of side can be calculated using distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now finding lengths of sides AB, BC and AC

i) Length of side AB

We have A (7,4), B (-8, 6)

and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]

So, Length of side AB is 15.13

ii) Length of side BC

We have B (-8, 6) and C(1, -3)

and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]

So, Length of side BC is 12.72

iii) Length of side AC

We have A (7,4)and C(1, -3)

and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]

Putting values in formula and finding length

[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]

So, Length of side AC is 9.21

So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21

Answer:

Step-by-step explanation:

(-10,6)(-11,7)

Slope is -1

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

Answer:

√7 units, √98 units

Step-by-step explanation:

Answer:

22 and 15

Step-by-step explanation:

22+15=37

22-15=7

Answer:

3g- 139/6

Step-by-step explanation:

Answer:

✔️Length of the space Mr. Hamilton wants to fill with pictures = 4 ft long

✔️8 pictures can be fit on this wall by Mr. Hamilton

Step-by-step explanation:

The wall = 9.75 ft long

Window = 5¾ ft long = 5.75 ft

Each President's picture = 6 in. wide = 0.5 ft wide (note: 1 ft = 12 in.)

✍️Length of the space Mr. Hamilton wants to fill with pictures = 9.75 ft - 5.75 ft = 4 ft

✍️ Numbers of pictures that can fit on this wall = the space Mr. Hamilton wants to fill ÷ the width of each picture

= 4 ft ÷ 0.5 ft

= 8.

8 pictures will can be fit on the wall.

Answer:

blue!!

Step-by-step explanation:

<3

Answer:

Yes, the sum of any two lengths is greater than the third length

Step-by-step explanation:

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Any two parts of a triangle can be added together to have a length larger than the third side.

Robyn needs to put a TV 8ft from her parlor seat.

Applying the Triangle Inequality Theorem

1) 9 + 5 > 8 which is ok

2) 8 + 5 > 9 which is ok

3) 8 + 9 > 5 which  is ok

Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

The complete question is attached below.

Answer:

(6)(6) square units

(x+x) square units

Step-by-step explanation:

Answer:

A=s^2 and A=(x)(x)

Step-by-step explanation:

Answer:

Technology can be both negative and positive when it comes to modified crops. It can be positive because it allows us to have more crops and resist pests and disease. It can be negative because it may cause deformities or health risks.

I really hope that helps you.

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

Answer: hey want to talk

Step-by-step explanation:

Answer:

mean - 12.5

median - 14

mode - 2

range - 20

Step-by-step explanation:

mean = total of the numbers divided by how many numbers there are.

median = average is the middle number in a set of data , when the data has been written in ascending size order. If there is an even number of items of data, there will be two numbers in the middle.

mode = the value that appears most frequently in a data set.

range = the difference between the highest and lowest values in a set of numbers.

Answer:

$2.97

Step-by-step explanation:

Answer:

0.75 apples about 3/4 ig

Step-by-step explanation:

it's just u will divide 1.5 to 1.98 to get how many apples

Answer:

x=88

Step-by-step explanation:

180-48-44=88

88+48+44=180

ckgcujcfyfxgxhfccvcchf

Answer:

r - (4 + p)

Step-by-step explanation:

{that's how you write it if that's what you are asking}

Answer: x =420 s = 21

Step-by-step explanation:

Given:

Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.

To find:

The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.

Solution:

If a figure rotated 90 degrees counterclockwise, then

[tex](x,y)\to (-y,x)[/tex]

[tex]P(x,y)\to P_1(-y,x)[/tex]

If a figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex]P_1(-y,x)\to P'(-y,x+3)[/tex]

If  triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is

[tex](x,y)\to (-y,x+3)[/tex]

Therefore, the required rule of transformation is [tex](x,y)\to (-y,x+3)[/tex].

Note: Option are not in proper form.

All the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

Let the point be having coordinates (x,y).

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

Subcase: Clockwise rotation:

Then (x,y) → (x, -y)

Subcase: Counterclockwise rotation:

Then (x,y) → (-x, y)

Subcase: Clockwise rotation:

Then (x,y) → (-x, y)

Subcase: Counterclockwise rotation:

Then (x,y) → (x, -y)

You can take that point in any of the two surrounding quadrants. Example, if the point is on positive  x axis, then it can taken as of first quadrant or fourth quadrant.

No effect as we assumed rotation is being with respect to origin.

Since no quadrant is specified, we assume triangle is fully in first quadrant. That means all points (x,y) will turn (-x,y) after counter clockwise rotation.

Now translation of 3 units up means all y coordinates will be increased by 3, thus, all (x,y) points of triangle first become (-x,y) then (-x, y+3).

Thus, all the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.

Learn more about rotation and translation here:

https://brainly.com/question/2418278

9514 1404 393

Answer:

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00

Step-by-step explanation:

The first column tells you the cost is ...

  $2.50/(5 lb) = 0.50 $/lb

That is, each bottom number is half the top number, or each top number is double the bottom number.

The table is ...

  weight = 5, 6.5, 7.2, 9, 16

  cost = $2.50, $3.25, $3.60, $4.50, $8.00