make c the subject of formula
[tex]B = A+ C[/tex]
​

Answer:

Rate of change per year = $5300

Step-by-step explanation:

Step 1: Substitute the variable P for the invested amount

    1. A(t) = 5000(1.06)t

    2. A(t) = (5300)t

Step 2: Substitute the variable t for the first 15 years

    1. A(15) = (5300)(15)

    2. A(15) = 79,500

Step 3: Substitute the variable t for the 20 years

    1. A(20) = (5300)(20)

    2. A(20) = 106,000

Step 4: Find your two ordered pairs and relation

    First ordered pair: (15, 79,500)

    Second ordered pair: (20, 106,000)

    Relation: {(15, 79,500), (20, 106,000)}

Step 5: Find the slope or rate of change between 15 and 20 years

    Let (y₁, x₁) = (15, 79,500)

    Let (y₂, x₂) = (20, 106,000)

    1. Use the slope expression: y₂ - y₁/x₂ - x₁

    2. Substitute the correct values into the expression:

         106,000 - 79,500/20 - 15

    3. Simplify: 26500/5 = 5300

    4. Hence, the rate of change in dollars per year is $5300

Perimeter

[tex]\\ \tt\hookrightarrow 2(L+B)[/tex]

[tex]\\ \tt\hookrightarrow 2(6+4)[/tex]

[tex]\\ \tt\hookrightarrow 2(10)[/tex]

[tex]\\ \tt\hookrightarrow 20cm[/tex]

Scale 1cm=3m

Answer:

60 m

Step-by-step explanation:

Perimeter of a rectangle = 2 x width + 2 x length

From inspection of the diagram, the width of the villa is 4 cm and the length is 6 cm

Therefore, perimeter of the villa = (2 x 4) + (2 x 6) = 20 cm

We are told that there is a scale 1 cm : 3 m

This means that 1 cm = 3 m

Therefore, to convert the perimeter found in cm into meters, we need to multiply it by 3:

Perimeter = 20 x 3 = 60 m

Answer:

4x + 6y + 4

Step-by-step explanation:

–(2x – 3y) + 5x + 2 – 3x + 3y + 2

= -2x + 3y + 5x + 2 - 3x + 3y + 2

= -2x + 5x -3x + 3y + 3y + 2 + 2

= 0 + 6y + 4

= 6y + 4 (C)

Hope it helps ⚜

Answer:

D; 4x+6y+4

Step-by-step explanation:

1. Distribute the negative

2. -2×+3y+5x+2-3×+3y+2

2. combine like terms

answer; 4x+6y+4

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 is the greatest common factor of 7, 4 and 39

Answer: 153.86 cm²

Ok done. Thank to me :>

Answer:

x=3 and x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given system:

Solve by substitution:

We got correct equation without variables.

It means the equation is correct for any value of variables, the lines are same and overlap.

So there are infinitely many solutions.

Answer:

70

Step-by-step explanation:

The angle at the bottom right of the triangle is linear with the 105, so it is 180 - 105 = 75

The top angle of the triangle is an alternate interior angle with the 35 degrees, so it is also 35.

75 + 35 = 110

x = 180 - 110 = 70

The angle above x is 35° as alternate interior angles are equal.

Angle aside right to x

Measure of x

By using the graph and the definition of inverse functions, we will see that:

g⁻¹(1) = 4.

We say that two functions f(x) and g(x) are inverse if:

Now, we know that graph of g(x) and we want to find the value of:

g⁻¹(1)

In the graph, we can see that:

g(4) = 1

Then we can replace it:

g⁻¹(1) = g⁻¹( g(4) ) = 4.

So we can conclude that:

g⁻¹(1) = 4.

If you want to learn more about inverse functions, you can read:

https://brainly.com/question/12220962

Answer:

-4

Step-by-step explanation:

Khan Academy

Answer:

see step-by-step below

Step-by-step explanation:

1)  y - 2 > 3

Add 2 to both sides:   y > 5

2) y ≤ 2

Draw a closed circle at y = 2 then shade the numbers to the left

3) y ≥ 250

where y = savings

4) The image isn't very clear, so I can't tell if it's a closed or open circle on -4.

If it is closed, it will be y ≤ -4

If it is open, it will be y < -4

5) -4 < f

Draw an open circle at f = -4 then shade the numbers to the right

6) x < -3.5

Draw an open circle at x = -3.5 then shade the numbers to the left

7) closed circle ... shade to the left of 8 ... make y  equal to or less than 8.

8) F ≤ 6

C - closed circle at 6 with shaded numbers to the left

9) y > 2.75

Betty saved more than $2.75 every month

10) 1 + x < 5

Subtract 1 from both sides:  x < 4

11) x ≥ -2.5

12) 1 ≤ m means that m is equal to or greater than 1

solutions:  4, 1, 2.3

Answer:

[tex]b=3\sqrt{13}[/tex]

Step-by-step explanation:

Segment Addition Postulate:

[tex]\bar{PY}=\bar{MP}+\bar{MY}[/tex]

Substitute MP = 4, MY = 9 into PY = MP + MY:

[tex]\bar{PY}=4+9[/tex]

Calculate PY = 4 + 9:

[tex]\bar{PY}=13[/tex]

Representing same angles:

[tex]cos A = leg adjacent to <A/hypotenuse:

[tex]cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:

[tex]cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:

[tex]cos(cos A=leg adjacent to <A/hypotenuse:

[tex]cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:

[tex]\frac{b}{13}=\frac{9}{b}[/tex]

Calculate b/13=9/b:

[tex]b=3\sqrt{13}[/tex]

I hope this helps you :)

The volume of the triangular prism is 58.32 in³

Volume is the amount of space occupied by a three dimensional object.

The volume of a triangular prism is given by:

V = Area of triangle * height

Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²

Volume of prism = 38.88 * 1.5 = 58.32 in³

The volume of the triangular prism is 58.32 in³

Find out more on Volume at: https://brainly.com/question/1972490

Answer:

58.32in3

Step-by-step explanation:

i did the test

#a

#b

#c

#d

#e

#f

Same like f(2)

#g

The only option for which the limit exist is option f, while for the other options the DNE.

"If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist. If the graph has a hole at the x value c, then the two-sided limit does exist and will be the y-coordinate of the hole."

Let's check the values of the given quantity exist or not. Therefore, we can write,

(a) f(-2) = DNE

(b) [tex]\lim_{x \to \--2} f(x)[/tex] = DNE

(c) f(0) = DNE because hole are exist

(d) [tex]\lim_{x \to \-0} f(x)[/tex] = DNE

(e) f(2) = DNE

(f) [tex]\lim_{x \to \-2} f(x)[/tex] = 0.5 (exist)

(g) f(4) = DNE

(h) [tex]\lim_{X \to \-4} f(x)[/tex] = DNE

Hence, the only option for which the limit exist is option f.

Learn more about Limit Existence here:

https://brainly.com/question/23470094

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Answer:

width = 8 ft & length = 32 ft.

Step-by-step explanation:

let the width be x and length be 4x.

we know, Perimeter = 2(l+b)

now,

2(4x + x) = 80

10x = 80

x = 80/10 = 8

x = 8

therefore,

width = x = 8 ft

length = 4x = 4 × 8 = 32 ft.

hope this helps you !

Answer:

21/50 ,43.7%, 87/200,0.44

Step-by-step explanation:

The amount of stickers bought in the sticker exchange is an illustration of factors

There were 47 people in the sticker exchange

The number of stickers is given as:

Stickers = 141

Next, we list the factors of 141 in pairs

(x,y) = (1,141), (3,47), (47,3) and (141,1)

Each person bought more than 1 sticker.

So, we have:

(x,y) = (3,47) and (47,3)

Hence, we can conclude that there were 47 people in the sticker exchange

Read more about factors at:

https://brainly.com/question/219464

Answer:

PS = 7

SQ = 7.125

m<QTR = 115

m<TQR = 32.5

Step-by-step explanation:

To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.

To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]

To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.

To find m<TQR, you need to know that a triangle has 180 degrees within it.  Then you need to find one angle.  We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.

Answer:

8t - 5 ≤ 91

8t ≤ 96

t ≤ 12

Christine can spend up to 12 hours in the boat.

Answer:

If this car wash took 4 hours to detail 144. 144/4 = 1/36 meaning that every hour they would detail 36 cars, we can double-check this and multiply 36 by 4 and we will get 144 meaning that this is true and that this car wash detailed 36 cars in an hour.

Answer:

A

Step-by-step explanation:

big brain question :)

Answer:

[tex]G=(2,\frac{5}{3} ).[/tex]

Step-by-step explanation:

Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].

Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]

⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]

⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]

⇒ [tex]G=(2,\frac{5}{3} ).[/tex]

Step-by-step explanation:

That depends on the tension on the tape.

As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.

Answer:

a: 42%

b: don't have the info for

c: 48%

d: don't have info for

e: don't have info for

f: don't have info for

Step-by-step explanation:

sorry I cant answer everything

Answer: distributive property

Step-by-step explanation:

hope it helps u!!

Pls mark me brainliest

axis of symmetry: x=1.5

vertex: (1.5,-4.75)

Answer:

D

lmk if im wrong :)

The expression 8√y/x is equivalent to the given radical expression. The correct answer would be an option (D).

Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.

The radical expression is given as:

√(128x⁵y⁶/2x⁷y⁵)      (Assume x > 0 and y> 0)

Reduce the likewise variables,

√(64y/x²)

8√y/x

Thus, the expression 8√y/x is equivalent to the given radical expression.

Hence, the correct answer would be an option (D) 8√y/x.

Learn more about radical expressions here:

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The complete question is attached below.

Answer is median because aas you can see as the line if divided by its hald angle it equals a median angle.