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47 The figure below shows Andrew's plan for a deck. 24 ft 22 ft 12 ft 33 ft [not drawn to scale] Find the area, in square feet, of the deck.
Show your work,​

Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

In which:

In this problem:

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]

[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

The value would be of $3,800 at t for which A(t) = 3800, hence:

[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]

[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]

[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]

[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]

[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]

[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]

t = 19.68.

It would take 19.68 years for the value of the car to be $3,800.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

t≈19.7

Step-by-step explanation:

I do not have one, I apologize.

Answer:

h < -3

Step-by-step explanation:

2 < -19 - 7h

2 + 19 < -7h

21 < - 7h

21/7 < -h

bringing -h to the left

-h > 3

changing the sign to positive h

h < -3

solution set : {h < -3}

Hope that helps...

Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

The rate of change of Julian given the equation y = 37.8x is 37.8

The equation:

y = 37.8x

where,

If x = 3 gallons

y = 37.8x

= 37.8 × 3

y = 113.4 miles

Learn more about rate of change:

https://brainly.com/question/8728504

Answer:

$22.26

Step-by-step explanation:

To solve, all we need to do is 28(1-.25) to get 21, then we set up the equation 21(1+.03) and we get our total for the price.

we subtract in the first place, because it is a discount, and we add in the second one because it is a sales tax.

please rate and mark as brainlest.

Step-by-step explanation:

the total surface area is the sum of the individual areas on the surface.

we have

2 triangles (top and bottom)

1 front rectangle

2 rectangles in the back

the area of a triangle is

baseline × height / 2

1.7 × 0.5 / 2 = 0.425 in²

both triangles together : 2×0.425 = 0.85 in²

the area of a rectangle is

length × width

so, the front is

1.7 × 1.5 = 2.55 in²

one back rectangle is

1 × 1.5 = 1.5 in²

both back areas are 2×1.5 = 3 in²

so, the total surface area is

0.85 + 2.55 + 3 = 6.4 in²

Answer:

2 eggs

Step-by-step explanation:

Use a proportion.

48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.

48/8 = 12/x

Reduce the left fraction.

6 = 12/x

Multiply both sides by x.

6x = 12

Divide both sides by 6.

x = 2

Answer: 2 eggs

Answer:

7 over 8

Step-by-step explanation:

Change all the numerators over the least common denominator. 1+4+2 over 8.

Answer:

Step-by-step explanation:

Answer:

Point form=(-6,-2)

Equation Form= x=-6, y=-2

Step-by-step explanation:

Now

Equation in slope intercept form

If each GB be x

Here

Option A is correct

Answer:

height : 150 feet

Step-by-step explanation:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using tan rule:

[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]

[tex]\hookrightarrow \sf b = tan(62)*80[/tex]

[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]

Answer:

[tex]\approx 150 \: ft[/tex]

Step-by-step explanation:

recall sohcahtoa

here,

To find:

since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,

So,

[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]

[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]

using calculator,we acquire

[tex] \implies \: h \approx 150 \: ft[/tex]

hence, the height of the building is approximately 150ft

Answer:

m= [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\\m=\frac{5--2}{7-3} \\m=\frac{5+2}{4}\\ m=\frac{7}{4}[/tex]

First, define what equation needs to be used. We need to use the slope formula to find the answer.

Next, we substitute the x and y values into their respective places.

Last, simplify the equation!

answer:40

Step-by-step explanation:

a quarter is 25

a dime is 10

a nickle is 5

25+10+5=40

Answer:

Step-by-step explanation:

y=Mx+c

M=6 c=-2

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

Transformation is the movement of a point from its initial location to a new location.

Types of transformation are rotation, translation, dilation and reflection.

To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4

Find out more on transformation at: https://brainly.com/question/4057530

Answer:

1

(

π

3

)

)

Step-by-step explanation:

Explanation:

Substitute

tan

(

y

x

)

for

θ

tan

(

y

x

)

=

π

3

Obtain

y

x

on the left by using the inverse tangent on both sides:

tan

−

1

(

tan

(

y

x

)

)

=

tan

−

1

(

π

3

)

y

x

=

tan

−

1

(

π

3

)

Multiply both sides by x:

y

=

(

tan

−

1

(

π

3

)

)

x

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

[tex]\rightarrow[/tex] Volume of prism.

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

Let's see

[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]

Graph attached

Axis of symmetry

Answer:

axis of symmetry: x = 2

vertex:  (-2, 13)

Step-by-step explanation:

Given function

[tex]\sf y=6x^2-24x+11[/tex]

Vertex form

[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex

Expand vertex form:

[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of expanded vertex form with given function:

coefficient of [tex]\sf x^2[/tex]:  

⇒ a = 6

coefficient of [tex]\sf x[/tex]:  

⇒ -2ah = -24

⇒ ah = 12

⇒ 6h = 12

⇒ h = 2

constant:

⇒ [tex]\sf ah^2+k=11[/tex]

⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]

⇒ [tex]\sf 24+k=11[/tex]

⇒ [tex]\sf k=-13[/tex]

Vertex

Vertex = (2, -13)

Axis of symmetry

Axis of symmetry is when x = h

Therefore, axis of symmetry is x = 2

Answer:

(-4,0)

Step-by-step explanation:

Answer:

Division is the opposite of multiplication

Step-by-step explanation:

Opposites:

Addition and subtraction

multiplication and division

differentiation and integration.

Answer:

AROUND $0.20 per mile

Step-by-step explanation:

605/3052 is around 0.198, which rounds to 0.20.

Answer:

4x+y-4=0

Step-by-step explanation: For an equation to be parallel to another all it needs is the same slope but a different y-intercept. So you can really other equations like 4x+y-3=0, 4x+y-5=0, 4x+y-6=0, etc. can be the answer to your problem.

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

Answer:

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) (6x6) / 26x6 = 3636 / 2 = 18 The area of the isosceles triangle is 18 square centimeters.

Step-by-step explanation:

Answer:

someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort

Step-by-step explanation:

i hope this helps!!

Answer:

C

Step-by-step explanation:

this was quite the toungue twister