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Finding a final amount in a word problem on exponential growth or decay

A car is purchased for $23,500. After each year, the resale value decreases by 35%. What will the resale value be after 4 years?
Use the calculator provided and round your answer to the nearest dollar.

Answer:

B. (f-g)(x)=4^x-1-2x+11

(f-g)(x) = (4^x-1+6) - (2x-5)

apply like terms while retaining order of operations

6 - (-5) = 11

4^x - 1 - 2x + 11

Step-by-step explanation:

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

The volume of smaller cone is 8.4 cm³

The volume of a cone formula is given as one-third the product of the area of the circular base and the height of the cone. According to the geometric and mathematical concepts, a cone can be termed as a pyramid with a circular cross-section. By measuring the height and radius of a cone, you can easily find out the volume of a cone. If the radius of the base of the cone is "r" and the height of the cone is "h", the volume of cone is given as V = (1/3)πr²h.

By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.

We know, h² + r² = L²

⇒ h = √(L² - r²)

where,

h is the height of the cone,

r is the radius of the base, and,

L is the slant height of the cone.

The volume of the cone in terms of slant height can be given as V = (1/3)πr²h = (1/3)πr²√(L² - r²).

Given:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

Then,

5³ / 2³ = 131 / v

v = 2³ * 131 / 5³

v = 8 * 131 / 125

v = 8.384 cm³

Learn more about volume here:

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Answer:

quart of oil = $1.25

labour = $13.25

Step-by-step explanation:

let x = cost of each quart of oil

y = flat fee for labour

two equations can be formed from the question

5x + y = 19.50 equation 1

7x + y = 22       equation 2

subtract equation 1 from 2

2x = 2.5

divide both sides by 2

x = 1.25

substitute for x in equation 1

5(1.25) + y = 19.50

y = 19.50 - 6.25

y = $13.25

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

Answer:18.75

Step-by-step explanation:

Answer:

.06666666666

Step-by-step explanation:

Ans

Step-by-step explanation:

1/.15

Answer:

63%

Step-by-step explanation:

A white marble was selected 41 out of 65 times, making the probability of getting white 41/65.

To convert this to percent, divide 41 by 65, then multiply by 100%.

41/65 = 0.630769 = 63% (rounded)

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

For a cube :

[tex] \boxed{Area = 6a {}^{2} }[/tex]

( a represents measure of each side )

measure of each side = 3 cm

[tex] \boxed{volume = {a}^{3} }[/tex]

[tex] \#TeeNForeveR[/tex]

area = 54 Cm²

Volume

area = 6a²

54 = 6a²

a² = 54/6

a = √9

a = 3 Cm

v = a³

= 3 x 3 x 3

= 9 x 3

Answer:

19 is the square root of 361.

Answer:

answer: 19

Step-by-step explanation:

Hello love square roots are just the same number multiplied by itself so now we need to figure out what multiplied by itself = 361 well 19 x 19 = 361 so 19 is the square root of 361 Hope this helps!

Answer:

(3,2)

Step-by-step explanation:

The vertex is where the two rays meet at a point

The vertex is at x=3 and y =2

(3,2)

Answer:

201.06in^2

Step-by-step explanation:

Use area formula which is pi(r)^2

Answer:

200.96 in.

Step-by-step explanation:

**THE PRIZE WHEEL IS THE SHAPE OF A CIRCLE.**

The formula for area of a circle is: πr² (3.14 × radius × radius).

**3.14 IS COMMONLY USED FOR PI**

According to the word problem, the prize wheel has a radius of 8.

πr² (3.14 × radius × radius)

π8² (3.14 × 8 × 8) = 200.96

Therefore, the area of the prize wheel is 200.96 in.

Answer:

I hoped this helped.

Step-by-step explanation:

1. fined base shaped like rectangles and squares

2. find the area of those shaped using length times width

3. the the areas to find the area of the composite figure

Step-by-step explanation:

[tex] {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i[/tex]

Answer:

210 yd³

Step-by-step explanation:

Volume of a triangular prism

= the area of a triangular base × the height

The area of the base

= (10×7)÷2

= 35 yd²

The volume of the prism

= 35 × 6

= 210 yd³

Answer:

3/136

Step-by-step explanation:

128 + 3 + 5 = 136

= 3/136 (simplest form)

Answer:

C

Step-by-step explanation:

1/2 is equal to 2/4 so 1/2 is greater than 1/4

Answer:

C

Step-by-step explanation:

A)

[tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{4}{8} < \frac{1}{8}\ is\ wrong!\ Therefore\ A\ is\ wrong[/tex]

B)

[tex]\frac{2}{1} = \frac{4}{2}[/tex]

[tex]\frac{1}{2} = \frac{4}{2}\ is\ wrong!\ Therefore\ B\ is\ wrong[/tex]

C)

[tex]\frac{1}{2} = \frac{2}{4}[/tex]

[tex]\frac{2}{4} > \frac{1}{4}\ is\ correct!\ Therefore\ C\ is\ correct[/tex]

D)

[tex]\frac{1}{2} = \frac{2}{6}[/tex]

[tex]\frac{2}{6} < \frac{1}{6}\ is\ wrong!\ Therefore\ D\ is\ wrong[/tex]

Answer:

C) [1, 2, 3, 4, 5, 6]

Step-by-step explanation:

Sample space is all possible outcomes of the event so she could roll any number on the die.

Answer:

5,6 she needs a higher number not anything lower then 5 or 6.

Step-by-step explanation:

Answer:

$9.50

Step-by-step explanation:

Answer: the unit rate is $9.50

and graph x to (0,0) and y to (1,9.5)

Step-by-step explanation:

Answer:

A.) 3[tex]\sqrt[3]{10}[/tex]

Step-by-step explanation:

 x3 = 270

      ↓

[Take the root from from both sides and solve]

      ↓

 x = 3[tex]\sqrt[3]{10}[/tex]

[Assuming you couldn't paste the square root symbol and subscript numbers, the answer should be A]

      ↓

 A.) 3[tex]\sqrt[3]{10}[/tex]

[ANSWER CHOICES]

 A.) x = 3 10

 B.) x = 10 3

 C.) x = 30 9

 D.) x = 9 30

Answer:

-3.8=n

Step-by-step explanation:

My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8

Answer: 20√2

Step-by-step explanation:

Answer:

it is point A

Step-by-step explanation:

because it is in the centre of the ghraph and that's the origin

Answer:

y=3x-9

Step-by-step explanation:

Hi there!

we are given a point (4,3), and a line (y=-1/3x+4)

Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1

first, let's find the slope of the new line.

we can find it with this formula: (m=slope)

-1/3m=-1

multiply both sides by -3

m=3

here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept

y=3x+b

we need to find b

Because the line passes through the point (4,3), we can use it to find b

substitute x as 4 and y as 3

3=3(4)+b

multiply

3=12+b

-9=b

substitute into the equation

y=3x-9

Hope this helps!