A new car is purchased for $42,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $5,800?

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

Learn more about exponential growth or decay here:

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Answer:

10.75 would be a 64 ring size in the US

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

To learn more about an equivalent expression visit:

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Answer:

169 farmers raised chickens last year.

Step-by-step explanation:

Given that:

Number of farmers raising chickens this year = 220

This is 30% more than previous year.

Let,

100% be the percent of previous year and x be the number of farmers who raised chicken previous year.

Percent of farmers who raised chickens this year = (100+30)% = 130%

130% of x = 220

[tex]\frac{130}{100}x = 220[/tex]

1.3x = 220

Dividing both sides by 1.3

[tex]\frac{1.3x}{1.3}=\frac{220}{1.3}\\x=169.23[/tex]

Rounding to nearest whole number

x = 169

Hence,

169 farmers raised chickens last year.

Answer:

0.51 ,8/9, 3/5

Step-by-step explanation:

that is pretty self explanatory, i hope that helps!

Answer:  rate of change = 2

===============================

Explanation:

Apply the slope formula. I'll use the first two columns as the two points, but you can use any two columns you want.

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-1)

m = 4/2

m = 2

The slope is 2, so the rate of change is 2. Slope and rate of change describe the same thing. Each time x goes up by 1, y goes up by 2.

Answer:Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. ... The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs.

Step-by-step explanation:

Answer:

Cheyenne can only buy 4 snacks for 1 week, and Ahmed can buy 14 snacks for 1 week

Step-by-step explanation:

12/3 =4

7/0.50=14

Hope this helped! if not Please tell me! :)

Answer:

x interprets: 2,0

y interprets: 0,3

Step-by-step explanation:

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.4(12−3x)=0.3(12x−16)

(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)

4.8+−1.2x=3.6x+−4.8

−1.2x+4.8=3.6x−4.8

Step 2: Subtract 3.6x from both sides.

−1.2x+4.8−3.6x=3.6x−4.8−3.6x

−4.8x+4.8=−4.8

Step 3: Subtract 4.8 from both sides.

−4.8x+4.8−4.8=−4.8−4.8

−4.8x=−9.6

Step 4: Divide both sides by -4.8.

−4.8x /−4.8  =  −9.6 /−4.8

x = 2

Answer:

E

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

Make the mixed number into an improper fraction first

- 1 11/20 = -31/20

-31 ÷ 20 = -1.55

-1.55 = -1.55

or

-1.55 = - 1 11/20

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

-1.55 = -1.55

or

-1.55 = - 1 11/20

i love bunnies

Answer:

A and C and E

Step-by-step explanation:

All these answers are true because the line is always constant, the slope is going down so therefore negative, and the equation is correct because you can fill in any value and they would be correct.

Answer:

Tanisha's lunch cost $9.22.

Step-by-step explanation:

Given that,

Total bill = $18.94

Cost for Madison cost = $9.72

Total cost = Tanisha's lunch + Madison's lunch

18.94 = Tanisha's lunch + 9.72

Tanisha's lunch = 18.94 - 9.72

Tanisha's lunch = 9.22

So, Tanisha's lunch cost $9.22.

Answer:

Least common denominator is the lowest number in similarity that a fraction can share and be divided into

Step-by-step explanation:

For example, in this example 1/5, and 1/2 the least common denominator would be 10 because when putting these fractions together you might want to find the total of what they equal. For example, think of this example as a pizza, to make one whole pizza in the first one would be 5 pieces but instead of all five pieces, all you have left is 1 piece of the five. so you only have 1/5. now just imagine you had another pizza the same size of the first one but instead of five pieces you it's only two pieces however, from this two piece pizza all you have left is 1/2. You want to find the in terms of what fraction would make them both equal each other in which you would eventually be able to find out how much pizza you would have left.  The denominator is the lower number under the fraction where that is the one most needed for a fraction to change. The least common denominator is a number that goes into both fractions that in reverse can be divided by against each other. our denominators are 5 and 2. Numbers that are divisible are 10, 20, 40 and so on since 5x2=10, 2x5=10; 5x4=20, 2x10=20; 5x8=40, 2x20=40. The least common denominator would be the lowest number which in this case would be 10.

Answer:

e

Step-by-step explanation:

e im not sure

Answer:

what shape is it? for example a triangle etc

Answer: A,C

Step-by-step explanation: I looked it up

Answer:

C and D because Linear means something related to a line.

Answer:

D

Step-by-step explanation:

Answer:

it's c

Step-by-step explanation:

4 times 10 times 6 is 240 and you use volume because its by 3 values.

hope this helped!

Answer:

The area is 5 cm

Answer:

5 cm²

Step-by-step explanation:

The diagonal divides the rectangle into 2 right triangles with legs 5 and 2

The area (A ) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

   = 0.5 × 5 × 2 = 0.5 × 10 = 5 cm²

Answer:

D

Step-by-step explanation:

add them together

nice :) good for u, wish i could just say that straight up lol