The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. in 2016, there were 3,400 acres of undeveloped land. if t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining?

Answers

Answer 1

Based on the rate of decrease and the acres of undeveloped land, the equation to determine the number of years till 900 acres is remaining is B)900 = 3,400(0.827)^t.

Which equation shows the number of years till 900 acres are remaining?

As 900 acres is the target number of acres to remain, this will be on the left side of the equation as the y value.

The right side of the equation would be:

= Current number of acres remaining x ( 1 - rate of decrease) ^ number of years

= 3,400 x ( 1 - 17.3%) ^ number of years

Putting them together:

900 = 3,400(0.827)^t.

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Related Questions

i need help on this please​

Answers

Answer: 9420 in^3

Step-by-Step Explanation:

h = 30 in
r = 10 in

Volume = π * r^2 * h

Therefore,

= π * r^2 * h
= 3.14 * 10^2 * 30
= 3.14 * 10 * 10 * 30
= 314 * 30
= 9420 in^3

Therefore, V = 9420 in^3

=> The figure will be the same when rounded off to tenth.
volume of a cylinder = π r² h

r = 10
h = 30

v = π(10 ²)(30)

v = 9425

Radius & Diameter
Easy: 51
A. Choose the correct choice.
1) A circle has a circumference of 1211 yd. What is the diameter of the circle?
a) 12 yd
b) 6 yd
c) 18 yd
2) A wire of length 281 in is bent to form a circle. What is the radius of the circle?
a) 28 in
b) 19 in
C) 14 in
3) A circular park has a circumference of 361 yd. Find its diameter.
a) 18 ya
b) 36 yd
c) 12 ya
4) The tip of the minute-hand travels 2211 in in one hour. Find the length of the minute-hand.
a) 11 in
b) 10 in
c) 22 in
5) The circumference of a bicycle wheel is 6n in. Find the diameter of the wheel.
a) 12 in
b) 6 in
c) 3 in
B. Find the radius and diameter in each question.
S.No
Circumference
Radius
Diameter
6.
10л ft
7.
24n in
8.
341 ya
9.
407 in
10.
167 ft

Answers

Answer:

a,c,b,a,b

Step-by-step explanation:

6.

7.

8.

9.

10.

Circumference

10π ft

24π in

34π yd

40π in

16π ft

Radius

5 ft

12 in

17 yd

20 in

8 ft

Diameter

10 ft

24 in

34 yd

40 in

16 ft

f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)

a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5​

Answers

Answer:

First step is to plug in the given values :

[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]

Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.

[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]

Collect like terms

[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]

[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]

------------------- HappY LearninG <3 -------

pls give the steps as well ​

Answers

Answer:

-6.4

Step-by-step explanation:

√2(√3×2 - √1×8) = -6.41472901342

Round to the nearest tenth = -6.4

can anyone help with this? i dont know it

Answers

B=27

It is a right angle and right angles add up to 90 degrees.


63+27=90

17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.

Answers

Answer:

46.7

Step-by-step explanation:

Sp-Cp

$44-$30=$14

14/Cp x 100

= 14/30 x 100=46.66%

Ans= 46.7%

Proof

% x CP

46.66/100 x $30= $13.998

$13.998= SP-CP

Hope it helps

Jim's got profit percentage is 46.67%

What is profit percentage?

Profit percentage is refer to "the amount of profit that has been incurred in terms of  percentage".

According to the question,

Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.

In order to find profit percentage we have to use formula.

Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100

= [tex]\frac{(44-30)}{30}[/tex] × 100

= [tex]\frac{14}{30}[/tex] × 100  

= 46.6667%  ≈ 47%

Hence, Jim's got profit percentage is 46.67%.

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Which of the following can be the third side of a triangle whose other two sides measure 8 inches and 10 inches

A) 17inches
B) 18inches
C) 19 inches
D) 20 inches

Answers

It has to be A. Hope that helps.


Determine the following probabilites based on a standard deck of cards

1) Pblack or heart)=
2) Pired or 10) =
3) P(Q or 6) =
4) P(5 or club) =
5) P(picture card or 4) =
6) P(black 9 or red) =

There are 52 cards total.
Hearts and diamonds are red.
Clubs and spades are black
LQ and K are called picture cards.

Answers

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.


P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4


P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?

Answers

Answer:

3.2m

Step-by-step explanation:

First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!

Answer:

6 m.

Step-by-step explanation:

Remaining length = 18.4 - 6.4 = 12 m

So the length of each swing rope

= 12/2

= 6 m.

help plea i am beg screenshot in

Answers

Answer:

SA = 105 in^2

Step-by-step explanation:

To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.

Area of a triangle:

A = 1/2b•h

= 1/2• 5 • 8

= 1/2 • 40

= 20

One triangle has area 20, so times by 4 (bc four triangles)

4•20

= 80

Area of square 5•5

= 25

Add the areas:

80 + 25

= 105 sq in

Kenzie is looking for a __ job. She would most likely be paid __

Answers

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.

Answers

The expected value of the defective skateboard will be 4/25. Then the correct option is B.

What is probability distribution?

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table, etc.

The table is shown below.

Then the expected value of the defected skateboard will be

p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100

p = 1/20 + 2/25 + 3/100

p = 5/100 + 8/100 + 3/100

p = 16/100

p = 4/25

More about the probability distribution link is given below.

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Write a quadratic equation that has only one real-number solution

Answers

The equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

If the quadratic equation has only one solution, then

[tex]\rm b^2 - 4ac = 0[/tex]   or

[tex]\rm b^2 = 4ac[/tex]

[tex]\rm x = \dfrac{-b}{2a}[/tex]

2ax = - b

(2ax+b) = 0

(2ax+b)² = 0  (square on both sides)

[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]

Thus, the equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

Learn more about quadratic equations here:

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Are there real-world examples of both two- and three-dimensional figures?
if so what are they?

Answers

Answer:

yes

Step-by-step explanation:

because a shadow cab be expressed by a two dimension

Locate √13 √17 on number line. (Please step by step explanation or preferably done in notebook) I’ll mark brainless the best answer

Answers

Explanation:

Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.

Numbers provided:

√13 = 3.605551275 ≈ 3.61

√17 = 4.123105625 ≈ 4.12

Step by Step Solving:

The number 3.61 will be between 3.5 and 3.7The number 4.12 will be between 4 and 4.2

Plot the points (circled area's):

Alicia found $1.90 on the beach. Her brother found three times as much money. How much money did Alicia and her brother find in total? $5.70 $7.60 $9.60 $11.40

Answers

7.60, 1.90 times 3 is 5.7 and then you add alicias money to that and it makes 7.6

Answer:

$7.60

Step-by-step explanation:

If you multiply 19.0 by 4 then you get $7.60

Please help with this maze

Answers

Answer:

go down then go right

Step-by-step explanation:

if [tex]\frac{1}{x} +\frac{2}{3x} =4[/tex], what is the value of x

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Hope it helps............

Solve: (6 • 6 + (-3)) ÷ 11
please

Answers

Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

Is the point (2,-11) on the circle with radius 5 and center (2,13)?

Answers

Answer:

No

Step-by-step explanation:

Identify the equation for the circle

[tex](x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-13)^2=5^2\\(x-2)^2+(y-13)^2=25[/tex]

Check if (2,-11) is a point on the circle

[tex](x-2)^2+(y-13)^2=25\\(2-2)^2+(-11-13)^2=25\\0^2+(-24)^2=25\\576\neq25[/tex]

Since both sides of the equation are not equal to each other, then (2,-11) is not a point on the circle.

The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of
luggage. The average weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to
find the number of passengers, p, the plane could carry.
A. 150p+1750 ≤2500; p ≤5
B. 150+1750p ≤2500; p ≤ 1.3
C. 150p-1750 ≤2500; p ≤ 28.3
D. 150p+2500 2 1750, p 2-5

Answers

Answer:

I think its A but not sure it's the one that makes the most sense though

five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?​

Answers

Answer:   The fifth number is 5

Step-by-step explanation:

What is the answer please?

Answers

Step-by-step explanation:

answer 3 is correct.

the result is clearly shifted (translated) and then enlarged (dilation).

the dimensions of the side lengths all follow the same scale factor (2).


HELP ME PLEASEEEEE

Answers

Answer:

x = 4

Step-by-step explanation:

x(x + 8) = 48

x² + 8x = 48

x² + 8x - 48 = 0

times into -48

add into 8

(x - 4)(x + 12) = 0

x - 4 = 0

x = 4

or

x + 12 = 0

x = -12

A length cannot be a negative number therefore x = 4

QUICK PLSSS im bout to be grounded

Answers

Answer:

35

Step-by-step explanation:

Mr harris wants to know if the new tardy policy is effective how can he find out without using a biased survey

Answers

How about asking your teacher for some help

How many edges does this shape have?

Answers

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

Solve the equation -15=8z+7.
z=

Answers

z=-11/4. Hope that helped.

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

How would logx (49) = x look like in exponential form

Answers

I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]

If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]

This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]

For both equations, the 'b' is the base.

(see image) please help I need help with this math problem * i give brainlist

Answers

Answer: a) g(x)=(x-5)^2-6
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