4
Drag each value and expression to the correct location on the equation. Not all values and expressions will be used.
A patch of farmland is currently worth $78,125. The expected increase in its market value can be modeled by the function below, where tis the
time in years.
P(t) = 78,125 0.025:
How many years will it take for the farmland's market value to reach $125,000?
6.4
In(1.6)
0.025
18.8
13.6
years
years
Reset
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4Drag Each Value And Expression To The Correct Location On The Equation. Not All Values And Expressions

Answers

Answer 1

Answer: t = 18.8 years

Step-by-step explanation: The modeled function is an exponential function:

[tex]P(t)=78,125e^{0.025t}[/tex]

which is farmland worth along time.

To determine when the farmland will be worth $125,000:

[tex]125,000=78,125e^{0.025t}[/tex]

[tex]e^{0.025t}=\frac{125,000}{78,125}[/tex]

[tex]e^{0.025t}=1.6[/tex]

Apply natural logarithm:

[tex]ln(e^{0.025t})=ln(1.6)[/tex]

And then, power rule:

[tex]0.025t=ln(1.6)[/tex]

[tex]t=\frac{ln(1.6)}{0.025}[/tex]

t ≈ [tex]\frac{0.47}{0.025}[/tex]

t ≈ 18.8

After 18.8 years, the farmland will reach market value of $125,000.

Answer 2

Answer:

Step-by-step explanation:

For all Plato users.

4Drag Each Value And Expression To The Correct Location On The Equation. Not All Values And Expressions

Related Questions

Simplify this expression
.
22z - 11z + 13
[?]z + [ ]

Answers

11z+13
collect your like terms so 22-11=11
11+13
11z+13

Answer:

11z+ 13

Step-by-step explanation:

22z - 11z = 11z

11z+ 13

2 x 2 x 4 x 4 x 4 x 5 x 5 x 5 x 5 use expoments to show your work)

Answers

Answer:

16,000

Step-by-step explanation:

Solving using exponents (picture)

Answer:

2^(2)*4^(3)*5^(4)=160000

Step-by-step explanation:

plz help i dont want to fail plzzzzzz

Answers

3p + 4c = 40 ⇒ 15p + 20c = 200
5p + 2c = 34 ⇒ 15p + 6c = 102
14c = 98
14 14
c = 7
5p + 2(7) = 34
5p + 14 = 34
- 14 - 14
5p = 20
5 5
p = 4
(p, c) = (4, 7)

Answer:

c= 7 p=4

Step-by-step explanation:

3p + 4c = $40

therefore  

15p + 20c = 200

5p + 2c = 34

therefore

15p + 6c = 102

14c = 98

98/14=7

c = 7

5p + 2(7) = 34

5p + 14 = 34

- 14 - 14

5p = 2020/5= 4

p = 4

8/9 -1/3 i don't know

Answers

5/9

brainliest please x

Answer:

5/ 9 ≈0.556

Step by-step explanation:

!!

Write an equivalent expression to 8k-(5+2k) without parenthesis

Answers

Answer:

6k-5

Step-by-step explanation:

8k-(5+2k) write the equation out

8k-5-2k distribute the (-) to everything inside the parenthesis

6k-5 combine like terms

PLEASE HELP!! I've been trying to do this for the past 3 days and I still need help on this question

Answers

Answer:

C

Step-by-step explanation:

plz brainliestt

Answer: it is the 3 one i alredy did thes question if yhhou need more help ask me

Step-by-step explanation:

please help asap!!!


1. ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < d = 2x + 20. Angles B&C are congruent. What is the measure of angles B&C?


2. QRST is a rectangle. RS = 12k +5 and QT = 145. what is the value of 'k'?

Answers

Answer:

∠ B = 123°, ∠ D = 57°

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side.

∠ A and ∠ D are on the same side, then

6x + 12 + 2x + 20 = 180

8x + 32 = 180 ( subtract 32 from both sides )

8x = 148 ( divide both sides by 8 )

x = 18.5

Thus

∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°

∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°

The lower base angles and the upper base angles are congruent, so

∠ B = ∠ A = 123°

∠ C = ∠ D = 57°

Answer:

Step-by-step explanation:

#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.

--- If angle A is acute, then m∠A = m∠D

and

6x + 12 = 2x + 20 ⇒ x = 2

m∠A = m∠D = 24°

m∠B = m∠C = 180° - 24° = 156°

--- If angle A is obtuse, then m∠A + m∠D = 180°

and

6x + 12 + 2x + 20 = 180 ⇒ x = 18.5

m∠A = m∠B = 6(18.5) + 12 = 123°

m∠D = m∠C = 2(18.5) + 20 = 57°

#2). 12k + 5 = 145

12k = 140

k = [tex]\frac{35}{3}[/tex] = [tex]11\frac{2}{3}[/tex]

i am stuck on a question and i need help solving it so, this is my question what is 9n-12=3n if someone could help me i would appreciate it.

Answers

Answer:

The answer is n=1

Step-by-step explanation:

The steps are in the picture. Hope this helps :)

Answer:

n=2

Step-by-step explanation:

I am not sure how to do this I used a different website but I hope this helps just a little bit.

Your Olympic team wins 48 medals in the spring. The medals are gold, silver, and bronze in a ratio of 2 : 1 : 5. How many of each medal did your team win?

Answers

Answer:

12, 6 and 30

Step-by-step explanation:

Step one:

given data

Number of medals = 48 medals

The given ratio is = 2:1:5

The total ratio is = 2+1+5= 8

Step two;

Applying the part to all method

for Gold we have

2/8=x//48

cross multiply

8x= 48*2

divide both sides by 8

x= 96/8

x= 12

gold is 12

for silver we have

1/8=x//48

cross multiply

8x= 48*1

divide both sides by 8

x= 48/8

x= 6

silver is 6

for bronze we have

5/8=x/48

cross multiply

8x= 48*5

divide both sides by 8

x= 240/8

x= 30

Bronze  is 30

22 students is __% of 50 is 10

Answers

Answer:

44

Step-by-step explanation:

i think its right

Find the quotient.

140 ÷ 10

Answers

Answer:

14

when you divide a whole number and its in the 100's, take away the last number and thats your answer for example,

320 divided by 10 equals 32, anyways have a nice day.

Step-by-step explanation:

answer is 14, creds to the other person who answered it lol

simplify the equation(-3)^-4

Answers

Answer:

-12

Step-by-step explanation:

72 7272 so make sure uuyyyu

write the equation of the graphed in NO SPACES ALL LOWERCASE
Help !!

Answers

Answer:

The equation of the graphed line is:

y = 2

Step-by-step explanation:

From the graph, it is clear that the line is a horizontal line at y = 2.

We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.

In other words, the equation of the horizontal line would always get the form:

y = k

where k is the y-intercept of the line.

Determining the y-intercept of the line:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept k = 2

Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation

y = 2

Therefore, the equation of the graphed line is:

y = 2

Miles and kilometers are twi different scales for measuring distances. A 5-kilometer race is approximately 3.1 miles, and a 10-kilometer race id approximately 6.2 miles. Write an equation that shows the approximate distance in kilometers as a function if the distance in miles

Answers

Answer:

[tex]x=\dfrac{y}{0.62}[/tex]

Step-by-step explanation:

[tex]5\ \text{km}=3.1\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{3.1}{5}=0.62\ \text{miles}[/tex]

[tex]10\ \text{km}=6.2\ \text{miles}\\\Rightarrow 1\ \text{km}=\dfrac{6.2}{10}=0.62\ \text{miles}[/tex]

Let [tex]y[/tex] be the distance in miles. So distance in km is given by

[tex]x=\dfrac{y}{0.62}[/tex].

The equation that shows the approximate distance in kilometers as a function if the distance in miles is [tex]x=\dfrac{y}{0.62}[/tex].

PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST

Answers

Answer:

B=12/13

Step-by-step explanation:

Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA

A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.

To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?

9%
15%
21%
57%

Answers

Answer:

15%

Step-by-step explanation:

is 4 a factor of 72

Answers

Answer:

Yes

Step-by-step explanation:

Yes. 72 divided by 4 would be 18, so it is a factor

Answer:

Yes

Step-by-step explanation:

Yes because 4 x 18 = 72

72 divided by 18 = 4

I know this because if you multiply 4 x 18 you will get 72. To check you can do the inverse operation, which is division, so with that being said,  72 divided by 18 = 4.

I explained to so you can have a better understanding. Have a great day!

Find the selling price.

Cost to store: $140

Markup: 25%

The selling price is $

Find the selling price.

Cost to store: $80

Markup: 60%

The selling price is $

Find the selling price.

Cost to store: $50

Markup: 10%

The selling price is $

Answers

Answer:

1.$175

2.$128

3.$55

Step-by-step explanation:

1.

40×.25=35

140+35=175

2.

80×.6=48

80+48=128

3.

50×.1=5

50+5=55

Answer:

1 87.5

2 49.7

3 0.79

4 700

5 4.8825

6 24

7 10

explanation:

sana makatulong

PLEASE HELP ANYONE!!!Write the exponential regression representing the population of Lazy Town as a function of time in years

Answers

Given:

[tex]R^2=0.92,a=8000,b=0.9[/tex].

Exponential regression model is

[tex]y_1\sim a(b)^{x_1}[/tex]

To find:

The exponential regression representing the population of Lazy Town as a function of time in years.

Solution:

We have, [tex]a=8000,b=0.9[/tex].

Exponential regression model is

[tex]y_1\sim a(b)^{x_1}[/tex]        ...(i)

Putting [tex]a=8000[/tex] and [tex]b=0.9[/tex] in (i), we get.

[tex]y_1\sim 8000(0.9)^{x_1}[/tex]

Thus, [tex]y_1\sim 8000(0.9)^{x_1}[/tex] is the required exponential regression representing the population of Lazy Town as a function of time in years.

which description is correct?

an increase by 5/6

a decrease by 5/11​

Answers

Answer:

a decrease by 5/11 I beleive.

Susana walks 1/4 of a mile every thirty
minutes. How far did she walk in 1
hour?

Answers

Answer:

1/2 a mile

Step-by-step explanation:

an hour is 60 minutes long. she walked 1/4 of a mile twice.

200 ÷ 70 ONLY THE ANSWER AND REMAINDER IF THERE IS.

Answers

It will be 00.2 but it’s 2 and the remainder is 60 hope this helps!

Answer:

2 remainder 60!

Step-by-step explanation:

What is a closing balance?"
a. The amount of money you have at the end of the statement period
b. The amount of money you have when you close your account
С The amount of money you owe at the end of the statement period
d The amount of money waiting to be transferred out of your account.

Answers


a. The amount of money you have at the end of the statement period

 ......... you can give me solving

Answers

Answer

The answer to this question is number 2

Hope this helps :)

Pls give me BRAINLIEST


Similar
Not Similar


Please help please

Answers

Answer:

I dont think thats similar

Step-by-step explanation:

Solve the inequality |3t+1| > 8.

Answers

Solve the inequality |3t+1| > 8.

ANSWER

[tex]t < - 3 \:[/tex]

or

[tex]t > \frac{7}{3} [/tex]

PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

please help, I'm really struggling to get my homework done

Identify the asymptotes, domain, and range
f(x)=-1/x+4

Just do number 2 at the least, if you want to do more ill give brainliest

Answers

Domain is -1 and the range is 4.

1.

[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]

x-1 = 0  for  x = 1

so:

Vertical asymptote: x = 1

Domain:  Dom f = R\{1}  {or: Dom f = (-∞, 1)∪(1, ∞)}

Horizontal asymptote:  y = 0

Range:    Ran f=R\{0}  {or: Ran f = (-∞, 0)∪(0, ∞)}

2.

[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]

x-0 = 0  for  x = 0

so:

Vertical asymptote: x = 0

Domain:  Dom f = R\{0}  {or: Dom f = (-∞, 0)∪(0, ∞)}

Horizontal asymptote:  y = 4

Range:    Ran f=R\{4}  {or: Ran f = (-∞, 4)∪(4, ∞)}

3.

[tex]f(x)=\dfrac{1}{x+3}-3[/tex]

x+3 = 0  for  x = -3

so:

Vertical asymptote: x = -3

Domain:  Dom f = R\{-3}  {or: Dom f = (-∞, -3)∪(-3, ∞)}

Horizontal asymptote:  y = -3

Range:    Ran f=R\{-3}  {or: Ran f = (-∞, -3)∪(-3, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]

x+5 = 0  for  x = -5

so:

Vertical asymptote: x = -5

Domain:  Dom f = R\{-5}  {or: Dom f = (-∞, -5)∪(-5, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{-6}  {or: Ran f = (-∞, -6)∪(-6, ∞)}

4.

[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]

x+1 = 0  for  x = -1

so:

Vertical asymptote: x = -1

Domain:  Dom f = R\{-1}  {or: Dom f = (-∞, -1)∪(-1, ∞)}

Horizontal asymptote:  y = -6

Range:    Ran f=R\{3}  {or: Ran f = (-∞, 3)∪(3, ∞)}

5.

[tex]f(x)=\dfrac{1}{x+4}-2[/tex]

x+4 = 0  for  x = -4

so:

Vertical asymptote: x = -4

Domain:  Dom f = R\{-4}  {or: Dom f = (-∞, -4)∪(-4, ∞)}

Horizontal asymptote:  y = -2

Range:    Ran f=R\{-2}  {or: Ran f = (-∞, -2)∪(-2, ∞)}

need help asap please​

Answers

Answer:

-3.4

Step-by-step explanation:

-26=10A+8

-26-8=10A

-34=10A

-34/10=A

-3.4=A

Answer:

a= -17/5 or -3.4

Step-by-step explanation:

Move all terms that don't contain  a  to the right side and solve.

If m<FCB = 84°, then what is m<MCA?​

Answers

Answer: MCA = 84 degree

Explanation:

Angle MCA = FCB (Vertically opposite angle)

So if FCB = 84 degrees

Thus, MCA also equal 84 degrees
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