Use the information in the problem to write an equation. Then use the equation machine to help you solve it.

8 years ago Marcus was 12 years old. How old is he now?

Marcus is _______ years old.

Answer:

y=-3/5 or C

Step-by-step explanation:

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:

Step-by-step explanation:

For all Plato users.

Answer:

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

:. 20 =2(1+2W) +2W

20=2+4W+2W

18=6W

Divide both sides by 6

W =3

2W+1=L

6+1=L

L=7

Hence, length and width are 7in and 3in respectively

Step-by-step explanation:

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

72 inches = 6 feet

18 feet

ookies. OK

How to calculate 12 divided by 4

Long Division

Here we will show you step-by-step with detailed explanation how to calculate 12 divided by 4 using long division.

Before you continue, note that in the problem 12 divided by 4, the numbers are defined as follows:

12 = dividend

4 = divisor

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 12 on the right side like this:

4 ⟌ 1 2

Step 2:

The divisor (4) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

0

4 ⟌ 1 2

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

0

4 ⟌ 1 2

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

0

4 ⟌ 1 2

- 0

1

Step 5:

Move down the 2nd digit of the dividend (2) like this:

0

4 ⟌ 1 2

- 0

1 2

Step 6:

The divisor (4) goes into the bottom number (12), 3 time(s). Therefore, put 3 on top:

0 3

4 ⟌ 1 2

- 0

1 2

Step 7:

Multiply the divisor by the result in the previous step (4 x 3 = 12) and write that answer at the bottom:

0 3

4 ⟌ 1 2

- 0

1 2

1 2

Step 8:

Subtract the result in the previous step from the number written above it. (12 - 12 = 0) and write the answer at the bottom.

0 3

4 ⟌ 1 2

- 0

1 2

- 1 2

Answer:

D. f(x)=900(0.07)^x.1,262

Step-by-step explanation:

You would have to use the P(1+r)^x

P= starting amount

R= rate of change or the percentage changed into a decimal

x= time

So it would be, 900(1+0.07)^5

calculating that you would get 1,262.3. but approximately it's 1,262.

Hope this helped

Answer:

I think it should be 11/3

Answer:

The slope would be -1/2.

Step-by-step explanation:

Since, the midpoint of the segment joining the points P (0, -4) and B (8, 0),

= ( 4, -2 ),

Now, the slope of the line passes through the origin and the point ( 4, -2) is,

= -1/2

Answer:

CD = AC

Step-by-step explanation:

CD = AC.  "bisect" means "to divide in half."  Half of AD is either AC or BC, which are equal to each other.

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1200

2500+1200=3700

Answer:

[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]

Step-by-step explanation:

2x + 4y = -4 ------------------------(1)

3x + 5y = -3 ------------------------(2)

Multiply Eq. (1) by 3

3(2x + 4y) = -4 * 3

6x + 12y = -12 ---------------------(3)

Multiply Eq. (2) by 2

2(3x + 5y) = -3 * 2

6x + 10y = -6 ---------------------(4)

Subtract Eq. (4) from (3)

6x + 12y - ( 6x + 10y ) = -12 - (-6)

6x + 12y - 6x - 10y = -12 + 6

12y - 10y = -6

2y = -6

Divide 2 to both sides

y = -6 / 2

y = -3

Put y = -3 in Eq. (1)

2x + 4(-3) = -5

2x - 12 = -5

Add 12 to both sides

2x = -5 + 12

2x = 7

Divide 2 to both sides

x = 7 / 2

So,

x = 7 / 2 , y = -3

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

.5

Step-by-step explanation:

if you put ur mouse on -2 then move to the right 1.5 you will get .5

Hope this Helps!!!

Answer:

-.5

Step-by-step explanation:

1.5 +-2 is -.5 hope this helps

Answer:

The answer would be YES, it is a dialation

Step-by-step explanation:

Answer:

1/6 lbs

Step-by-step explanation:

2                 1                 1

-        X        -        =        -

3                  4                6

Answer: She ate 5/12 of the turkey.

Step-by-step explanation:

First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.

Next, subtract them!

ex: 2/3= 8/12

1/4=3/12

8/12-3/12=5/12

Answer:

37.5:52.5

Step-by-step explanation:

5u + 7u = 90

12u = 90

u = 7.5

So the angles are (5x7.5) =37.5 degrees

(7x7.5) = 52.5 degrees.

Answer:

(A) Parallelogram is the right answer.

Answer:

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

x = −2

Answer:

x=-2

Step-by-step explanation:

-3x-2=6

6+12=18

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.

Now you follow the division process and then simply the answer and it would be 6.

Answer:

Answer is 6

Step-by-step explanation:

Change 1 1/2 into 3/2

Multiply by the reciprocal: 3/2 x 4/1

3/2 x 4/1 = 12/2

12 divided by 2 = 6

Hope this helps :)

Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

Answer:

52 students or 51

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

y=x^2-2

Step-by-step explanation:

It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y

Answer:

165

Step-by-step explanation:

its the answer trust me rank me brainiest

Answer:

B. 165

Step-by-step explanation:

Table: x = 11 and y = 770

Graph: x = 11 and y = 605

770 - 605 = 165

Step-by-step explanation:

(4x-7)°=(7x-61)°

61-7=7x-4x

54=3x

x=18°

Answer:

Joshua saves 5 less. Its C.

Step-by-step explanation:

Tell me if u need an explanation.

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80

Answer:

D

No repeated x values