Ask question

Ask question

All categories

2 years ago

6

In 1948, 5 people bought 66 acres of land for $124.00 per acre, In 1967, the same 66 acres was sold and bought for $15,787.25 pe

r acre. What was the mark up from 1967 to 2013?

1 answer:

Shalnov [3]2 years ago

4 0

Answer:

Price decresed to 124.00

Step-by-step explanation:

You might be interested in

Dustin polled 127 drivers late on a Friday night.

Maslowich

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

What is the correct answer to the math problem<br> 20+30×0+1

Bumek [7]

21
is what I got on my calculator

6 0

3 years ago

Read 2 more answers

What are the solutions to the quadratic equation x2 - 16 = 0?

enot [183]

X=4 x=-4 Due to the difference in squares theorem

7 0

3 years ago

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in <em>c)</em>

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

3 years ago

Margie's car can go 32 miles on a gallon of gas, and gas currently costs $4$4 per gallon. How many miles can Margie drive on $20

Gnom [1K]

If she has 32 miles to the gallon, and 20 dollars, then 5*32 gives you your final answer, which is 160.

4 0

2 years ago

Read 2 more answers