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noname [10]
2 years ago
14

Which is one difference between fixed rate mortgages and variable-rate mortgages?

Mathematics
1 answer:
statuscvo [17]2 years ago
7 0
<span>The difference between a fixed rate and an adjustable rate mortgage is that, for fixed rates the interest rate is set when you take out the loan and will not change. With an adjustable rate mortgage, the interest rate may go up or down. </span>
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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and
zloy xaker [14]

Answer:

(0,0)   (4000,0) and (500,79)

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW

\frac{dW}{dt} = -0.02W + 0.00004RW

To solve this, we first equate \frac{dR}{dt} and \frac{dW}{dt} to 0.

So, we have:

0.09R(1 - 0.00025R) - 0.001RW = 0

-0.02W + 0.00004RW = 0

Factor out R in 0.09R(1 - 0.00025R) - 0.001RW = 0

R(0.09(1 - 0.00025R) - 0.001W) = 0

Split

R = 0   or 0.09(1 - 0.00025R) - 0.001W = 0

R = 0   or  0.09 - 2.25 * 10^{-5}R - 0.001W = 0

Factor out W in -0.02W + 0.00004RW = 0

W(-0.02 + 0.00004R) = 0

Split

W = 0 or -0.02 + 0.00004R = 0

Solve for R

-0.02 + 0.00004R = 0

0.00004R = 0.02

Make R the subject

R = \frac{0.02}{0.00004}

R = 500

When R = 500, we have:

0.09 - 2.25 * 10^{-5}R - 0.001W = 0

0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0

0.09 -0.01125 - 0.001W = 0

0.07875 - 0.001W = 0

Collect like terms

- 0.001W = -0.07875

Solve for W

W = \frac{-0.07875}{ - 0.001}

W = 78.75

W \approx 79

(R,W) \to (500,79)

When W = 0, we have:

0.09 - 2.25 * 10^{-5}R - 0.001W = 0

0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0

0.09 - 2.25 * 10^{-5}R = 0

Collect like terms

- 2.25 * 10^{-5}R = -0.09

Solve for R

R = \frac{-0.09}{- 2.25 * 10^{-5}}

R = 4000

So, we have:

(R,W) \to (4000,0)

When R =0, we have:

-0.02W + 0.00004RW = 0

-0.02W + 0.00004W*0 = 0

-0.02W + 0 = 0

-0.02W = 0

W=0

So, we have:

(R,W) \to (0,0)

Hence, the points of equilibrium are:

(0,0)   (4000,0) and (500,79)

4 0
2 years ago
When an article is sold for $132.00, a profit of 10% is made. The cost of the<br> article is?
Orlov [11]

Answer:

118.8

Step-by-step explanation:

Profit=10%

=10/100 × $132

=$13.2

Cost price=Selling price- Cost price

=$132-$13.2

=$118.8

3 0
2 years ago
What is 4e+21= what
love history [14]

<em>The result can be shown in both exact and decimal forms. </em>

<em>Exact Form: </em>

<em>4 e + 21 </em>

<em>Decimal Form: </em>

<em>31.87312731 …</em>

Thanks,

<em>Deku ❤</em>

6 0
3 years ago
A baker sells cookies for 1.5 each. If a minimum of two dozen cookies is ordered
topjm [15]
36.00 that is the answer
3 0
3 years ago
A boat traveled 240 miles downstream, then 240 miles back up stream. The trip downstream took 20 hours. The trip back up stream
MaRussiya [10]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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