Consider the system of differential equations

dx/dt= x+ y=1
dy/dt =1- x^2 +y^2

Required:
Sketch the x-nullcline, where solutions must travel vertically. Identify the regions in the plane where solutions will move toward the right, and where solutions move toward the right.

Answer:

15.1

Step-by-step explanation:

Rounding equation up to the nearest hundred dollars, the car's value 19 years later will be around $2,500.

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9".

Given that new car is purchased for $18,000 and over time its value depreciates by one half every 3.5 years Because the car depreciates by half every six years, the car's value after t years is provided by:

To determine the worth of the car 19 years after purchase, we have to analyse V(19):

y = 2000

y = a(1/2) ^t/h

q = 18000

h= 3.5

t=19

Therefore,

y = 18,000

y=2,500.52211582

y≈2,500

Thus the car's value 19 years later is around $2,500.

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Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

Answer:

Step-by-step explanation:

Given:

Use tangent to solve:

Answer:

Solution given:

In right angled triangle ABC

relationship between perpendicular and base is given by tan angle

tan66°=15/AB

AB=15/tan66°=6.678 ft is your answer.

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

This additition is false

the true answer is 705

Its base on my understanding:)

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Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Answer:

TRUE

Step-by-step explanation:

If that's not the answer you wanted just comment if you need help

Answer:

C

Step-by-step explanation:

[tex]\frac{9}{9}=1[/tex]

[tex]1=\frac{20}{20}[/tex]

[tex]\frac{19}{20} <\frac{20}{20}[/tex]

[tex]\frac{13}{6}=2\frac{1}{6}[/tex]

[tex]1<2\frac{1}{6}[/tex]

Answer:

Bussy

Step-by-step explanation:

Answer:

2.02955

Step-by-step explanation:

Given that:

Susan invests $Z as each year ends for seven years.

So we assume that Z = 1

Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.

The cashflow interest:

The cashflow of Susan interest payments are:

Payments   Time

0                     1

0.05               2

2(0.05)           3

3(0.05)           4

4(0.05)            5

5(0.05)            6

6(0.05)            7

The accumulated value of this cash flow is:

[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]

So Susan accumulated values is:

X = 7 + 1.1653

X = 8.1653

Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.

The cashflow of Lori interest payments are;

Payments    0     0.025     2(0.025)       3(0.025)    .........   13(0.025)

Time             1        2              3                    4            ..........  14

The accumulated value of cash flow is:

[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]

Now, Lori's accumulated value is:

Y = 14 + 2.5719

Y = 16.5719

Since; Susan value X = 8.1653

Lori's value Y = 16.5719

∴

[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]

= 2.02955

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  10.8 hours

Step-by-step explanation:

Mr. Chandler has a head start of ...

  (4.5 h)(60 mi/h) = 270 mi

Mrs. Chandler is closing the gap at the rate of ...

  (85 mph) -(60 mph) = 25 mph

At that rate, she will close the 270 mile gap in ...

  (270 mi)/(25 mi/h) = 10.8 h

It will take Mrs. Chandler 10.8 hours to catch up.

__

After 15.3 hours, Mr. Chandler will have driven 918 miles.

After 10.8 hours, Mrs. Chandler will have driven 918 miles.

9514 1404 393

Answer:

  3)  74°

  4)  260°

Step-by-step explanation:

3) Angle CAE is vertical to angle FAB, which is shown as 121°. Vertical angles are congruent. So, we have ...

  ∠DAE +∠DAC = ∠EAC

  ∠DAE + 47° = 121° . . . . . . . fill in known values

  ∠DAE = 121° -47° . . . . . . . . subtract 47°

  ∠DAE = 74°

__

4) arc MJL is the long arc that completes the circle along with short arc MJ. Short arc MJ has the same measure as its central angle, 100°. Then long arc MJL is 360° -100° = 260°.

  arc MJL = 260°

Answer:

14

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

Answer: It is 30%, and i got proof right here.

Step-by-step explanation:   I got AN (A) on my test so give the first person all those great rating he needs.

Answer: 3rd one

Step-by-step explanation:

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Answer:

65°

Step-by-step explanation:

Answer:

isn't it just 4?

Step-by-step explanation:

according to the table it's just asking you to name what is with x of f(x). I might be wrong though

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

[tex] \frac{6}{8} [/tex]

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

[tex] \frac{3}{4} x + x = 21[/tex]

[tex]1.75x = 21[/tex]

x=12.

Side ST is 12

Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Answer:

5.32 percent of the tip

Answer:

A= 6417

Step-by-step explanation:

A = bh

b = 93

h = 69

A = 93*69

Answer:

Vertical

Step-by-step explanation:

Answer:

∠1 and ∠3 = vertical

Step-by-step explanation:

vertically opposite angles are equal

Answer:

its A  

Step-by-step explanation:

Answer:

30 cm^2

Step-by-step explanation:

the triangle is 36

the rectangle is 6

36-6=30

Answer:

6 - F - R = 2

Step-by-step explanation:

Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:

6 = Starting number

F = Eggs stolen by the fox

R = Eggs stolen by the raccoon

6 - F - R = 2

Answer:

x=-6

Step-by-step explanation:

−5x+10=40

−5x+10−10=40−10

−5x=30

−5x/5=30/5

x=−6

Answer:

Step-by-step explanation:

curtis is 22 min 16 sec carol is 18 min 6 sec

4 mins and 10 seconds it the difference