Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-free investment with a 7% yearly interest rate, compounded continuously.
If yy is the value of the investment, and tt is in years:
dydt=dydt=
Your answer should be in terms of yy.
You start investing at t=0t=0 so y(0)=0y(0)=0.
y(t)=y(t)=
What is the size of your investment after 30 years.

Answer: 8x+2

explanation:

i just solved it

Answer:

8x - 15

Step-by-step explanation:

(2x + 5)(4x -3)

distribute ur numbers

2x * 4x = 8x

5 * -3 = -15

now ur left with 8x - 15 and that is ur answer

Answer:

Variance = 5

Standard deviation = 2.236

0.2650257

Step-by-step explanation:

For a Poisson distribution is σ² = μ.

Given that:

Mean , μ of bankruptcies files per hour = 5

μ = 5

For a Poisson distribution :

P(x = x) = (μ^x * e^-μ) / x!

The Variance and standard deviation :

Variance : σ² = μ = 5

Standard deviation = sqrt(variance) = sqrt(5) = 2.236

B.) Find the probability that at most three businesses will file bankruptcy in any given hour.

P( x ≤ 3) = P(0) + P(1) + P(2) + P(3)

P(x = 0) = (5^0 * e^-5) / 0! = 0.0067379

P(x = 1) = (5^1 * e^-5) / 1! = 0.0336897

P(x = 2) = (5^2 * e^-5) / 2! = 0.0842243

P(x = 3) = (5^3 * e^-5) / 3! = 0.1403738

0.0067379 + 0.0336897 + 0.0842243 + 0.1403738

= 0.2650257

Using the Poisson distribution, it is found that:

a) The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

b) 0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, the mean is of [tex]\mu = 5[/tex].

Item a:

The variance is of 5 while the standard deviation is of 2.24. It means that over many hours, the number of bankruptcies should be within 2.24 of 5.

Item b:

This probability is:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5}(5)^{0}}{(0)!} = 0.0067[/tex]

[tex]P(X = 1) = \frac{e^{-5}(5)^{1}}{(1)!} = 0.0337[/tex]

[tex]P(X = 2) = \frac{e^{-5}(5)^{2}}{(2)!} = 0.0842[/tex]

[tex]P(X = 3) = \frac{e^{-5}(5)^{3}}{(3)!} = 0.1404[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0067 + 0.0337 + 0.0842 + 0.1404 = 0.265[/tex]

0.265 = 26.5% probability that at most three businesses will file bankruptcy in any given hour.

A similar problem is given at https://brainly.com/question/16912674

Answer:

The answer is after 3 weeks you will have the same amount of money

Step-by-step explanation:

5x + 20 = 10x +5

5x - 10x = 5 -20

-5x = -15

x = -15/-5

x = 3

Answer:

The last on I think I'm a check and come back

Answer:

the largest angle is opposite the largest side and the shortest angle is opposite the shortest side

Step-by-step explanation:

From the property of triangles, we know In a triangle, the largest angle is always opposite the largest side and the smallest angle is always opposite the smallest side.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Triangles' characteristic allows us to know The biggest angle in a triangle is always on the other side of the biggest side, and the smallest angle is always on the other side of the smallest side.

Here are some more properties for triangles,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

m > 1

Step-by-step explanation:

Minus 6 from both side

m = 1

Answer:

m(17n - 5nx + 15x)

Step-by-step explanation:

17mn - 5mnx + 15mx

= m(17n - 5nx + 15x)

Answer:

245 1/3

Step-by-step explanation:

Answer:

162,811

Step-by-step explanation:

Answer:

25 acres which is one of your choices

Step-by-step explanation:

Answer:

13/21

Step-by-step explanation:

find common denominator 21

Monday 2/7 = 6/21

Tuesday 1/3 = 7/21

multiply the top by what you did the bottom for the common denominator to get the equivalent fraction

add the two fraction together by keeping the denominator the same

6+7=13

so 13/21

Answer:

you write the inequality in a hazy way, so i got to solve all the possibilities of it , choose the one u need.

Step-by-step explanation:

[tex]case \: 1 \\ 2x - 15 \leqslant 5 \\ 2x \leqslant 20 \\ x \leqslant 10 \\ case \: 2 \\ 2x - 15 < - 5 \\ 2x < 10 \\ x < 5 \\ [/tex]

[tex]case \: 3 \\ 2x - 5 < 5 \\ 2x < 10 \\ x < 5[/tex]

that doesnt make sense

Answer:there were 80 more tickets sold for balcony seats than for orchestra seats

Step-by-step explanation:

Step 1

Let number of tIcket for balcony be represented as x

and

Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be

X+ Y = 300--- equation 1

And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as

4x + 7.50y = 1585----- equation 2

Step 2

X+ Y = 300--- equation 1

4x + 7.50y = 1585----- equation 2

Multiplying equation 1 by 4 and subtracting from equation2

4x + 7.50y = 1585

-4x+4y= 1200

3.50y =385

y =385/3.50

y=110

To find x, when y=110

X+ Y = 300--- equation 1

x+110=300

x= 300-110= 190 tickets

balcony seats  tickets = 190

orchestra seats tickets = 110

Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats

Given:

The vertices of the triangle are (-10,-3), (1,4) and (-1,7).

To find:

The perimeter of the triangle.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the vertices of the triangle are A(-10,-3), B(1,4) and C(-1,7).

Using distance formula, we get

[tex]AB=\sqrt{(1-(-10))^2+(4-(-3))^2}[/tex]

[tex]AB=\sqrt{(1+10)^2+(4+3)^2}[/tex]

[tex]AB=\sqrt{(11)^2+(7)^2}[/tex]

[tex]AB=\sqrt{121+49}[/tex]

[tex]AB=\sqrt{170}[/tex]

Similarly,

[tex]BC=\sqrt{\left(-1-1\right)^2+\left(7-4\right)^2}=\sqrt{13}[/tex]

[tex]AC=\sqrt{\left(-1-\left(-10\right)\right)^2+\left(7-\left(-3\right)\right)^2} =\sqrt{181}[/tex]

Now, the perimeter of the triangle is

[tex]Perimeter=AB+BC+AC[/tex]

[tex]Perimeter=\sqrt{170}+\sqrt{13}+\sqrt{181}[/tex]

[tex]Perimeter\approx 13.038+3.606+13.454[/tex]

[tex]Perimeter=30.098[/tex]

Therefore, the perimeter of the triangle is 30.098 units.

Answer:

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Step-by-step explanation:

Step(i):-

Given that ∠HIG is a right angle triangle

Given∠I = 53°

By using the sine function

[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]

 z = 25 × sin53° = 25×0.798635

z = 19.965 ≅20 m

Step(ii):-

[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]

⇒    [tex]d = sin^{-1} (\frac{4}{5} )[/tex]

⇒   d = 53.13°

Final answer:-

a) side length z = 19.965 ≅ 20m

b) angle 'd' = 53.13°

Answer:

0.2 is the answer .

Hope it helps..

Answer:

The capacity of a carton of ice cream is often measured in pints. A unit equal to 32 fluid ounces, or 4 cups. You often see quarts of milk being sold in the supermarket.

Answer:

Step-by-step explanation:

Pints measure the volume of a fluid. A pint = 16 fluid ounces, while a quart is 2 pints or 32 fluid ounces. Objects holding 16 to 32 fluid ounces are measured in pints.

Answer:

x=9

Step-by-step explanation:

13+14=3x

27=3x

27/3=x

9=x

Answer:

B or C

hope this helps :)

Answer:

600

Step-by-step explanation:

Answer:

4.3362962963

Step-by-step explanation:

A=1/2bh

29.7cm^2=1/2 13.5h

You're gonna multiply each side by 2 to cancel out the fraction equaling,

58.54= 13.5h

You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.

Answer: very happy or excited

Step-by-step explanation: She is happy that she won and is till excited hours later

Answer:

Very happy or excited

Step-by-step explanation:

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Answer:

It is not a polynomial. It is a trinomial. Polynomials have 4 or more terms

Answer:

it is a not polynomial.

Step-by-step explanation:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables,

Step-by-step explanation:

[tex]i) \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{ 3} } [/tex]

[tex] \frac{ \sqrt{6} }{3} [/tex]

[tex]ii) \frac{5 \sqrt{2} }{2 \sqrt{3} } [/tex]

[tex] \frac{5\sqrt{2} }{ 2\sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{2} }{2 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \frac{5 \sqrt{6} }{6} [/tex]

[tex] iii)\frac{15}{ \sqrt{5} } [/tex]

[tex] \frac{15}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } [/tex]

[tex] \frac{15 \sqrt{5} }{5} [/tex]

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

[tex] iv)\frac{ \sqrt{5} }{5 \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{5} }{ 5\sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \frac{ \sqrt{30} }{ 30} [/tex]