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3 years ago

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sally needs $20,000 in 4years. she has $10,000 to invest. if interest is compounded continuously, what rate is required for Sall

y to meet her goal?

1 answer:

I am Lyosha [343]3 years ago

7 0

10,000 Because you need to add 10,000 add its going to give you 20,000

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

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3 years ago

I am having trouble with helping a friend on math and the question is

Archy [21]

In simplest form it should be 5/7

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3 years ago

Choose the graph that represents the equation y=3[x+1]+1.

MatroZZZ [7]

Answer:

Step-by-step explanation:

Discussion

You haven't given us any choices. Always do that it you have them. Look for the graph that looks like the one below. It has the following characteristics

It opens upward
It lowest point is -1,1
y never equals zero
The y intercept is 0,4

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2 years ago

I need this by tomorrow night 3/14/2017.

photoshop1234 [79]

Today is 3/14/17 and where is the content at

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3 years ago

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The volumes of two similar solids are 1331 m3 and 216 m3. the surface area of the larger solid is 324 m3. what is the surface ar

zavuch27 [327]

Two solids are said to be similar when their corresponding sides and angles are proportional and congruent. Since the solids here are similar, we calculate as follows:

Assuming the solid is a sphere
V1/V2 = r1^3 / r2^3 = 1331/216 = 6.16203
r1/r2 = 11/6

A1/A2 = (r1/r2)^2
324/A2 = (11/6)^2
A2 = 42.84 m^2

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3 years ago

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