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Novosadov [1.4K]

3 years ago

7

Luke has $20 in a savings account that earns 10% interest, compounded annually.To the nearest dollar, how much will he have in h

is account after 2 years?

1 answer:

EastWind [94]3 years ago

8 0

Answer: $528

Step-by-step explanation:

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Is 14 19 23 a right triangle

cestrela7 [59]

Answer:no

Step-by-step explanation: because it is an acute triangle

6 0

3 years ago

The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?

mote1985 [20]

I hope you were looking for this.

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7 0

4 years ago

Read 2 more answers

g Suppose that the populationy(t)of a certain kind of fish is given by the logistic modely′= 3y−2y2(a) Solve the Bernoulli equat

Ksju [112]

Answer:

y = $\frac{3}{2 + 3Ce^{-3t} }$

Step-by-step explanation:

As given , y' = 3y - 2y²

⇒y' - 3y = -2y²

Divide by y² in the above equation

⇒ $\frac{y'}{y^{2} } - \frac{3y}{y^{2} } = -\frac{2y^{2} }{y^{2} }$

⇒ $\frac{y'}{y^{2} } - \frac{3}{y } = -2$ ........(1)

Now , let $\frac{1}{y}$ = u

⇒- $\frac{1}{y^{2} } \frac{dy}{dt} = \frac{du}{dt}$

⇒- $\frac{1}{y^{2} }y' = \frac{du}{dt}$

∴ equation (1) becomes

- $\frac{du}{dt}$ - 3u = -2

⇒ $\frac{du}{dt}$ + 3u = 2

It is a linear differential equation

Now,

Integrating factor = I.F = $e^{\int\limits {3} \, dt }$ = $e^{3t}$

∴ The solution becomes

u.(I.F) = $\int\limits {2.(I.F)} \, dt$ + C

⇒u.( $e^{3t}$ ) = $\int\limits {2.(e^{3t} )} \, dt$ + C

⇒u.( $e^{3t}$ ) = $\frac{2e^{3t} }{3}$ + C

⇒u = $\frac{2}{3} + Ce^{-3t}$

As $\frac{1}{y}$ = u

⇒ $\frac{1}{y}$ = $\frac{2}{3} + Ce^{-3t}$

⇒ y = $\frac{1}{\frac{2}{3} + Ce^{-3t} } = \frac{3}{2 + 3Ce^{-3t} }$

⇒ y = $\frac{3}{2 + 3Ce^{-3t} }$

6 0

3 years ago

Colin’s band class collects plastic bottles to recycle. The center pays 0.02 for each pound of material. Write a formula to help

Agata [3.3K]

Answer:

N times 0.02 = T

Step-by-step explanation:

4 0

3 years ago

Which expression is equivalent to ?

pav-90 [236]

Answer :
84x-16y-10.6

Solution :
2(14x-3y+28x+12.2-5y-17.5)
= 28x-6y-56y+24.4-10y-35
= 84x-16y-10.6

5 0

3 years ago