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3 years ago

if you invest $4,000 in an account that earns 3% interest. How much will you have in the account in 10 years?

Mathematics

1 answer:

Dmitrij [34]3 years ago

4 0

Answer:

18,000

Step-by-step explanation:

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Elza [17]

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Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1

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Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

Integrate both sides.

$\displaystyle \int y\,dy = \int x\,dx$

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Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

$\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12$

$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

$\boxed{y(x) = -\sqrt{x^2+1}}$

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2 years ago

The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4

prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

$a(l) = \frac 12 l^2$

When l = 1, we have:

$a(1) = \frac 12 \times 1^2$

$a(1) = 0.5$

When l = 2, we have:

$a(2) = \frac 12 \times 2^2$

$a(2) = 2.0$

When l = 3, we have:

$a(3) = \frac 12 \times 3^2$

$a(3) = 4.5$

When l = 4, we have:

$a(4) = \frac 12 \times 4^2$

$a(4) = 8.0$

Represent the above results as a table, we have:

l a(l)

1 0.5

2 2.0

3 4.5

4 8.0

Read more about tables and functions at:

brainly.com/question/13136492

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3 years ago

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zimovet [89]

Answer:

8 cans

Step-by-step explanation:

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3 years ago

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Pani-rosa [81]

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