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tamaranim1 [39]

3 years ago

5

Will MARK BRAINLIEST!!! Jason invests $8,264 in an account that earns an annual interest rate of 4%. What will be the balance of

the account in 18 years if the interest is compounded continuously?

1 answer:

alexdok [17]3 years ago

5 0

Answer:

Its the last choice

Step-by-step explanation:

You might be interested in

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

$\int_C F \cdot dr = f(r(\pi))-f(r(0))$

Recall that $r(\pi) = (\pi^2, 0, \pi)$ so $f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0$

Also $r(0) = (0, 0, 0)$ so $f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0$

So $\int_C F \cdot dr =0$

5 0

3 years ago

Evaluate the following expression, when n=-3 and r=-8<br> −5 + 3(−2r + 4n) <br> Pease answer ASAP

Hunter-Best [27]

Answer:

-8

Step-by-step explanation:

Given that,

n = -3

r = -8

Now we have to find the value of the given expression.

For that, you have to replace n and r with ( -3 ) and ( -8 ) respectively.

Let us solve now.

−5 + 3 ( −2r + 4n )

-5 + 3 ( -2 × -8 + 4 × -3 )

-2 ( 16 - 12 )

-2 × 4

-8

Let me know if you've any other questions. :-)

- Hi1315

3 0

2 years ago

Please Help Me it's due soon

anyanavicka [17]

-1 and 4 I think is the answer is the function

4 0

2 years ago

12 divided by 1 half

dolphi86 [110]

Answer:

24

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Helpppppp pleaseeeeeee

Allisa [31]

Answer:

88 Inches^2

Step-by-step explanation:

Find the areas of one of the triangles and one of the rectangles, add them together, then multiply by 2.

8 0

3 years ago

Read 2 more answers