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kondor19780726 [428]

2 years ago

11

Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he hav

e after 2 years

1 answer:

Triss [41]2 years ago

8 0

Answer:

After 2 years Miguel will have in his account $541.64

Step-by-step explanation:

The formula for calculating compound interest continuously is:

$A=pe^{rt}$

Where A is the amount of money obtained after t years.

r is the compound interest rate and p is the initial amount

In this case we have that:

$p=\$500\\\\t=2\ years\\\\r=0.04$

Then we must find the final amount A

$A=500e^{0.04(2)}$

$A=\$541.64$

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Compute the directional derivative of the function g(x,y)= sin(π(x−5y)).

e-lub [12.9K]

Answer:

Step-by-step explanation:

The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function

g(x,y) = sin(π(x−5y)

∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))

(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]

(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]

∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j

∇g = π [cos (π(x−5y))] [î - 5j]

So, the question requires a direction vector and a point to fully evaluate this directional derivative now.

8 0

3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

2 years ago

GIVING BRAINLIEST!! HELP PLEASE!! you don't have to make it perfect. (no links/spam/or stealing points. i will report your accou

choli [55]

<h2>Answer:</h2>

C = 2πr

r = C/2π ...(1)

A = πr²

A = π(C/2π)² = πC²/4π²

A = C²/4π.

<u>Correct choice</u> - [A] A = C²/4π.

6 0

2 years ago

Does anyone know this answer??

DochEvi [55]

Answer:

Option (4)

Step-by-step explanation:

Equation of a line passing through a point $(x_1,y_1)$ and with slope 'm' is,

y - y₁ = m(x - x₁)

Given → Slope 'm' = -2

Point through which the line is passing is (-1, -2)

x₁ = -1 and y₁ = -2

Therefore, equation will be,

y + 2 = -2(x + 1)

y = -2x - 2 - 2

y = -2x - 4

Option (4) is the correct option.

4 0

3 years ago

A 9-foot ladder is placed 4

ikadub [295]

5 feet is how far the ladder reaches

5 0

3 years ago