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3 years ago

5

If you put 200 into a CD that pays 9 percent interest compounded quarterly how long will it take for this money to compound acco

rding to the rule of 72

1 answer:

Kobotan [32]3 years ago

7 0

Well the rule is divide 72 into the interest that is 9 in this case so your answer shall be 8.

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Darya [45]

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

6 0

3 years ago

Read 2 more answers

What number would complete the pattern? 107 98 90 83 77_68 65

Leviafan [203]

Going from 107 to 98 is (minus 9)
going from 98 to 90 is (minus 8)
going from 90 to 83 is (minus 7)
going from 83 to 77 is (minus 6)

following this pattern, the number after 77
is 77 minus 5 = 72

therefore your answer is 72

7 0

3 years ago

Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

13. Determine the length of BD, given by x in the figure. Give your answer to two decimal places.

gregori [183]

Answer:

6.71

Step-by-step explanation:

Use the Pythagorean Theorem with the triangle:

6^2 + 3^2 = x^2

x = 6.71

7 0

2 years ago

Solve for x: −2x − 4 > 8 (1 point)

adelina 88 [10]

Answer:

x-6 is a answer of this question

5 0

3 years ago