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3 years ago

6

Compounded semiannually, Jake deposited $10,000 into an account that yields an interest rate of 3.5%. He makes no other deposits

or withdrawals what is the total amount in the account after 25 years?

1 answer:

faltersainse [42]3 years ago

8 0

10'000( 1 + [3.5% / 2])**25
Should give you the answer

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Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl

butalik [34]

Answer:

The answer is " $(\frac{\pi}{2})$ ".

Step-by-step explanation:

$z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)$

Let add equation 1 and 2:

Using formula: $x^2+y^2=1 \\\\$

convert to polar coordinates

$r=2$

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$=\int^{2\pi}_{0}\int^{1}_{0} (Z_2-z_1)r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r) \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0} \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4}) \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\$

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3 years ago

Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway f

denis23 [38]

Answer:

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Step-by-step explanation:

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2 years ago

If the vertex of a parabola is (0, 3), what is the axis of symmetry

GREYUIT [131]

Answer:

The equation of the axis of symmetry for this parabola is x = 0.

Step-by-step explanation:

For parabola's, it's axis of symmetry always goes through the vertex of the parabola. In other words, the axis of symmetry is vertical line that goes through the x-coordinate of the vertex.

Now, the vertex is given as (0,3) which is at x = 0, y = 3.

Thus, the vertical line that goes through the x-coordinate of the vertex will be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

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3 years ago

After your instructor added 4 points to each student's test score, your score is 92.

Alexandra [31]

88

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3 years ago

Please help what does x equal?<br>thanks guys

loris [4]

Answer: 138°

Step-by-step explanation: since the line is crossing parallel lines the number opposite of your x is the same as 138°

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3 years ago

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