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3 years ago

9

You deposit $125 in a savings account that earns 5% annual interest compounded yearly. Find the balance in the account after the

given amount of time.

1 answer:

Paul [167]3 years ago

7 0

125 x.5 =62.5 times 12 months equals 750

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

Someone help on this one please

vova2212 [387]

Answer:

B. Multiply each x-value in the table by -1.

Step-by-step explanation:

A point reflected across the y-axis has the same y-value, but the x-value is replaced by its opposite. For example, (-2, -31) reflected across the y-axis becomes (2, 31).

The appropriate choice is ...

... B. Multiply each x-value in the table by -1.

_____

<em>Comment on the graph</em>

The purple points are the ones in the given table. The red points are the same with their x-coordinate multiplied by -1. You can see that they are the reflection of the purple points across the y-axis. The lines joining the points are to help you see the points and which data set they are in.

7 0

3 years ago

1. Compare the strengths and weaknesses of the horizontal and vertical methods for adding and subtracting polynomials. Include c

mrs_skeptik [129]

1.Each method works differently the angles inside them is what matters.

2. <span> Manipulating algebra tiles can help people solve linear equations

3.</span><span>Distribute each term of the first polynomial to every term of the second polynomial. Remember that when you multiply two terms together you must multiply the coefficient (numbers) and add the exponents. But with Integers you multiply two integers with different signs

4.So you know how </span>
A monomial is a number, a variable or a product of a number and a variable.

<span>multiply each term in one polynomial by each term in the other <span>polynomial

Examples:
$3x2(4x2 – 5x + 7)
 –6xy(4x2 – 5xy – 2y2)
(3x – 4y)(5x – 2y)
(4x – 5)(2x2 + 3x – 6)$ </span></span>

7 0

3 years ago

Write the equation in slope intercept form. what is the slope and y intercept. -9x+10y=-9

Svet_ta [14]

Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.

So firstly, add both sides by 9x: $10y=9x-9$

Next, divide both sides by 10 and <u>your slope-intercept form is $y=\frac{9}{10}x-\frac{9}{10}$ </u>

Now looking at our slope-intercept form equation, <u>the slope is 9/10 and the y-intercept is (0, -9/10).</u>

5 0

2 years ago

Answer ASAP!!!!!!!!!

cupoosta [38]

Answer:

0.4

Step-by-step explanation:

5 0

2 years ago