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3 years ago

8

You have $10,000 to deposit in a savings account that earns simple interest at a rate of 4.5% per year. how much interest will b

e in the account after 2 years?

1 answer:

postnew [5]3 years ago

7 0

0.045×10,000×2 =900..............

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Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

3 0

2 years ago

Read 2 more answers

What is the equation of the line that passes through the point (−4,−3) and has a slope of \frac{3}{4}

yawa3891 [41]

Answer:

y = $\frac{3}{4}$ x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{3}{4}$ , then

y = $\frac{3}{4}$ x +c ← is the partial equation

To find c substitute (- 4, - 3) into the partial equation

- 3 = - 3 + c ⇒ c = - 3 + 3 = 0

y = $\frac{3}{4}$ x ← equation of line

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2 years ago

Answer this Quickly Please 50 points !!!!!!!!!!!!!!!

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2 years ago

The following steps are used to rewrite the polynomial expression x(x-5y) 2y (x-5y

Mice21 [21]

$2x^3y-20x^2y^2+50xy^3$

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3 years ago

The length of a rectangle is two more than two times its width. The perimeter of the rectang

sattari [20]

Answer:

a

Step-by-step explanation:

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