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3 years ago

8

The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the

money. Assume 360 days in a year and round answers to the nearest cent.
P=$180, r=3%, t= 2 years

1 answer:

jeka943 years ago

4 0

Y= (180(1+.03)^2)-180

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((16 - (4/2))^2) × 3 =

VARVARA [1.3K]

Answer:

588

Step-by-step explanation:

((16 - (4/2))^2) × 3 Simplify the inner parentheses

((16 - 2)^2) x 3 Solve inner parentheses again

((14)^2) x 3 Solve exponents

196 x 3 Multiply

588

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3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

denis-greek [22]

Answer:

Option C

Step-by-step explanation:

In this case, an exponential function is a function that has common ratio whereas it is called a linear function if it has common difference.

Option A:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option A is is not correct.

Option B:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option B is not correct.

In option C.

Since the given values of y in the table have a common ratio, it is said to be an exponential function.

Option C is correct.

In option D.

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option D is incorrect.

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3 years ago

General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

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3 years ago

Name the property that justifies the given statement 2x_2y=2(x_y)

Gemiola [76]

Answer:

Distributive property

Step-by-step explanation:

With the distributive property, it is possible to simplify expressions that consist of an expression term such as (a + b) being multiplied by one singular term such as c given as follows

c ×(a + b) = c·a + c·b

Factoring, which is the reverse use of the distributive property enables the difference or the sum of two products, each having a common factor to be the presented as the difference or the sum of two numbers multiplied by the common factor as follows;

2·x - 2·y = 2·(x - y).

7 0

2 years ago

Hello, thanks for answering. Your a hero. :)

lyudmila [28]

They added it wrong. They added it like this:

$100 + 700 + 800 + 560$
When it shouldve been this:

$100 + 70 + 80 + 56$
They just added a place marker in all numbers below 100.

5 0

3 years ago