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Tpy6a [65]
3 years ago
9

If you borrow $900 for 6 years at

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0

Answer:

$1278

Step-by-step explanation:

First you would need to find out how much the annual interest rate is so you would find out what 7% of $900 is which is 63 meaning that there is an annual fee of $63 and since it was for 6 years you would multiply $63 times 6 to get 378 and then to find the total amount you would pay you have to add the interest to what you borrowed so you would do $900 + $378

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Solve the matrix equation. The inverse of the coefficient matrix is given. EXPLAIN. The answer's D. (2/9,-4/3,-1/3)
Lerok [7]

Answer:

Right answer is D number

4 0
2 years ago
Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
2 years ago
Read 2 more answers
Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.
irina [24]
The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

<span> </span>


8 0
3 years ago
Read 2 more answers
If f(X+4) =3x+4 , then find the value of f(4) <br>please explain it clearly .​
Paul [167]

\\ \sf\longmapsto f(x+4)=3x+4

\\ \sf\longmapsto f(x)=3x+4-4

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7 0
2 years ago
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Zigmanuir [339]

Answer:

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Step-by-step explanation:

The property of a parallelogram is the opposite sides are congruent, hence

AD = BC ← substitute values

5x + 3 = 38 ( subtract 3 from both sides )

5x = 35 ( divide both sides by 5 )

x = 7

6 0
2 years ago
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