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torisob [31]
2 years ago
6

Evaluate and answer in standard form: 3^-1​

Mathematics
1 answer:
asambeis [7]2 years ago
6 0
Evaluate and answer in standard form:
3^-1 = 1/3
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How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D
viktelen [127]
The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation,
                                      F = P x (1 + i)^n
Substituting the known values,
                                      F = ($200) x (1 + 0.07)^5 = $280.51
Thus, the future worth of the investment is approximately $280.51. 
6 0
2 years ago
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Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se
Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, \frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}

We get, eliminating the cosecant function,

\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. \frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}

i.e. \frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}

Since, we know that, \sin^{2}x+\cos^{2}x=1

Thus,

\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0
2 years ago
Write in scientific notation. 0.5(8 X 10^5)
OLEGan [10]
8x10^5 = 800,000

times 800,000 by 0.5 (or just half it) would equal 400,000, which is translated to 4x10^5
5 0
2 years ago
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​ Quadrilateral ABCD ​ is inscribed in this circle.
fgiga [73]
Assuming the sum of the  opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows

B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees

Therefore angle B would have a measurement of 132 degrees. Hope this helps.
3 0
3 years ago
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98n^2-200 factoring special cases
Kipish [7]

Step-by-step explanation:

Factor 98n2−200

98n2−200

=2(7n+10)(7n−10)

Answer:

2(7n+10)(7n−10)

8 0
3 years ago
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