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2 years ago

1,030 at 4% compounded semiannually for 2 years

Mathematics

1 answer:

kotegsom [21]2 years ago

6 0

Answer: $1114.91

Step-by-step explanation:

The formula for compound interest is

$A= P(1+\frac{r}{n})^{nt} \\$

Where

A = final amount

P = initial principal balance (1030 for this)

r = interest rate (0.04 for this)

n = number of times interest applied per time period (2 for this)

t = number of time periods elapsed (2 for this)

$A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125$

This rounds up to $1114.91

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Zepler [3.9K]

Answer:

178.3 mm²

Step-by-step explanation:

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What is the first step when rewriting y = 3x2 9x – 18 in the form y = a(x – h)2 k?

stiks02 [169]

A quadratic equation has the general form of: 

y=ax² + bx + c

It can be converted to the vertex form in order to determine the vertex of the parabola. It has the standard form of:

y = a(x+h)² - k

This can be done by completing a square. The steps are as follows:

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3 years ago

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siniylev [52]

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Please can someone tell me the answer

zubka84 [21]

Answer:

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Step-by-step explanation:

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Algebra 2: PLEASE HELP ME!!

vfiekz [6]

Looks more like Trig than Algebra II

They want us to apply the sum angle formula to $\sin(x + \frac{5 \pi}{6})$

5π/6 is 150°; I find it easier to think in degrees.

When the tangent of x is 3/4 that's a right triangle with opposite 3, adjacent 4 so hypotenuse 5. So a sine of 3/5 and a cosine of 4/5, both positive because we're told x is in the first quadrant.

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We know sin 150° = sin 30° = 1/2 and cos 150° = - cos 30° = -√3/2

$\sin(x+\frac{5\pi}{6}) = \frac 3 5 (- \sqrt{3}/2) + \frac 4 5 (1/2)$

$\sin(x+\frac{5\pi}{6}) = \dfrac{ 4- 3\sqrt{3}}{10}$

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