Angle a ABF is 77° a)find the size of angle X

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

Step-by-step explanation:

The question is not correct so........

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Vitek1552 [10]

To solve this we are going to use the future value of annuity due formula: $FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
where
$FV$ is the future value
$P$ is the periodic deposit
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$k$ is the number of deposits per year

We know for our problem that $P=420$ and $t=15$ . To convert the interest rate to decimal form, we are going to divide the rate by 100%: $r= \frac{10}{100} =0.1$ . Since Ruben makes the deposits every 6 months, $k=2$ . The interest is compounded semiannually, so 2 times per year; therefore, $k=2$ .
Lets replace the values in our formula:

$FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]$
$FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]$
$FV=29299.53$

We can conclude that the correct answer is $29,299.53

8 0

3 years ago

What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over

soldi70 [24.7K]

The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].

<h3>What is the range of the function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

$y = \sin^{-1}x$

The above function can be written as,

$\sin y = x$

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

$-1\leq x\leq1$

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

$-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}$