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3 years ago

You have a savings account that has an annual interest rate of 6%, interest is compounded monthly. The

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

i dont know mabey some one else knows

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Please help with at least 1 question. I’m really stressed

Art [367]

Please help with at least one question I’m really stressed

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3 years ago

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The value of

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

Let us assume that:

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

We can also write it as:

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

Comparing the given equation with ax² + bx + c = 0, we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

By quadratic formula:

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

But "x" cannot be negative. Therefore:

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

4 0

2 years ago

How many 1/6s are in 1&1/6

Amanda [17]

Answer:

7/6

It's 7/6 because 6/6 make up a whole which is the 1 in 1 1/6

then there is that left over 1/6 to make it 7/6

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2 years ago

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What is the midpoint of a segment with endpoints at the point negative 4 comma negative 8 and the point 8 comma 10?

allochka39001 [22]

Answer:

Question Answer

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 4.5

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 10.8

Step-by-step explanation:

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2 years ago

Please I need help on this question, A line passes through (6,3), (8,4), and (n,-2). Find the value of n.

Vika [28.1K]

Answer:

n= -4

Step-by-step explanation:

First we have to find the equation of line which passes through (6,3) and (8,4).

Then we have to pass this line through the point (n , -2).

we know, equation of line passing through (x1,y1) and (x2,y2) is

$\frac{x-x1}{x1-x2}=\frac{y-y1}{y1-y2}$

So, the equation of line passing through (6,3) and (8,4) is

$\frac{x-6}{6-8}=\frac{y-3}{3-4}$

or, $\frac{x-6}{-2} =\frac{y-3}{-1}$

multiplying both sides by -2

x-6=2(y-3)

or, x-6=2y-6

or, x-2y=6-6

or, x-2y=0

Now, we have to pass this line through (n,-2)

So, using the point in the line, that is using x=n , y=-2

we get

n-2(-2)=0

or, n+4=0

or, n=-4

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3 years ago

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