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STatiana [176]
3 years ago
10

Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=6\\
y=8
\end{cases}\implies 8=\cfrac{k}{6}\implies 48=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{48}{x}}
\\\\\\
\textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}
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Find the compound interest on Rs. 2000 for one year at the rate of '20%' per annum. If theinterest compounded quarterly.​
trasher [3.6K]

Given:

Principal = Rs. 2000

Rate of interest = 20% p.a. compounded quarterly.

Time = 1 year

To find:

The compound interest.

Solution:

Formula for amount:

A=P\left (1+\dfrac{r}{n}\right)^{nt}

where,

P = Principal

r = Rate of interest

t= Time

n = number of times interest compounded in an year.

Putting P=2000, r=0.2, n=4 and t=1, we get

A=2000\left (1+\dfrac{0.2}{4}\right)^{4(1)}

A=2000\left (1.05\right)^{4}

A=2000\left (1.21550625\right)

A=2431.0125

Now, the compound interest is

C.I.=A-P

C.I.=2431.0125-2000

C.I.=431.0125

Therefore, the compound interest is Rs 431.0125.

3 0
3 years ago
Is the statement true or false?
BlackZzzverrR [31]

Answer:

it false because its |-6|=6 and |6|= 6

hopefully its helpful and correct

have a great day

5 0
3 years ago
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erastovalidia [21]
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5 0
3 years ago
NEED HELP!!?? 40 pts See attached image (Pre-Cal)
Naya [18.7K]

Answer:

8(cos(π) +i·sin(π))

Step-by-step explanation:

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√(1^2 +(√3)^2) = √4 = 2

Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices

The angle of the number in parentheses is ...

arctan(-√3/1) = -π/3

Then 3 times that angle will be -π, also π.

The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...

8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice

7 0
3 years ago
Help please......!! :(
Blababa [14]
6. X= -32 and 32
7. Y= -3
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7 0
3 years ago
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