Find the slope of the line.

Brums [2.3K]

Answer:

6%

Step-by-step explanation:

Using the formula I=PRT we have 96.12=(267)R(6). we simplify the right by doing the multiplication 267x6 so we have 96.12=1602R. again using algebra we divide both sides by 1602 to isolate R. we get R=0.06 and when converted to a percent is 6%.

6 0

3 years ago

Use demoivre's theorem to show that;<br>cos4¤ =8 cos4¤ -8cos2¤+1

ss7ja [257]

Answer:

$\cos4( \theta)=Re(\cos4( \theta)+i\sin4( \theta)) \\=Re(\cos ( \theta)+i\sin ( \theta))^4 \\ =Re(cos^4( \theta)+4cos^3( \theta)isin( \theta)+6cos^2( \theta)i^2sin^2( \theta)+4cosi^3( \theta)sin^3( \theta)+i^4sin^4( \theta)) \\cos( 4\theta) =cos^4( \theta)-6cos^2( \theta)sin^2( \theta)+sin^4( \theta) \\ =(1-\sin^2( \theta))^2-6(1-\sin^2( \theta))\sin^2( \theta)+sin^4( \theta) \\ = 1-2\sin^2( \theta)+\sin^4( \theta)-6\sin^2( \theta)+6\sin^4( \theta)+\sin^4( \theta) \\ =8\sin^4( \theta)-8\sin^2( \theta)+1$

7 0

3 years ago

Last month, Claire's bank statement said that she overdrew her account. Her bank balance was -45.32−45.32minus, 45, point, 32 eu

iragen [17]

The question is incomplete and the full version can be found online.

Answer: Janeth has 17.92 dollars in her account.

Step-by-step explanation:

The question states that, after having been told that she overdrew her account the previous month, Claire´s new bank balance is 17.92 dollars. Having said that, the question is what does that new amount means, and the options given are that she overdrew her account by 17.92 dollars, or that she has 17.92 dollars in her account.

The answer couldn´t be that Claire overdrew her account again, by 17.92 dollars this time, because if that was the case, her new balance would be the addition of the previous -45.32 dollars plus the new -17.92 dollars:

-45.32-17.92=-63.24

This means that the new amount would be -63.24. Since the number is positive, it represents the money she has in the account: 17.92 dollars

6 0

3 years ago

Find the inverse of the function.<br> y=3x–5

PIT_PIT [208]

Step-by-step explanation:

it means that x has now to be the result variable, and y the input variable.

so,

y = 3x - 5

y + 5 = 3x

x = (y + 5)/3

and as a final touch, to make the inverse a "normal function", we rename x to y and y to x and get

y = (x + 5)/3

as the inverse function

8 0

2 years ago

How many times greater is the volume of the large bowl than the volume of the small bowl

arsen [322]

Answer: it depends on how big each bowl could be. depending on how big the diameter of the bowl is, we can figure out what the radius is, and then we could multiply that by pi squared, which gets you the area of the circle. Then we could figure out how much larger the large bowl is than the smaller bowl with the diameter knowledge that we gained.

So, for example, there was a bowl like this: (|||) (imagine that is a full circle) and that would be... about 9 in. across. imagine the smaller bowl is about 3in. across. then, we could figure out the radius by finding the middle, and expand the middle to the edge of the bowl. then, whatever the radius is, we could multiply that by 8, and get the total diameter of the bowl in inches. with that knowledge, we should be able to know the area of the bowl, by getting the diameter, and multiplying it by pi squared which equals 9.42, and then you multiply that by the radius and the diameter to get the area of the bowl.

that is how you could figure out how much bigger the large bowl is than the smaller bowl.

4 0

4 years ago