Answer:
Principle should be $2,667
Step-by-step explanation:
We need $3000 for a vacation to Europe in 3 years.
Using amount formula,
Where, P is principle (P=?)
A is amount (A=3000)
r is rate of interest (r=0.04)
t is time (t=3)
Substitute the values into formula and solve for P
Hence, Principle should be $2,667
-(3x-2)=-4(x+1)-4
-3x+2=-4x-4-4
-3x+4x=-4-4-2
x=-10
As we know that the standard equation of circle is , where <em>r</em> is the radius of circle and centre at <em>(h,k) </em>
Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively
After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>
Now , putting values in our standard equation ;
<em>This is the required equation of </em><em>Circle</em>
Refer to the attachment as well !
Answer:
$293.83
Step-by-step explanation:
She started with $153. The next day she withdrew $15.72 six times, that is $15.72*6 = $94.32
We have to subtract $94.32 from the starting amount, that is $153 - $94.32 = $58.68
After that, she deposited $235.15. We have to add that to the current balance.
Now she has $58.68 + $235.15 = $293.83
Therefore, her account balance after these transactions is $293.83
I got 75582.
Explanation:
First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.
Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is