Answer:
17580
Step-by-step explanation:
29300*0.10*6=I
29300*0.6=I
17580=Interest
we know that
If square GYTD is translated
units left and
units up to produce square G'Y'T'D'
that means
the rule of transformation is

<u>Find the coordinates of the image</u>




therefore
<u>the answer is the option</u>
G'(−6, 5), Y'(−2, 5), T'(−2, 1) , and D′(−6, 1)
Answer:
Step-by-step explanation:
x - 2y = 8
Write this in y = mx +b form
- 2y = -x + 8
Divide the equation by (-2)

Slope = 1/2
The slope of the perpendicular line = -1/m

m = -2 , ( -2 , 5)
Equation: y = mx +b
Plug in m = -2 ,x = -2 and y =5
5 = (-2)*(-2) + b
5 = 4 + b
5 - 4 = b
b = 1
Equation of the line:
y = mx +b
y = -2x + 1
Answer:
Total number of ways to distribute the prize = 2187

Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:


Therefore, total number of ways to distribute the prizes = 2187
Answer:

Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u>
- A quadratic equation is given to us.
- The equation is 9x² + 30x + c .
And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,
<u>Identity</u><u> </u><u>:</u><u>-</u><u> </u>
Let's try to set the equation on this Identity .
The firsr term is 9x² . We can write it as ,
Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .

Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,
<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>should</u><u> be</u><u> </u><u>2</u><u>5</u><u> </u><u>.</u>