W + y = 30......w = 30 - y
11.95w + 12.50y = 364.55
11.95(30 - y) + 12.50y = 364.55
358.50 - 11.95y + 12.50y = 364.55
-11.95y + 12.50y = 364.55 - 358.50
0.55y = 6.05
y = 6.05 / 0.55
y = 11 <=== there were 11 yellow sweatshirts sold
w + y = 30
w + 11 = 30
w = 30 - 11
w = 19 <=== there were 19 white sweatshirts sold
Answer: 7 × ( 3^n - 1 )
Step-by-step explanation:
This is a geometric progression which has its nth term to be
Tn = ar^n- 1. Now from the question given, the sequence are 7, 21, 63, 189. This is an example of a finite sequence, To find the common ratio, you divide the second term by the first term. So
r = 21/7
= 3. , a = 7
Now to find the nth term put the values in the formula above.
Tn =ar^n-1
= 7(3)^n - 1)
= 7 × ( 3^n - 1 ).
Note, it is not 21^n - 1.
Answer:
Quadratic Formula
so
x = -5
and
x = 0.5
Step-by-step explanation:
Whenever you see a problem in this form, which you will see a lot of, you can try to factor it or use the "least squares" method or what have you, but those won't always work, unfortunately.
Fortunately, the quadratic formula will never fail you with quadratic expressions.
This is the Quadratic Formula

a is the the number on the variable with the exponent ^2
b is the number on the variable with no exponent
c is the third number
a and b cannot be equal to 0; c can be
Since we're looking for a number with an equation that has a square root in it, we're going to get two answers. These two answers come from the radical being separately added AND subtracted from the radical. It's basically two problems.
Plugging in our numbers to this equation gives us x values of -5 and 0.5. This will always work with polynomials with factors of ^2 in them.
If you have a TI-84 calculator or newer, there's a tool on it that will factor polynomials like this one for you just by giving it the numbers.
So if it is simple interest then
700+6 times (8% of 700)=answer
percent means partsout of 100
8%=8/100=0.08
'of' means mutily
700+6 times (0.08 times 700)=700+6 times (0.56)= 700+3.36=703.36
answer is $703.36