A coat with an original price tag of $400 was marked down by 40%. You have a coupon good for an additional 25% off. What is the
2 answers:
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Answer:
and
Step-by-step explanation:
- To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒
.
- Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow
⇒
- Then rearranging terms
- This expression results in
- Finally, using the firs equation, in which we obtained an expression from x,
, we replace y=1/2 and get
, then
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.
Step-by-step explanation:
The given is,
sequence: 1,3,9,21,.. etc
Step:1
The given is based on multiplication of 3 to previous number,
( x - previous number, next number = 3 × )
First term : 1
Second term : 1 × 3 = 3
Third term : 3 × 3 = 9
Fourth term : 9 × 3 =27
Fifth term : 27 × 3 = 81
Sixth term : 81 × 3 = 243
Seventh term : 243 × 3 = 729
Eighth term : 729 × 3 = 2187
Step:2
Sum of first 8 terms
= 3280
Sum of first 8 terms = 3280
Result:
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.