We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n is 12
The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720
the answer is
265720
</span>
Answer: he sold 9 pairs of dress shoes.
he sold 4 pairs of athletic shoes.
Step-by-step explanation:
Let x represent the number of pairs of dress shoes that he sells.
Let y represent the number of pairs of athletic shoes that he sells.
The total number of pairs of shoes that he sold in a day is 13. It means that
x + y = 13
The salesman receives a commission of $4 for every pair of dress shoes he sells. He is paid $3 for every pair of athletic shoes he sells. The commission that he got on that day was $48. It means that
4x + 3y = 48- - - - - - - - - - 1
Substituting x = 13 - y into equation 1, it becomes
4(13 - y) + 3y = 48
52 - 4y + 3y = 48
- 4y + 3y = 48 - 52
- y = - 4
y = 4
x = 13 - y = 13 - 4
x = 9
Given:
total of 224 visitors
older than 18 paid $12
18 and below paid $8
total collection 2,520
Let l be visitors older than 18 and m be visitors 18 and below.
l + m = 224
12l + 8m = 2,520
l = 224 - m
12(224 - m) + 8m = 2520
2688 - 12m + 8m = 2520
-4m = 2520 - 2688
-4m = -168
m = -168/-4
m = 42 number of visitors 18 and below.
l = 224 - m
l = 224 - 42
l = 182 number of visitors older than 18.
12(182) + 8(42) = 2520
2184 + 336 = 2520
2520 = 2520
Answer:
10.5
Step-by-step explanation:
Answer:
-21
Step-by-step explanation:
6(6) + 3(-7(2) -5 )
36 + 3( -14 -5)
36 + 3( -19)
= -21
