A worker is paid $0.10 on the first day, $0.30 on the second day, $0.90 on the third day, $2.70 on the fourth day, and so on.
Notice that the pattern of getting wages is 3 times of the previous day.
Like the wages for the first day= 0.10
Second day = 0.10*3 = 0.30
Third day = 0.30 *3 = 0.90 And so on.
Hence the wages represent a geometric sequence where
first term: a = 0.10 and common ratio: r = 3.
And we need to find the total does the worker earn after working 14 days:.
Formula to find the sum of nth term a geometric sequence is:
=
=
=
=
= 239148.4
So, he will earn $239148.40 fter 14 days.
Hope this helps you.
Answer:
8
Step-by-step explanation:
It looks like you intend
x¹⁹ -2x¹⁸ +7x¹⁷ -12x¹⁶ +6x¹⁵ = 0
x¹⁵(x -1)²(x² +6) = 0
x = 0, 1, ±(√6)i . . . . . . . selection D is appropriate
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700