Answer: the first term of the series is 128
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1/4 = 0.25
n = 4
S4 = 170
Therefore, the expression for the sum of the 4 terms, S4 is
170 = a(1 - 0.25^4)/(1 - 0.25)
170 = a(1 - 0.00390625)/(1 - 0.25)
170 = a(0.99609375)/(0.75)
170 = 1.328125a
a = 170/1.328125
a = 128
47.50 = 8.50x + 5
42.50 = 8.50x
x = 5
Wylie can rent for 5 hours.
1 /5 = 0 . 2
45 * . 2 = 9
Hope this helped :)
Answer:
Step-by-step explanation:
Let x = the number of all the species of birds sighted in the park
“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”
the above sentence means “(2/7)x = 300”
now we can solve it :
(2/7)x = 300
⇔ 2x = 7×300
⇔ 2x = 2100
⇔ x = 2100/2
⇔ x = 1050
The Federal Insurance Contributions Act (FICA) is made up of
two items, Social Security and Medicare taxes. For 2016, the Social Security
tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is
1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is
only $110,700 which is not yet taxable. So there is no taxable earnings yet.
