Answer:
21.213
or
(21.213,0)
Step-by-step explanation:
y-intercept = 9
slope= -1/50x^2
I graphed it and it was a parabola and it hit the ground at this coordinate (21.213,0)
Answer:
9/7
Step-by-step explanation:
13/14 - 1/7 + 1/2
taking LCM
=(13-2+7)/14
=18/14
to its lowest term
=9/7
Answer:
Step-by-step explanation:
The cost is given for <em>1 sweatshirt</em>. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:
This is the expression that represents the cost of 15 sweatshirts.
Answer:
Step-by-step explanation:
Each successive year, he
earned a 5% raise. It means that the salary is increasing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence(amount earned in the first year).
r represents the common ratio.
n represents the number of terms(years).
From the information given,
a = $32,000
r = 1 + 5/100 = 1.05
n = 20 years
The amount earned in his 20th year, T20 is
T20 = 32000 × 1.05^(20 - 1)
T20 = 32000 × 1.05^(19)
T20 = $80862.4
To determine the his total
earnings over the 20-year period, we would apply the formula for determining the sum of n terms, Sn of a geometric sequence which is expressed as
Sn = (ar^n - 1)/(r - 1)
Therefore, the sum of the first 20 terms, S20 is
S20 = (32000 × 1.05^(20) - 1)/1.05 - 1
S20 = (32000 × 1.653)/0.05
S20 = $1057920
