Answer:
f(-3) = 6
Step-by-step explanation:
input -3 in f(x)
so f(-3) = -3(-3) - 3
multiple and add
f(-3) = 6
Answer:
Here the degree of the polynomial is 11.
Step-by-step explanation:
To find the degree of the multivariate polynomials, we need to add up the powers of all the variables. So the total degree is given by the sum of all the powers of the highest powers terms.
Now in the given polynomial
the term with the highest total powers is and thus the total power is 6+5=11.
And hence the degree of this polynomial is 11.
Answer:
229.7125
Step-by-step explanation:
Answer:
of what?
Step-by-step explanation:
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