Step-by-step explanation:
x²+2x-3=0
(x²+3x)-(x-3)=0
x(x+3)-1(x+3)=0
(x-1)(x+3)=0
x=1 or x=-3
Answer:
10 and 40
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 40
40 = 2 × 2 × 2 × 5
Multiply each factor the greater number of times it occurs to find the LCM:
LCM = 2 × 2 × 2 × 5
LCM=40
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
Answer:
The two numbers are 36 (62) and 49 (72).
Step-by-step explanation:
Seven tenths of every mile she goes she runs. So we would multiply 4 by seven tenths and get 2.8 miles. And to find out how many miles she walks, we would multiply 4 by three tenth and get 1.2
hope this helped!!
