Answer:
484,000
Step-by-step explanation:
The hundreds place is less than 5 so you round down.
Find multiples of 30 and 40:
30: 30, 60, 90, 120, 150
40: 40, 80, 120, 160
The least common multiple is 120, so every 120 minutes they willl both ring.
1 hour = 60 minutes:
120/60 = 2 hours.
The bells ring together every 2 hours.
8 + 2 = 10 am
10 + = 12pm
12 + 2 = 2 pm
The bells will ring together at am, 12 pm and 2 pm.
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
To simplify 3a + 2b - 8a + b, we need to combine like terms. Like terms are terms that share common variables. In this expression, the two variables are terms with a and terms with b. The terms that have a are 3a and -8a. The terms that have b are 2b and b. Now we can separate them and simplify.
(3a - 8a) + (2b + b)
-5a + 3b
Answer:
7 groups
Step-by-step explanation:
Each group would have 1 blue marble and 3 green marbles
