4x+5 = 8x - 11
4x - 8x = -11 - 5
-4x = -16
x = 4
4x+5 = 4(4) +5 = 21
8x - 11 = 8(4) - 11 = 21
<RST = 21 + 21 = 42
answer
<RST = 42 degrees
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:
No, her answer is unreasonable because 0.2 * 6 = 1.2
Step-by-step explanation:
Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.
Looking at her division, 2.76/6 = 0.19
To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one
Thus, the division 2.76/6 = 0.19 is not a reasonable answer
