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
4367 ÷ 0.004 is 1091750. To solve this, you can use long division, by setting up the equation. Make sure to move the decimal. Then, divide the first digit, then the first two digits, and so on.
The image of the floor dimensions is missing, so i have attached it.
Answer:
$88.92
Step-by-step explanation:
Looking at the attached floor plan, we have to divide it into two parts to solve easily.
To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m
Thus,bigger triangle measures; 3.6m x 2.4m
For the smaller triangle, dimensions are; 0.6m x 1.2m
Area of bigger triangle = 3.6 × 2.4 = 8.64 m²
Area of smaller triangle = 0.6 × 1.2 = 0.72 m²
Total area = 8.64 + 0.72 = 9.36 m²
Since the carpet costs $9.50 per sq.m.
Thus;
Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92
Answer: 7065 cm
Step-by-step explanation:
Find the volume as the bowl was a whole sphere and then divide the volume found by two, to get the volume of half the sphere.
(4/3) * π*(r^3) ≈ 14130 cm
14130/2 ≈ 7065 cm
This is an approximated result using π = 3.14
Answer:
4(2x+5x)
Step-by-step explanation:
Factor 4 out of 8x+20z
