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
b) The surface area is 564.5. Picture below.
4. Three possibilities.
Formula for volume of a cylinder: πr^2h
Formula for volume of sphere: 4/3πr^3
If the radius of the sphere is 1 inch than the volume is: 4.18879 or 4.19 rounded.
I used substitution on this website https://www.omnicalculator.com/math/volume
Just plug in the 4.18879 at the cylinder volume and put in a random number in the radius or height whichever you want then it'll give you the one you left blank. You'll find three possibilities for the radius and height of 4.18879 volume.
Answer:
Use the formula y2-y1 / x2-x1
Or
Remember rise / run
just count the blocks
So the answer would be
6-4/2-8
=
2/-6
or -2/6
Step-by-step explanation:
Answer:
66.7 in³
Step-by-step explanation:
Find the surface area
A = 2.3×2.3×2 + 2.3×6.1×2 + 2.3×6.1×2
