B= 20°
and c = 160°
b is equal to the given angle, b = 20°
c is 180 - 20 = 160°
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 condensed log equation is: 
Step-by-step explanation:
We use these following logarithm properties to solve this question:
In this question:
So
Becomes:
Now applying the addition and subtraction properties, we have:
The condensed log equation is:
Answer:
AGE=150
Step-by-step explanation:
FHD and GHC are supplementary, so:
180-30=150
CHG is corresponding to AGE, so AGE=150
Answer:
10
Step-by-step explanation:
Given that:
Point X = (3, 2)
Point Y = (3, - 8)
Distance of point X to Y:
Distance = √(x2 - x1)^2 + (y2 - y1)^2
X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8
Distance = √(3 - 3)^2 + (-8 - 2)
Distance = √(0)^2 + (-10)^2
Distance = √0 + 100
Distance = √100
Distance = 10
