Answer:
24
Step-by-step explanation:
area of circle = πr²
πr² = 144π
Cancel out π
r² = 144
r = √144
r = 12
diameter = 2 x radius
diameter = 2 x 12
diameter = 24m
* diameter is the "width of a circle", the distance from the widest points of the circle
3x^2 + 6x - 10 = 0
x = [-6 +/- sqrt(^2 - 3*3*-10)] / 2*3
= 1.08 and -3.08
Other x -intercept is (-3.08,0)
Step-by-step explanation:
Taisha is losing money. Exactly how much can be found in this equation.
12 months in a year so that's our coefficient.
292.36(12) - 320.67(12)=−339.72
(pay per month) (school fee per month)
She is 339.72 dollars in debt.
Answer:
the total cost would be $15,900
Step-by-step explanation:
<em>hope this helped & good luck <33</em>
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
