A=84 and r=1/5
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
circumference= 2(pi)r OR (pi)d
d is diameter and r is radius
if the circumference is given, then you would have to work backwards.
in this case, Circumference = 78.5 ft
the equal you would use for the radius would be 78.5 = 2 x 3.14(pi) x r
- multiply 2 x 3.14 and get 6.28
- divide 6.28 on both sides to get ‘r’ by itself
- 12.5 = r
next, for the diameter you can use C= (pi) x d
- 78.5 = 3.14 x D
- divide 3.14 on both sides to get ‘d’ by itself
- 25 = d
hope this helps! make brainliest please
Answer:
Step-by-step explanation:
1.
Find value of P that makes this true
4p-5=`9
Solve for P by isolating it on one side:
4p-5+5=9+5
4p/4=14/4
P=3.5
2.
Translate the Algebraic Expression:
A waiter earns $128 for 6 hours of work including $86 of tips.
Subtract tips from total:
128-86=42
Divide Value between hours.
42/6=7
$7 per hour
3.
Find the Value of X that makes this true
-4x+26=-2
Solve for X by isolating it on one side:
-4x+26-26=-2-26
-4x/-4=-28/-4
X=7
4.
What is the first correct step in solving the equation:
33-2x=31
Subtract 33 from both sides
HOPE I HELPED!
BRAINLIEST WOULD BE APPRECIATED!
Answer:
$7,000 at 7%; $13,000 at 8%
Step-by-step explanation
x: the amount invested at 7%
y: the amount invested at 8%
x + y = 20,000
7%.x + 8%.y = 1,530
⇒ x =7,000
y = 13,000
