if a b 9 are in GP
b÷a = 9 ÷ b
b^2 = 9a
if a - 1 b 9 are in AP
2b = a+8
b = a+8÷2
substitute
b is equal to a + 8 by 2 in b square equal to 9 a
(a+8÷2)^2 = 9a
a^2+16a+64 = 36a
a^2 -20a +64 =0
(a-16) (a-4) =0
a= 16 or a=4
when a=16 b= 12
when a=4 b= 6
Value of a and b are given above
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
306 / 3.6 = 85 gallons per minute
5,200 = 85x
x = <span>61.1764705882
hope this helps</span>
Answer:
22
Step-by-step explanation:
since there is a bisector that makes the two angles equal. you first need to find x then with x you can add the angles to get the biggest angle witch is RMQ
2x+1 = 4x-9
1=2x-9
10=2x
5=x
x=5
RMQ=2x+1+4x-9
RMQ=2(5)+1+4(5)-9
RMQ=10+1+20-9
RMQ=11+11
RMQ=22
RMQ=16
