Answer:
<u>3.63 years</u>
Step-by-step explanation:
The formula would be of compound growth, which is:
Where
F is future amount (with interest)
P is initial deposit
r is rate of interest in a year
n is number of compounding in 1 year
t is the time in years
Given in this problem:
To accumulate 2000 interest means the future amount will be:
10000+2000 = 12,000
Present amount is 10,000
r is the annual interest, which is 5% or 0.05
compounded monthly means, 12 times a year, so n = 12
t is time in years, which we need to find
Substituting, we have:
The time it will take is around <u>3.63 years</u>
Miranda is correct. 30×26=780 and 20×36=720 so 30×26>20×36
Answer:
The Length of AC is 17 units.
Step-by-step explanation:
Given:
BL = LC
AD = 24
AL = LD
AL = LD = half of AD = half of 24 = 12. { FJ bisect AD }
Also,
CD = 2 + LC
To Find:
AC = ?
Solution:
By Addition Property we have
LC + CD = LD ............{ L - C - D }
LC + ( 2 + LC ) = 12 ..........{substituting the given values}
∴ 2(LC) = 12 -2
∴ 2 (LC) = 10
∴ 
Again, By Addition Property we have
AC = AL + LC ................{ A - L - C }
AC =12 + 5
∴ AC = 17 units
∴ The Length of AC is 17 units.
So.
Booths : B
Tables : T
11T + 20B = 182
11T + 22B = 198
( I found he difference in total.)
198 - 182 = 16
(16 divided by the number of difference in Booths)
16 / 2 = 8
( So each Booth seats 8 people- now plug in for B)
11T + 20(8) = 182
11T + 160 = 182
(Move the 160 over to leave T by itself, subtract since it's a positive number)
11T = 182 - 160
11T = 22
(Move the 11 to find T, divide since it's with a Variable)
T = 2
(Plug in your findings for T and B to check if hey are right.)
11(2) + 20(8) = 182
(22) + (160) = 182
182 = 182
And that's how you do it!
I hope it helps!!
