Answer:
t =17 years
Step-by-step explanation:
The formula for interest
A = P(1+ r/n)^ nt
where a is the amount in the account , p is the principal, r is the rate, n is the number of times compounded per year and t is the time in years
Substituting in what we know
690 = 460 ( 1+ .024/365)^ 365t
690/460 = ( 1+ .024/365)^ 365t
1.5 = ( 1+ .024/365)^ 365t
Taking the log of each side
log(1.5) = 365t log( 1+ .024/365))
Dividing each side by( 1+ .024/365)
log(1.5)/ log( 1+ .024/365) = 365t
divide each side by 365
1/365 log(1.5)/ log( 1+ .024/365) =t
t =16.8949
To the nearest year
t =17
Well, it says "How many minutes did she play at all." So, we are going to add. First, we make 5 3/4 and 2 2/3 a improper fraction. 5 3/4=23/4 and 2 2/3=8/3. 23*3+8*4/4*3=69+32/12=101/12. 101/12 as a mixed number is 8 5/12. Now, we add 8 5/12 by 10 1/6. 8 5/12 as a improper fraction is 101/12 and 8 5/12 as a improper fraction is 61/6. 101*6+61*12/12*6=606+732/72=1,338/12. 1,338/12 simplified is 223/12. 223/12 as a mixed number is 18 7/12. Therefore, She played 18 7/12 minutes.
Answer:
1. 148
2. 17
Step-by-step explanation:
1. m<FEC + m<CED = m<FED
32 + m<CED = 180
m<CED = 180 - 32
m<CED = 148
2. m<CEA + m<AED = m<CED
(6x - 20) + (3x + 18) = 151
9x - 2 = 151
9x = 153
x = 17
Unit Rate is 6:
54 to 9
72 to 12
Unit Rate is 8:
72 to 9
Unit Rate is 10:
120 to 12
70 to 7
Doesn't belong to any category:
81 to 9
If youre dividing it will be 5