Let the age of Brandon be x.
Therefore the age of Michael is 4x
Also the age of Michael is 27+x
So
4x=27+x
3x=27
X=9
Brandon age is 9years while Michael's age is 36
Probability=(number of specific outcomes)/(number of possible outcomes)
There are 4+2+6+5=17 total marbles so:
P(Yellow)=4/17
P(Blue)=2/17
P(Black)=5/17
P(Red)=6/17
Answer:
Step-by-step explanation: since average speed = total distance/time
a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5
b)journey from my home town to B = 20 miles/30 minutes = 0.7
c)10 miles + 20 miles = 30 miles
which takes 50 minutes
so: 30 miles/50 minutes = 0.6
Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
Answer:
Option "D" is correct $3630
Step-by-step explanation:
At the beginning of the 7th year, the money has been in the account for 6 years.
The simple interest on $3000 at 3.5% for 6 years is I = prt:
(3000) = (.035) = (6) = 360
he amount in the account at the <u>beginning of the 7th year</u> is then the <u>original amount plus</u> the interest <u>$3630.</u>
