Answer:
Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;
Hence, there are 120 possible sequence.
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000
A=
A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years
1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=
?=
?=
?=10138.4 will be earned
18000-10138.4=7861.6 needed
2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=
18000=
18000=
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed
if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Answer:
y = 3/8x
or
3/8 cups of sugar for every 1/2 batch of muffins
Step-by-step explanation:
Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:
cups of sugar.
