Answer:
Step-by-step explanation:
red balls=3
blue balls=4
total balls=3+4=7
probability of selecting 3 red balls=3/7 ×2/6×1/5=1/35
selecting 1 red ball=3/7
after selecting there are two red balls and total balls are 6
so now P=2/6
and so on .
Answer:
There are 3 2/3 groups of 3/4 in 11/4
Answer:
a) $520
b) $580
c) Interest amount is same each year
Step-by-step explanation:
Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.
To find - a) How much money was in the account after one year?
b) How much money was in the account after 4 years?
c) Was the amount of money earned in interest the same or different each year?
Proof -
Here given that,
Principal amount = $500
rate of interest = 4% = 4/100 = 0.04
Now,
a)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(1)]
= 500 [ 1 + 0.04] = 520
⇒Amount = $520
b)
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(4)]
= 500 [ 1 + 0.16] = 580
⇒Amount = $580
c)
In 2nd year,
Amount = P [ 1 + RT ]
= 500 [ 1 + 0.04(2)]
= 500 [ 1 + 0.08] = 540
⇒Amount = $540
Now,
Interest in 1st year = 520 - 500 = 20
Interest in 2nd year = 540 - 520 = 20
So,
The interest amount is same each year
Answer:
B
Step-by-step explanation:
We are given the function:
And we want to determine the value of:
Let this value equal <em>a</em>. In other words:
Then by the definition of inverse functions:
Hence:
Solve for <em>a: </em>
By the Zero Product Property:
Hence:
Thus, f(9) = 225. Consequently, f⁻¹(225) = 9.
In conclusion, our answer is B.
Start by writing what is said:
2x + 4 = -6
From there just solve for x:
Subtract 4 from both sides
2x + 4 - 4 = -6 - 4
2x = -10
Divide by 2 to get x by itself
2x/2 = -10/2
x = -5
