Answer:
1/8
Step-by-step explanation:
Leonard spent 1 fourth of his money on a sandwich.
Fraction of money spent on sandwich = 1/4
He spent 2 times as much on a gift for his brother as on some comic books.
= 1/4 × 2
= 2/8
Hence, Fraction of money spent on Comic books = 2/8
He had 3 over 8 of his money left.
Let us represent his total money has: 1
The fraction of his money that he spent on the comic books is calculated as:
= 1 -( 1/4 + 2/8+ 3/8)
Lowest Common Denominator = 8
= 1 - (2 +2 + 3/8)
= 1- 7/8
= 1/8
Therefore, the fraction of his money that he spent on the comic books is 1/8
Answer:
B should be the answer but it could but C
Answer:
$27,014.85
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)^nt
P = final amount
A = starting amount (10,000)
r = rate (0.05)
n = times applied (4 since it's quarterly)
t = years (20)
P = 10,000(1 + 0.05/4)^4*20
P = 10,000(1.0125)^80
P = 27,014.84940753337
Round it to just 27,014.85
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
Answer:
All numbers greater than 5, i.e., 
.
Step-by-step explanation:
The given inequality is
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
Divide both sides by 30.
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
