Answer:
4(x + 5)(x - 3)
Step-by-step explanation:
Given
4x² + 8x - 60 ← factor out 4 from each term
= 4(x² + 2x - 15) ← factor the quadratic
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)
The factors are + 5 and - 3 , since
+ 5 × - 3 = - 15 and + 5 - 3 = + 2, then
x² + 2x - 15 = (x + 5)(x - 3)
Then
4x² + 8x - 60 = 4(x + 5)(x - 3) ← in factored form
Answer:
P = 1600 + 60N; $3,340
Step-by-step explanation:
Since we know she gets $1,600 as a base, and $60 <em>each book</em>, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!
Answer:
The principal must be = $8991.88
Step-by-step explanation:
Formula for compound interest is:

Where A is the amount after 't' years.
P is the principal amount
n is the number of times interest is compounded each year.
r is the rate of interest.
Here, we are given that:
Amount, A = $15000
Rate of interest = 13 % compounded quarterly i.e. 4 times every year
Number of times, interest is compounded each year, n = 4
Time, t = 4 years.
To find, Principal P = ?
Putting all the given values in the formula to find P.

So, <em>the principal must be = $8991.88</em>

An expression having five terms which is equivalent to above term is :