Answer:
$1.17
Step-by-step explanation:
$0.26*4.5= $1.17
So for this, you'll be using an exponential equation, which is y=ab^x (a = initial value, b = growth/decay).
Since you start off paying your friend $1, that will be your initial value. And since this is a 50% increase, you are to add 1 and 0.5 together (50% in decimal form), which is 1.5. That will be your b variable. And since # of days is the independent variable, that will be your x variable.
Using the previous info, this is our equation: y = 1(1.5)^20 . From here we can solve for the total cost (y).
Firstly, solve 1.5^20: y = 1(3325.26)
Next, multiply everything on the right side of the equation, and your answer will be (rounded to the hundreths): y = 3325.26
In context, at the end of the 20 days, you have to pay your friend $3325.26.
Answer:
-15
3
Step-by-step explanation:
-26 - 3x ≤ 19 and -8x ≥ -24
-3x ≤ 45 and x ≤ 3
x ≥ -15 and x ≤ 3
x² + 13x - 30 = 0
first, to factor this, we need to find 2 numbers, that when added, equal 13. These same numbers must also multiply to equal -30
15 and -2 fit this criteria.
15 + -2 = 13
15 x -2 = -30
now we can put these numbers in place of 13 in our equation
x²-2x+15x-30=0
now we take the common value of the fist 2 numbers and place it on the outside. we do the same with the last 2 numbers.
x(x-2) +15(x-2) = 0
notice how the numbers in parentheses are the same. we can now take the outside numbers and have them with the numbers in parentheses.
(x+15)(x-2) = 0
this is the factored form.
if you needed to find x, you take the numbers that would make one of the parentheses equal 0
so x = -15, 2
hope this helps
