Answer:
X<-15
Step-by-step explanation:
-3x-42>3 collect like terms
-3x>3+42
-3x>45 divide both side by -3
X<-15
Hint ; when you divide both side by a negative sign, the sign changes.
Answer:
You should provided some numbers to go off
Step-by-step explanation:
so I couldn't really give you a straight up answer
Answer:
y = 5(x - 3)² + 2
Step-by-step explanation:
y = a(x - h)² + k
y = a(x - 3)² + 2
7 = a(4 - 3)² + 2
a = 5
y = 5(x - 3)² + 2
The answer is D, or 168.
The cheese can be any one out of 3 = 3 choices. For each of those . . .
The first topping can be any one of 8. For each of those . . .
The second topping can be any one of the remaining 7 . For each of those . . .
The third topping can be any one of the remaining 6 .
Total number of ways to assemble a pizza = (3 x 8 x 7 x 6) = 1,008 ways.
<span>BUT . . . </span>
You could choose the SAME 3 toppings in (3 x 2) = 6 different ways, and
nobody could tell the difference once they were selected. All 6 different
ways would result in the same pizza.
So, out of the 1,008 total different ways there are of choosing ingredients,
<span>there are only ( 1,008 / 6 ) = </span>168<span> different and distinct pizzas.</span>
The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.
<h3>How do we calculate the monthly payment of a loan?</h3>
Firstly, we calculate the future value (FV) of the loan in 4 years as follows:
FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45
Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:
M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)
Where:
M = Monthly payment = ?
r = monthly interest rate = 0.056 / 12 = 0.00466666666666667
n = number of months = 12 years * 12 months = 144
Substituting all the relevant values into equation (1), we have:
M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)
M = $97.22
Learn more about future value here: brainly.com/question/2472793.
#SPJ1
