102-(-8)+20-60-10+(-20)+30-(-30)
2 answers:
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Answer:
Option C is correct.
She is not correct as she use the wrong y intercepts when graphing the equations.
Step-by-step explanation:
Given the system of equations:
.....[1]
. .....[2]
equate these two equations we get;
Add 5 to both sides we get;
Add 2x to both sides we have;
Multiply both sides by 3 we get;
8x = 24
Divide both sides by 8 we get;
x = 3
Substitute the value of x in [2] we have;
y = -2(3)+3 = -6+3
Simplify:
y = -3
Therefore, the correct solution for this given system of equation is (3, -3)
You can see the graph of these equations below.
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:
Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:
Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R
We have two complex solutions.
If D = 0
√0 = 0
then:
We have only one real solution (or two equal solutions, depending on how you see it)
Answer:
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84
Step-by-step explanation:
Loan payment per month=Amount to pay÷discount factor
Mathematically P=A÷D
where D is the discount factor calculated using the formula;
where i=periodic interest rate=annual rate divided by number of payment periods
A is the amount to pay after downpayment
P is the loan monthly payment amount
n=number of periodic payments=payments per year times number of years
⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments
Given;
Cost of boat=$32000
Down payment=$14000
Loan to pay=$32000-$14000=$18000
Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458
Periodic payments, n=4×12=48
Finding the discount factor D;
To get the amount to pay monthly divide the loan to pay with the discount factor
Monthly payments=$418.14
Total amount will be=down payment + 48×$418.14
$14000+$20070.84=$34070.84