Answer:
$4.34
Step-by-step explanation:
Given the information:
- The original price: $5
- Discount : 20%
- Tax: 8.5%
We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
- The tax amount she need to pay is:
= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
Using it's formula, considering a loan of $10,000, the regular monthly payments required to pay off the loan will be of $221.3.
<h3>What is the monthly payment formula?</h3>
It is given by:
In which:
- n is the number of payments.
In this problem, we have that the parameters are given as follows:
P = 10,000, r = 0.0299, n = 4 x 12 = 48.
Then:
r/12 = 0.0299/12 = 0.00249167.
Hence, the monthly payment will be given by:
A = 221.3.
More can be learned about the monthly payment formula at brainly.com/question/22846480
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Answer:
x can be 3, -3, i, or -i.
Step-by-step explanation:
If you can't find the factoring by looking at this, simplify the equation.
let
x
2
=
y
to make things easier to see
Now we have
y
2
−
8
y
−
9
=
0
See it now?
We can factor into
(
y
−
9
)
(
y
+
1
)
Now substitute back in
x
2
for
y
.
(
x
2
−
9
)
(
x
2
+
1
)
Since
(
x
2
−
9
)
is a difference of two squares,
(
x
−
3
)
(
x
+
3
)
Now we have
(
x
−
3
)
(
x
+
3
)
(
x
2
+
1
)
x can be 3, -3 for the first two parts
x
2
+
1
=
0
can become
x
2
=
−
1
Taking the positive and negative root means
x
=
±
√
−
1
Thus
x
=
±
i
in addition to 3 and -3.
elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
