If you answer ALL questions listed, you get a good amount of points (3 questions, 5 points each, 15 points total) :D 1) Which pair are solutions to the equation?
4xy + 8 = 36
A.
(7, 1) and (3, 2)
B.
(1, 7) and (7, 1)
C.
(1, 7) and (4, 9)
D.
(4, 9) and (3, 2)
2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?
5x - y over 3 = 13,
(2, -9) (3, -6)
A.
The first is not a solution, but the second is.
B.
Both are solutions.
C.
The first is a solution, but the second is not.
D.
Neither is a solution.
3)
Which ordered pairs in the form (x, y) are solutions to the equation
7x – 5y = 28?
Choose all answers that are correct.
A.
(−6, −14)
B.
(−1, −7)
C.
(4, 10)
D.
(7, 9
1. 4xy+8=36
4xy=28
xy=7
2. 5(2)-(-9)/3=13
10-(-3)=13
13=13
5(3)-(-6)/3=13
15-(-2)=13
17≠13
3. 7(-6)-5(-14)=28
-42+70=28
28=28
7(-1)-5(-7)=28
-7+35=28
28=28
7(4)-5(19)=28
28-50=28
-22≠28
7(7)-5(9)=28
49-45=28
4≠28
Hope this helps... :)
$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Solve for P
To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
To find the amount that must be deposited today, we can use the formula for compound interest. The formula is given by:
A = P(1 + r/n)nt
Where:
We know that the future value (A) that we want is $65,000, the annual interest rate (r) is 4% or 0.04 (expressed as a decimal), the number of times interest is compounded (n) is 1 (since it's compounded annually), and the number of years (t) is 8. We need to find the principal amount (P).
Plugging the values into the formula, we can solve for P:
$65,000 = P(1 + 0.04/1)1 * 8
First, we simplify the fraction:
$65,000 = P(1 + 0.04)8
Next, we calculate the value inside the parentheses:
$65,000 = P(1.04)8
Finally, we solve for P by dividing both sides by (1.04)8:
P = $65,000 / (1.04)8
Using a calculator, we find that P ≈ $49,207.75. Therefore, to have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
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