Select all expressions that are equivalent to (2n+6)(n+3)
Answers
Answer:
(2n+6)(n+3)=
(2*n+2*3)(n+3)=
2(n+3)(n+3)=.....(1)
2(n+3)^2=....(2)
2(n^2+2*n*3+3^2) =
2(n^2+6n+9)=....(3)
2n^2+2*6n+2*9=
2n^2+12n+18.... (4)
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$
nothing should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answers
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
Final answer:
To have $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
Explanation:
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:
- A is the future value of the investment
- P is the principal amount, or the initial deposit
- r is the annual interest rate (expressed as a decimal)
- n is the number of times interest is compounded per year
- t is the number of years
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 $65,000 in 8 years for a down payment on a house, nothing needs to be deposited today.
Learn more about Compound interest here:
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((3+7)/2) can be used to find the x-coordinate of the point.
((-1-6)/2) can be used to find the y-coordinate of the point.
(–7 – 3) + 3 can be used to find the x-coordinate of the point.
(–6 – 1) – 1 can be used to find the y-coordinate of the point.
– 1 can be used to find the y-coordinate of the point.
Answers
the expression to find the x coordinate of the midpoint of PQ is
Mx=(x1+x2)/2
Mx=(Px+Qx)/2-----> (3-7)/2----> -2
the expression to find the y coordinate of the midpoint of PQ is
My=(y1+y2)/2
My=(PyQy)/2-----> (-1-6)/2----> -3.5
the midpoint is (-2,-3.5)
the answer is
((-1-6)/2) can be used to find the y-coordinate of the point.
Answers
(theta)/360 · 2(pi)r
theta is the given angle
r is radius of the circle
Hope this helps!
If you have any questions, please comment below.
Answers
Answer: Not enough information here at all!
Could be 195 2.5$ tickets and 8 4$ tickets and many more answers
Step-by-step explanation:
Answers
3x-6= 12
Answers
Answer:
Sue buy 21 balls.
Answer:
21
Step-by-step explanation:
7 cans times 3 balls each equals 21 balls