Answer:
When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.
Savings Annuity Payout Annuity
P
N
=
d
(
(
1
+
r
k
)
N
k
−
1
)
(
r
k
)
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
PAYOUT ANNUITY FORMULA
P
0
=
d
(
1
−
(
1
+
r
k
)
−
N
k
)
(
r
k
)
P0 is the balance in the account at the beginning (starting amount, or principal).
d is the regular withdrawal (the amount you take out each year, each month, etc.)
r is the annual interest rate (in decimal form. Example: 5% = 0.05)
k is the number of compounding periods in one year.
N is the number of years we plan to take withdrawals
Answer:
IV
In the fourth quadrant (IV).
Step-by-step explanation:
In the IV quadrant the x coordinate is always positive and the y coordinate is always negative. So the x coordinate is always larger than the y coordinate.
<span> -x^2 + -14x = 49
-(x^2 +14) = 49
-[(x+7)^2 -49] = 49
</span>
Hello :
<span>y=-8x-2 and y=-6x+4
-8x-2 = -6x +4
-8x+6x =2+4
-2x =6
x = - 3
y = -6(-3)+4 =22</span>
<span> a⁴(3a² - 2a + 1)
We just have to multiply each term inside the parentheses by a⁴ .
a⁴</span><span>(3a² ) = 3a⁶
a⁴</span><span>( - 2a ) = -2a⁵
a⁴</span><span>( 1) = a⁴
Now, just addum up : 3a⁶ - 2a⁵ + a⁴</span>
