Step-by-step explanation:
︻╦デ╤━╼︻╦デ╤━╼︻╦デ╤━╼︻╦デ╤━╼︻╦デ╤━╼︻╦デ╤━╼︻╦デ╤━╼
Here we're discussing the "nth partial sum of a geom series."
1 - r^n
The formula for that is s(n) = a(1) ---------------
1-r
We can subst. the given values and see where that takes us:
1 - (-2)^6 1 - 64
105 = a(1)*---------------- = ----------*a(1) = -21*a(1)
1-(-2) 3
105
Solving this for a(1): a(1) = --------- = -5 (answer)
-21
Answer:
$1,161.83
1.51%
Step-by-step explanation:
Continuously compounded interest is:
A = Pe^(rt)
where A is the final amount,
P is the initial amount,
r is the rate per time,
and t is time.
Given P = 1000, r = 0.015, and t = 10:
A = 1000e^(0.015 × 10)
A = 1000e^(0.15)
A = 1161.83
The effective annual yield is the annually compounded rate needed to have the same yield after the same time. For continuously compounded interest, he equation for effective annual yield is:
R = -1 + e^r
R = -1 + e^0.015
R = 0.0151
The effective annual yield is 1.51%.
Answer:
f(x) = 2×4 + 5 / 4 = 13 /4
g(x) = 5|3 - 11 | = 5 | -3 | = 15
h(x) = -1 +√(19 + -3) = -1 + √16 = -1 + 4 = 3
Step-by-step explanation:
Simply plug in the pure numbers found inside the brackets like f(-2) into the functions given above.
if it's g(3) then replace x by 3 in the function g(x)
-1+5
--------. =
-2+9
-4
----- = 7/4
7