A. f(x)= 100*1.04^t
Exponential functions follow the form of y=ab^x, where a is the principal amount, b is the rate of growth or decay (1+0.04), and x is the time.
b. f(8)= 100*1.04^8
100*1.368569...
136.856
Final answer: $136.86
Answer:
a = 13 and b = 12-5i
Step-by-step explanation:
We need a common denominator
3+2i 5-i
---------- + ---------
3-2i 2+3i
(3+2i) (2+3i) (5-i)(3-2i)
------------------ + --------------------
(3-2i) (2+3i) (2+3i) (3-2i)
Foil the numerators
6 +4i+9i+6i^2 +15-3i-10i+2i^2
------------------ --------------------
(2+3i) (3-2i)
Combine like terms
21 +8i^2
------------------
(2+3i) (3-2i)
We know that i^2 = -1
21 +8(-1)
------------------
(2+3i) (3-2i)
21 -8
------------------
(2+3i) (3-2i)
13
------------------
(2+3i) (3-2i)
Foil the denominator
13
---------------
6 +9i -4i -6i^2
Combine like terms
13
----------------
6+ 5i -6(-1)
13
----------
12 +5i
We know have
13
-------------
12 + 5i
Multiply by the conjugate
13 ( 12-5i)
------------- * -------------
12 + 5i 12 -5i
13 (12-5i)
--------------
144 +25
13(12-5i)
-------------
169
12-5i
------------
13
The parentheses are (12-5i)/13
We need the reciprocal to make the equation become 1
which is 13/ 12-5i
a = 13 and b = 12-5i
Step-by-step explanation:
<u>17.5 (Ans</u>)
Answer:
252 inches
Step-by-step explanation:
Alright, so we've got to find the surface area of both of the rectangular prisms and add them together.
We can use the equation 2(2l+hl+hw)
Plug the numbers in for the first box and you get 62 for the surface area.
Do the same for the second, you should get 190.
Now we just need to add the two together. 190+62= 252
