Answer:
50⁰
Step-by-step explanation:
Add 130 plus 50 to get 180.
[tex]b_{3}=225[tex]
[tex]b_{4}=51125[tex]
[tex]b_{5}=2613788125[tex]
Answer:
<2 and <7
<1 and <8
Step-by-step explanation:
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
The monthly payment is £114.
Step-by-step explanation:
Step 1:
First, we determine how much the TV costs in total.
The TV is priced at £1,200 and a 20% VAT.
The total cost of the TV
So the total cost of the TV is £1,440.
If a deposit of £300 is paid, the balance to be paid
This £1,140 is to be paid in the next 10 months.
Step 2:
To calculate the monthly cost to be paid we divide the total cost by the number of months.
The cost to be paid every month
So the monthly payment is £114.