Answer:
1. JG (Jim gets first prize, George gets second prize)
2. JH (Jim gets first prize, Helen gets second prize)
3. JM (Jim gets first prize, Maggie gets second prize)
4. GH (George gets first prize, Helen gets second prize)
5. GJ (George gets first prize, Jim gets second prize)
6. GM (George gets first prize, Maggie gets second prize)
7. MJ (Maggie gets first prize, Jim gets second prize)
8. MG (Maggie gets first prize, George gets second prize)
9. MH (Maggie gets first prize, Helen gets second prize)
Step-by-step explanation:
The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.
The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
Answer:
The total cash received is $30740.
Step-by-step explanation:
Montana Company sold merchandise with a retail price of $ 29,000 for cash. Montana Company is required to collect a 6 % state sales tax.
Therefore, the total cash received from customer = Retail Price + State Sales Tax.
= 
= $30740
Hence, the total cash received is $30740. (Answer)
Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y =
+ 2 will be translated 2 units up from the graph of y =
.
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the
, which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y =
- 2 will be translated 2 units down from the graph of y =
.
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the
, which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2
is a stretched version of the graph y =
. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y =
is a compressed version of the graph y =
. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]