Answer:
A.) g (x) = f (x) - 2
Step-by-step explanation:
The first thing we are going to do in this case is to take into account the following definition.
Translations are transformations that change the position of the graph of a function.
The general shape of the graph of a function is moved up, down, to the right or to the left.
The translations are considered rigid transformations. Now we will see how these are performed.
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Using the definition we conclude that:
g (x) = f (x) - 4
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
Well first of all, let's define what an integer is...
Integers are numbers such as -2, -1, 0, 1, 2 etc etc.
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If f(5)=12,
f(6)=0.3*f(6-1)
= 0.3*f(5)
= 0.3*12
= 3/10 * 12
= 36/10
= 3.6
We now know that f(6)=3.6
Now:
f(7)=0.3*f(7-1)
= 0.3*f(6)
= 0.3*3.6
= (3/10) * (36/10)
= 108/100
= 1.08
Answer:
f(7)=1.08
They could be 28 + 29 + 30
