Answer:
f(1) = 4; f(n) = 4 + d(n - 1), n > 0.
Step-by-step explanation:
This arithmetic sequence has a common difference of d with first term = 4.
f(1) = 4; f(n) = 4 + d(n - 1), n > 0.
Answer:
B. 4x-8
Step-by-step explanation:
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
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Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.
Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44
Putting the money in an online savings account will earn him 4.85% annual interest
Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97
He will be charged $3 every time he makes an ATM withdrawal.
In online account, the interest is 97 . If he withdraws 18 times then
Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43
43 is lower than 44 that is interest of local account.
Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.
1) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum simple interest after 6 years are <u>R25,400</u> and <u>R5,400</u> respectively.
2) The accumulated amount after six years and the total interest that Trevor will receive if the interest rate is 4.5% per annum compound interest after 6 years are<u> R26,045.20</u> and <u>R6,045.20</u> respectively.
<h3>Data and Calculations:</h3><h3>Simple Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
Simple interest for 6 years = R5,400 ($20,000 x 6 x 4.5%)
Principal + Interest = R25,400 (R20,000 + R5,400)
<h3>Compound Interest:</h3>
Principal = R20,000
Investment period = 6 years
Interest rate = 4.5%
N (# of periods) = 6 years
I/Y (Interest per year) = 4.5%
PV (Present Value) = R20,000
PMT (Periodic Payment) = R0
<u>Results</u>:
FV = R26,045.20
Total Interest = R6,045.2
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