The function f is defined by f(x) = a + bcos2x, for 0 ≤ x ≤ π. It is given that f(0)=−1 and f(1/2π) = 7. (i) Find the values of
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Answer:
Step-by-step explanation:
To solve this problem we must pay attention to the following data supplied:
- f It is the number of figurines that remain to be painted.
- t amount of time, in minutes, that Colin spends painting
- Colin takes 20 minutes painting each figurines.
- After painting 60 min, he still has 9 figurines left. f (60) = 9
If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.
Then, at the beginning he has 9 +3 figurines to be painted.
With these two points we can find the function:
If m is the slope of the line, then:
Where by definition
Finally the formula is:
Answer:
The total amount to be paid for new home is $838,014.72
Step-by-step explanation:
Given as :
The price of the new house = $256,000
The down payment amount = 30% of house price
So, The down payment price = 30% of $256,000
i.e The down payment price = × 256000
Or, The down payment price = $76,800
Now, rest amount is finance
So, The finance Amount = p = $256000 - $76800 = $179,200
The rate of interest applied = r = 7.5%
The time period of finance = t = 20 years
Let The Amount after 20 years of finance = $A
Let The total amount to be paid for new home = $B
<u>Now, From Compound Interest </u>
Amount = Principal ×
Or, A = p ×
Or, A = $179,200 ×
Or, A = $179,200 ×
Or, A = $179,200 × 4.24785
∴ A = $761,214.72
So,The Amount after 20 years of finance = A = $761,214.72
<u>Now, Again</u>
The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance
Or, B = $76,800 + A
Or, B = $76,800 + $761,214.72
Or, B = $838,014.72
So, The total amount to be paid for new home = B = $838,014.72
Hence, The total amount to be paid for new home is $838,014.72 Answer