Answer:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
Answer:
The interest is
<h2>$ 769.50</h2>
Step-by-step explanation:
Simple interest is given by
where
P is the principal
R is the rate
T is the time given
From the question
The principal / P = $ 5700
The rate / R = 4.5%
The time given / T = 3 years
So the interest is
We have the final answer as
I = $ 769.50
Hope this helps you
A toy company needs to profit at least $500 from selling cars and trucks. A car can make a profit $2 while the truck can $3 profit.
let x be the number of cars
let y be the number of truck
If 200 resources for the car per week, we have:
Profit = $2x + $3y
$500 = $2*200 + $3*y
$500 - $400 = $3y
100 = 3y
y =100/3 = 33.33
The number of trucks needs to produce per week is at least 34 pieces.
