Solve the following exercises using the corresponding formulas step by step:
i.
Consider arithmetic progression {6, 13, 20, 27, ...}
a. Determine the general term of this progression.
Use the following formula: an = a1 + (n - 1) d
b. Determine the sum of the first 38 terms.
Use the following formula:
Sn =
(a1 + an)n
2
ii.
Adriana aspires to buy a room set that costs $ 1,169 to pay monthly for three years. She
will pay at an interest of 1.4% monthly. How much will your monthly payments amount
to?
Use the annuity formula: A = VP ,_(1+1)-")
iii. A company specializing in activities offers banquet services to groups of people at the
cost of $ 18 per person plus a fixed charge of $ 249. Find the total cost that the company
would set for an activity of 225 people.|
Use the following formula: Vc = mx + b
iv.
For a watch manufacturer, the cost of labor and materials per watch is $ 51 and the
fixed costs are $ 1386 per month. If you sell each watch for $ 84, how many watches
should you produce and sell each month to ensure that the business stays at the break-
even point?
Use the following formula:
12 =
X=