Answer:
a) 10 pieces of 2/3 pound can be made.
b) 0.54 pounds of wax is left over.
Step-by-step explanation:
Total amount of clear wax available = pounds
So, the maker has in total 4.5 pounds of wax
Now, The weight of each piece = pounds
To find the number of pieces that can be made out of 4.5 pounds of wax,
let that number = n
So,
or, n =
So, nearly 6 pieces can be made completely out of the clear wax
Left over amount of wax = Total weight - Weights of the pieces made
= 4.5- 6(0.66)
= 0.54 pounds
Hence, 0.54 pounds of wax is left over
Answer:
The African elephant weighs <u>111.5 tons</u> less than a blue whale.
Step-by-step explanation:
Given:
Animal Weight(pounds)
African Elephant 15,000
Blue Whale 238,000
Now, to find the weight of how more tons does a blue whale weigh than an African elephant.
As given, 1 ton = 2,000 pounds.
So, to convert the weight from pound to tons by dividing:
African elephant
Blue whale
Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:
Therefore, the African elephant weighs 111.5 tons less than a blue whale.
In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.
After k payments, the amount A still owed is
<span>A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i,
= (P-Mq/i)(1+[i/q])k + Mq/i.
</span>The amount of the fixed payment is determined by<span>M = Pi/[q(1-[1+(i/q)]-nq)].
</span>The amount of principal that can be paid off in n years is<span>P = M(1-[1+(i/q)]-nq)q/i.
</span>The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]).
The total amount paid by the borrower is Mnq, and the total amount of interest paid is<span>I = Mnq - P.</span>
Scale Drawings are drawings that are used to show the true size of something.
Scale drawings are most commonly used in maps, or in large scale drawings. These show the scale of something. It may show that 1cm is equivalent to 1km, which would allow someone to measure the map to see how far the distance it. It also allows a map to be made smaller, and less detailed- making it often easier to read.
Hope this helps :)
Answer:
54/25
Step-by-step explanation:
54/25 is the simplest form of 2.16 when writing as a fraction.