Answer:
630
Step-by-step explanation:
The sum of an arithmetic sequence is given by ...
Sn = n(2a1 +(n-1)d)/2
For the sequence of numbers of bales, we have ...
a1 = 123, d = -11, n = 7
so the total number of bales in 7 trips around the field is ...
S7 = 7(2·123 +6(-11))/2 = 630
The total number of bales made is about 630.
_____
123 + 112 + 101 + 90 + 79 + 68 + 57 = 630
The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.
<h3>What is compound interest?</h3>
The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.
The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.
Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.
Using the formula A = P(1 + r/n)^nt
Solving for rate r as a decimal
r = n[(A/P)^(1/nt) - 1]
r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]
r = 0.1
Then convert r to R as a percentage
R = r × 100
R = 0.1 × 100
R = 10%/year
Learn more about compound interest
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Point a is at (-2,4) => (x1,y1)
Midpoint is (2.5, 3.5) => (a,b)
Point B is (x2, y2)
To find midpoint we use formula
a= 2.5, b= 3.5, x1= -2 and y1= 4
Plug in all the values and findout x2, y2
multiply 2 on both sides to remove fraction
(5 = -2+x2 , 7 = 4+ y2)
5 = -2+x2, so x2= 7
7 = 4+ y2, so y2= 3
The point B is ( 7, 3)
