The quarterly payment will be $1,127.86
<h3>What is compound interest?</h3>
Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.
The amortization formula is ...
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have
P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
Hence the quarterly payment amount is $1,127.86.
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Answer:
Number 2
Step-by-step explanation:
Number two. Okay?
Answer:
Area = 1250cm²
Step-by-step explanation:
Area of a kite = pq/2
where p and q are diagonals
p = 25+25 = 50
q = 30+ 20 = 50
Area of a kite = pq/2
Area = (50*50 ) / 2
Area = 1250cm²
Michael
Michel Can travel 70 mile on one gallon which is 1400 miles on 20 gallons
Laura can only travel 26 miles on one gallon which is 520 miles on 20 gallons
Explanation:
In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula 
If we evaluate g at the endpoints we have
g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))
g(1/2) = f(1) - f(1/2) = -g(0)
Since g(1/2) = -g(0), we have one chance out of three
- g(0) > 0 and g(1/2) < 0
- g(0) < 0 and g(1/2) > 0
- g(0) = g(1/2) = 0
We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0. This proves that g has at least one zero on [0,1/2].
Let c be a 0 of g, then we have
Hence, f(c+1/2) = f(c) as we wanted.
