Answer:
The interest earned the following year = $75
Step-by-step explanation:
Interest = $75
Rate = 4%
Time = 1 year
To find the Principal, Using the formula for Simple Interest :
Now, to find amount of interest for the second year :
T = 2 years
t = 1 year
Principal = $1875
Rate = 4%
Hence, The interest earned the following year = $75
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Answer:
Area=144m²
Step-by-step explanation:
I hope you don't have any difficulty in understanding this answer
Answer:
In Exercises 1-15 use mathematical induction to establish the formula for n ≥ 1.
1. 1
2 + 22 + 32 + · · · + n
2 =
n(n + 1)(2n + 1)
6
Proof:
For n = 1, the statement reduces to 12 =
1 · 2 · 3
6
and is obviously true.
Assuming the statement is true for n = k:
1
2 + 22 + 32 + · · · + k
2 =
k(k + 1)(2k + 1)
6
, (1)
we will prove that the statement must be true for n = k + 1:
1
2 + 22 + 32 + · · · + (k + 1)2 =
(k + 1)(k + 2)(2k + 3)
6
. (2)
The left-hand side of (2) can be written as
1
2 + 22 + 32 + · · · + k
2 + (k + 1)2
.
In view of (1), this simplifies to:
Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)