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Home » \cos 60^\circ = \frac\textadjacent\texthypotenuse = \frac12 - Dachbleche24

\cos 60^\circ = \frac\textadjacent\texthypotenuse = \frac12 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A company offers a 10% annual interest rate compounded quarterly on a savings account. If an initial investment of $1,000 is made, what will be the balance after 3 years?

📌 \(A = P \left(1 + \frac{r}{n}\right)^{nt}\)

📌 Where \(P = 1000\), \(r = 0.10\), \(n = 4\) (quarterly), and \(t = 3\).

📌 \(A = 1000 \left(1 + \frac{0.10}{4}\right)^{4 \times 3}\)

📌 \(A = 1000 \left(1.025\right)^{12}\)

📌 \(A = 1000 \times 1.34489 \approx 1344.89\)

📌 The balance after 3 years will be approximately $1344.89.

📌 #### 1344.89

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$ k(2) = 2(2)^2 - 4(2) + m = 8 - 8 + m = m $
Since $ h(2) = k(2) $, we have:
m = 5
$$Question: How many numbers are in the list \( 3, 8, 13, \ldots, 98 \...
Solution: The given sequence is an arithmetic sequence with the first...
a_n = a + (n-1) \cdot d = 3 + (n-1) \cdot 5
We need to find \( n \) such that \( a_n = 98 \):
+ (n-1) \cdot 5 = 98
Subtract 3 from both sides:
Divide by 5:

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