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HACTEHA [7]
3 years ago
14

Find the Value of X.

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0
To find the value of x, we can actually simplify this thing down using the property that ln(e) = 1. You can think of it as "What power do I need to raise e to, to get e^5?" Let's do that:
x = lne^5 = 5

So, x = 5
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min = 64.2m ; max = 86.2m

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d_{max} = BC_{UB} - CD_{LB}&#10;\\ \\ d_{max} = \frac{AC_{UB}}{tan(B)_{LB}} - \frac{AC_{LB}}{tan(D)_{UB}}&#10;\\ \\ d_{max} = \frac{38.35}{tan(11.5)} - \frac{38.25}{tan(20.5)}&#10;\\ \\ d_{max} = 86.2m (3sf)

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I believe the answer is $20,073.38

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Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.

Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.

Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.

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3 years ago
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