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NNADVOKAT [17]
3 years ago
9

Find the interest rate r given I=$ 56,P=450 and t = 6 years , round your answer to the nearest

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

0.163

Step-by-step explanation:

P = I (1 + r)ᵗ

450 = 56 (1 + r)⁶

8.036 = (1 + r)⁶

log₆ 8.036 = 1 + r

log 8.036 / log 6 = 1 + r

1.163 = 1 + r

r = 0.163

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Pls help
KATRIN_1 [288]

Answer:

169.04 in² (nearest hundredth)

Step-by-step explanation:

Surface area of a cone = \pir² + \pirl

(where r = radius of the base and l = slant height)

Given slant height l = 10 and surface area = 188.5

Surface area  = \pir² + \pirl

188.5 = \pir² + 10\pir

\pir² + 10\pir - 188.5 = 0

r = \frac{-10\pi +\sqrt{(10\pi )^2-(4\times\pi \times-188.5)} }{2\pi } = 4.219621117...

Volume of a cone = (1/3)\pir²h

(where r = radius of the base and h = height)

We need to find an expression for h in terms of l using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height

r² + h² = l²

h² = l² - r²

h = √(l² - r²)

Therefore, substituting found expression for h:

volume of a cone = (1/3)\pir²√(l² - r²)

Given slant height l = 10 and r = 4.219621117...

volume = 169.0431969... = 169.04 in² (nearest hundredth)

5 0
2 years ago
Read 2 more answers
15. Using the circle below, find each arc length. Round to the nearest hundredth. R a) ST b) RPT 97 125 PS = 28 feet
Troyanec [42]

The measure of arcPR and arcRPT are 83 and 208 degrees respectively

The measure of arc ST will be gotten using the expression below:

arcPS = arcPT + arcST

Given the following

  • arcPT = 125 degrees
  • arc PS = 180 degrees

arcST = arcPS - arcPT

arcST = 180  - 125

arcST = 55 degrees

Similarly, arcPR = 180 - arcRS

arcPR = 180 - 97

arcPR = 83 degrees

arcRPT = arcPR + arcPT

arcRPT = 83 + 125

arcRPT = 208 degrees

Hence the measure of arcPR and arcRPT are 83 and 208 degrees respectively

Learn more about circles here: brainly.com/question/24375372

7 0
2 years ago
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