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Alexxx [7]
3 years ago
13

Jace invested $8,300 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals

are made, how much money, to the nearest dollar, would be in the account after 14 years?​
Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

Answer:

  • $20911

Step-by-step explanation:

<u>Given</u>

  • Investment   P₀ = $8300
  • Interest rate   r = 6.6%
  • Compound = continuous
  • Time   t=14 years
  • P = ?

<u>Formula for continuous compound interest:</u>

  • P = P₀e ^rt, where e = 2.71828, constant used for continuous interest
  • P = 8300*(2.71828)^(14*0.066)
  • P = $20910.57 = $20911 rounded to the nearest dollar

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2) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Pythagoras' theorem:

(5)<span>2 </span>+ (2)2 =

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3) Buying a Suitcase: Mr. Harry wants to purchase a suitcase. The shopkeeper tells Mr. Harry that he has a 30 inch of suitcase available at present and the height of the suitcase is 18 inches. Calculate the actual length of the suitcase for Mr. Harry using Pythagoras' theorem. It is calculated this way:

(18)<span>2 </span>+ (b)2 = (30)2

324 + b2 = 900

B2 = 900 – 324

b= √576

= 24 inches

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Answer:

hi the right answer is option C.112

here's why:

\frac{14}{50}  \times 400 = 112

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