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Naddika [18.5K]
3 years ago
8

Harold, Clara, and Mark each chose a different lunch from three categories:

Mathematics
1 answer:
Yanka [14]3 years ago
8 0

Answer:

a) Harold

b) Clara

Step-by-step explanation:

Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.

A explanation)

  • Mark must eat soup since he doesn't eat bread (sandwich) or salads.
  • Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.
  • Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.

B explanation)

  • The person who had soup had iced tea; meaning Mark drank Iced Tea.
  • The person who had the sandwich also had the milk; Harold drank milk.
  • The only person missing a drink is Clara, so she ordered mineral water.
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Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t
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Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

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Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

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6 0
3 years ago
Count the left handed and right handed spirals on the cacti in the photograph you should get two consecutive terms of the Fibona
lana [24]
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Fibonacci numbers are found in many structures in nature.

We have just found that these cacti enclose Fibonacci numbers 13 and 21.

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Hey there! :D

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It is a scalene triangle. It has no equal sides and no equal angles.

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~kaikers
6 0
3 years ago
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ankoles [38]
We subtract the 17 from the 981 to make the two sides even so it’s easier to calculate, 981 - 17 = 964, then divide that by 2, 964/2 = 482. So your answer is 482.

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