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Katarina [22]
2 years ago
10

A U.S. citizen invested a $1200 government stimulus check they received on March 1, 2020,

Mathematics
1 answer:
NeX [460]2 years ago
3 0

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

A = Pe^{rt} where

  • A = final amount of stocks
  • P = initial amount of stocks = $1200,
  • r = compounding rate = 20.2 % = 0.202
  • t = 9 months = 0.75 years

Substituting the values of the variables into the equation, we have

A = Pe^{rt}

A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29

So, the stocks are worth $ 1396.29 nine months later.

Learn more about continuous compounding here:

brainly.com/question/24722580

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Step-by-step explanation:

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Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

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A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

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B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

50+10\neq 150

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

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