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3 years ago

What principal invested at 8% compounded continuously for 4 years will yield $1190?

1 answer:

7 0

For continuously compounded interest:

Amount = Principle * e^(rate * time)

A rate of 8% converted to a decimal value: r=0.08
With time t=4
and amount 1190

Plug all these values in,

1190 = Principle * e^(0.08 * 4)

And use your calculator to solve for the principle.
Maybe we'll call it P to make things easier.

1190 = P * e^(0.08 * 4)
1190 = P * 1.377

The principle is being multiplied by this 1.377,
divide by 1.377 to undo the multiplication.

864.11735 = P

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Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they hav

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Answer:

Around 217 pounds

Step-by-step explanation:

Let's convert the height into inches.

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How does 4 digit addends have a 5 digit sum

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A 4 digit addends could have a 5 digit sum because of the rule of regrouping.
Regrouping is a situation where carrying and borrowing is involves. So let’s have an example

8999
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14677

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9+8 = 17, so we bring down 7 and carry 1
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3 years ago

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

Unit rate for 400m race:

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago