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3 years ago

How much money invested at 0.5% compounded continuously for 10 years will yield $950

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Answer:

The principal is $903.78.

Step-by-step explanation:

To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

A=$950 , r=0.5% , n=1 and t=10 years

After plugging the given information we have

950950950PP=P(1+0.0051)1⋅10=P⋅1.00510=P⋅1.05114=9501.05114=903.78

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lilavasa [31]

Answer: We can cut 6 $\dfrac23$ sections out of each piece of wood.

Step-by-step explanation:

Given: A piece of wood is 4 feet long.

Number of $\dfrac23$ sections = $4\div\dfrac23$

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i.e. Number of $\dfrac23$ sections = 6

Hence, we can cut 6 $\dfrac23$ sections out of each piece of wood.

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3 years ago

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Lana71 [14]

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3 years ago

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According to a map, the distance between Hilltop and Valleyfloor is 1 3/4 inches. If the map uses a scale of ¼ inch to represent 1 mile, what is the actual distance in miles from Hilltop to Valleyfloor?

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4 years ago

The areas of two similar triangles have a ratio of 4:25. what is the ratio of their perimeters

Fittoniya [83]

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Step-by-step explanation:

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4 years ago

Someone help please and thank you!

Mariulka [41]

Answer:

$\boxed{11\frac{1}{3}}$

Step-by-step explanation:

$\text{Number of stones} = \frac{\text{Length of path}}{ \text{ Length of each stone}}\\$

$= 2\frac{5 }{ 6} \div \frac{ 1}{ 4}\\$

Convert the mixed number to an improper fraction

$2\frac{5 }{ 6} \div \frac{ 1}{ 4} = \frac{17}{6}\div\frac{ 1}{ 4}\\$

Invert the denominator and change division to multiplication

$\frac{17}{6}\div\frac{ 1}{ 4} = \frac{17}{6}\times \frac{ 4}{ 1}\\$

Cancel the 2s

$\frac{17}{6}\times \frac{ 4}{ 1} = \frac{17}{3}\times \frac{ 2}{ 1}\\$

Multiply numerators and denominators.

$\frac{17}{3}\times \frac{ 2}{ 1} = \frac{ 34}{ 3}\\$

Convert the improper fraction to a mixed number.

$\frac{ 34}{ 3} = 11\frac{1}{3}\\$

It takes $\boxed{11\frac{1}{3}}$ stones to complete the path.

5 0

3 years ago