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2 years ago

8

Mathematics

1 answer:

lukranit [14]2 years ago

4 0

Answer:

12.56

Step-by-step explanation:

180/360×2×3.142×4

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Add -3 5/6 + 5 3/7 A.) 1 25/42 B.) 2 8/13 C.)-9 11/42 D.) 1 27/42

Fantom [35]

Answer:

A. 1 25/42

Step-by-step explanation: =-3 5/6 +5 3/7

= (-23/6)+ (38/7)

=(-161+228)/42

=-67/42

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3 years ago

The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diam

Vikki [24]

I believe C/12=pi which means the answer would be B.

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3 years ago

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How do I factor 5n^2 +19n+12

trapecia [35]

I hope this helps you

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3 years ago

Mia is drawing an angle that is made up of 35 one-degree angles. How many degrees is Mia's angle?

Tcecarenko [31]

Answer:

35 degrees

Step-by-step explanation:

add all the one degrees together

3 0

3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

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5 0

3 years ago