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navik [9.2K]
3 years ago
11

A rainbow forms when sunlight reflects off raindrops at different angles. For the blue light, the measure of angle 2 is 40 degre

es. What is the measure of angle 1.
Mathematics
2 answers:
liraira [26]3 years ago
7 0

Answer:

The measure of angle 1 is 40 degrees.

Step-by-step explanation:

Given that a rainbow forms when sunlight reflects off raindrops at different angles. Here, the process of reflection occurs. According to the laws of reflection, the angle of incidence is equal to the angle of reflection.

For the blue light, the measure of angle 2 is 40 degrees. Here the law of reflection will be used. So, the measure of angle 1 is as same as 40 degrees.

Hence, this is the required solution.

In-s [12.5K]3 years ago
4 0
Hello, 
a angle is formed on a line of 180 degrees, so what your going to want to do it since your first angle is 40 degrees subtract 40-180= 140.

angle 2 is 40 degrees 

hope that helped good luck 
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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)}

or

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

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

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