<h3>Answer: A. 5/12, 25/12</h3>
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Work Shown:
12*sin(2pi/5*x)+10 = 16
12*sin(2pi/5*x) = 16-10
12*sin(2pi/5*x) = 6
sin(2pi/5*x) = 6/12
sin(2pi/5*x) = 0.5
2pi/5*x = arcsin(0.5)
2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n
2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n
x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)
x = 5/12+5n or x = 25/12+5n
these equations form the set of all solutions. The n is any integer.
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The two smallest positive solutions occur when n = 0, so,
x = 5/12+5n or x = 25/12+5n
x = 5/12+5*0 or x = 25/12+5*0
x = 5/12 or x = 25/12
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Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.
Answer:
974
Step-by-step explanation:
Initial × Increase percentage ^ Time
500 × (1 + 10%)^(70/10)
500 × 1.1^7
= 974.36
The population of the town in 70 years will be 974.
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
<h3>What is face value?</h3>
Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
- A 10-year term for female is 1.28,
- A 15 year term for female is 1.54,
- A 20 year term for female is 1.89,
- A whole life for female is 9.46.
For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,
Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
Learn more about the face value here;
brainly.com/question/25596583
Answer:
Her eye discourses; I will answer it.
I am too bold; ’tis not to me she speaks:
Two of the fairest stars in all the heaven,
Having some business, do entreat her eyes
To twinkle in their spheres till they return.
Step-by-step explanation:
Answer:
A postulate :)
Step-by-step explanation:
This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.
Hope this helps!
