Eva is 29 years old and has 2 children, ages 3 and 5. She makes $48,500 a year. Eva decides to buy a $400,000 10-year term polic
y and then renew the policy for another ten years afterwards. To renew the policy the insurance company charges an extra 40% to her premium rate. Given the options below, assess whether Eva made a wise decision.
a.Eva would have been better off selecting the 20-year term policy.
b.Even with the extra charge for renewal, Eva’s plan is the least expensive.
c.Given that Eva plans to renew, she should have selected the whole life policy.
d.Eva ends up paying the same amount for each policy.
a.Eva would have been better off selecting the 20-year term policy.
b.Even with the extra charge for renewal, Eva’s plan is the least expensive.
c.Given that Eva plans to renew, she should have selected the whole life policy.
d.Eva ends up paying the same amount for each policy.
2 answers:
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Answer:
The viscosity at 140°C is predicted to be 7.2
Step-by-step explanation:
The function that model the relationship between viscosity and temperature = Quadratic model
The general form of a quadratic equation is y = a·x² + b·x + c
Therefore, we have;
When y = 10.8, x = 110, which gives;
10.8 = a·110² + b·110 + c = 12100·a + 110·b + c
10.8 = 12100·a + 110·b + c
When y =8.2, x = 130
8.2 = a· 130² + b· 130 + c = 16900·a + 130·b + c
8.2 = 16900·a + 130·b + c
When y = 160, x = 5.8
5.8 = a·160² + b·160 + c = 25600·a + 160·b + c
5.8 = 25600·a + 160·b + c
The three equations above can be listed as follows;
10.8 = 12100·a + 110·b + c
8.2 = 16900·a + 130·b + c
5.8 = 25600·a + 160·b + c
Solving using matrices gives;
From which we have;
a = 0.001, b = -0.37, c = 39.4
Substituting gives;
y = 0.001·x² - 0.37·x + 39.4
When x = 140
y = 0.962·140² - 0.37·140 + 39.4= 7.2
The viscosity at 140°C = 7.2.
ANSWER
B. The functions f(x) and g(x) because f(g(x))=g(f(x))=x
EXPLANATION
The given functions are:
and
If f(x) and g(x) are inverses, then
f(g(x))=x
Expand the parenthesis to obtain,
Also,
Hence f(x) and g(x) are inverses