Answer:
At 25 = 6.8612mm
At 50 years = 5.422mm
Step-by-step explanation:
Equation,
d = 2.115Logₑa + 13.669
d = diameter of the pupil
a = number of years
Note : Logₑa = In a (check logarithmic rule)
d = 2.115Ina + 13.669
1. At 25 years,
d = -2.115In25 + 13.669
d = -2.115 × 3.2188 + 13.669
d = -6.807762 + 13.669
d = 6.8612mm
At 25 years, the pupil shrinks by 6.86mm
2. At 50 years,
d = -2.1158In50 + 13.669
d = -2.1158 * 3.912 + 13.669
d = -8.2770 + 13.699
d = 5.422mm
At 50 years, the pupil shirks by 5.422mm
To save this question, I had to plug in the values into the equation.
Solving for Logₑa might be difficult, so instead I used Inx which is the same thing. Afterwards, i substituted in the values and solve the equation for each years.
1. The value of (cd)(x) is equal to the product of c(x) and d(x) which is equal to,
5(x + 3) / (x - 2)
The function can take all real numbers except 2 because that would make the denominator 0.
2. To answer, substitute first 5 to the given functions,
f(x) = 7 + 4x = 7 + 4(5) = 27
g(x) = 1/2x = 1 / (2)(5) = 1/10
Dividing 27 by 1/10 is 270.
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
- t is the time in years for which the money is invested or borrowed.
In this problem:
- The APR is of 2.25%, hence
.
- No information about the number of compounding per year, hence
.
Item a:
, hence:



Item b:
, hence:







Item c:
, hence:




A similar problem is given at brainly.com/question/24850750
Answer:
1 pound of apples costs $1.50; Use that to solve the other problems.
a. 1.50 * 3 = $4.50
b. 6 / 4 = $1.50
c. $1.50 * 40 = 60lbs
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