Point D is located on the segment CE. If CD = 24 and DE = x and CE = 5x, what is the measurement of segment CE
1 answer:
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Answer:
See explanation
Step-by-step explanation:
A dog owner records the weight of her dog. She finds that from the age of 20 weeks to the age of 48 weeks, the dog’s weight can be modelled by the equation
where
w = weight
t = number of week from 20 weeks to 48 weeks
If we want to extend this model to the dog's weight at birth, then find the dog's weigth when it was born.
At t = 0,
We get the dog's weight -0.15 kilograms at the day the dog was born. But this is impossible, because the dog's weight cannot be negative.
Answer:
He invested $8500 with rate 3 1/5%
He invested $3000 with rate 3%
Step-by-step explanation:
* <em>Lets revise the rule of the simple interest</em>
- Simple interest I = PRT, where P in the money invested, R is the
interest rate and T is the time of investment
- Phyllis invested $11,500
- A portion earning a simple interest rate of 3 1/5% (3.2%) per year
- The rest earning a rate of 3% per year
- After one year the total interest earned on these investments
was $362.00
- We need to find the amount of money invested in each rate
* Assume that he invested $x with rate 3 1/5% and $y with rate 3%
∵ He invested $11,500 in both rates
∴ x + y = 11,500 ⇒ (1)
∵ He invested $x with 3 1/5%
∵ P = $x
∵ R = 3.2/100 = 0.032
∵ T = 1
∴
∴
∵ He invested $y with 3%
∵ P = $y
∵ R = 3/100 = 0.03
∵ T = 1
∴
∴
∵ The total interest was $362.00
- The total interest = +
∴ 0.032x + 0.03y = 362.00 ⇒ (2)
<em>We have system of equations</em>
x + y = 11,500 ⇒ (1)
0.032x + 0.03y = 362.00 ⇒ (2)
Multiply equation (1) by -0.03 to eliminate y
-0.03x - 0.03y = 345 ⇒ (3)
Add equations (2) and (3)
0.002x = 17
Divide both sides by 0.002
x = 8500
Substitute the value of x in equation (1)
8500 + y = 11,500
Subtract 8500 from both sides
y = 3000
* He invested $8500 with rate 3 1/5%
* He invested $3000 with rate 3%