Y = kx The constant of variation in this equation is???? y = 4x
2 answers:
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Since you don't have any angle and its opposite side, you cannot establish the ratio for the law of sines, so you must use the law of cosines.
Let's change it for this problem.
Let's change it for this problem.
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%
If is a zero of
, then we can write
for another polynomial .
Note that . Then
so that is a root of
.