Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Answer:
A: C=45h+30
B: C=$322.50
Step-by-step explanation:
A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.
B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:
<u>C=45h+30</u>
<u>C=45(6.5)+30</u>
Im using a decimal because it should be clear 1/2=0.5
<u>C= 292.5+30</u>
45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30
This results in the answer of:
<u>C=$322.50</u>
Starting with x=1, subtract 1 from each side,
(x-1)=0
Our polynomial will have multiplicity of 2 for this particular zero,
(x-1)(x-1)
and do similar with the x=-4, add 4 to each side,
(x+4)=0
So our final result is: (x-1)(x-1)(x+4)
Expand out the brackets if you need this in standard form.
Answer: (C) 4
<u>Step-by-step explanation:</u>
The corresponding sides of a 30°-60°-90° triangle are: b - b√3 - 2b
The side corresponding to 90° is 8 = 2b --> b = 4
The side corresponding to 30° is y = b <em>as stated above, b = 4</em>, so y = 4
98.75
Just do 0.25 (25%) times 395
its the same as doing 395 divided by 25
