Answer: $7787.99
Step-by-step explanation:
We know that the formula to find the periodic payment on an annuity is given by :-
, where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.
Given : Present value : $36000
Rate of interest = 8%=0.08
Time period = 6 years
Then , the periodic payment will be :-
![P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B%280.08%29%2836000%29%7D%7B1-%281%2B0.08%29%5E%7B-6%7D%7D%5C%5C%5C%5C%5CRightarrow%5C%20P%3D%5Cdfrac%7B2880%7D%7B0.3698%7D%5C%5C%5C%5C%5CRightarrow%5C%20P%3D%5C%247787.99)
Hence, the payment size is $7787.99.
I see you accidentally pasted the expression 2(4x-3)+3x-1 twice, so
expand 2(4x-3) to get
2(4x)+2(-3)=8x-6
now we have
8x-6+3x-1
regrouping we get
8x+3x-6-1
adding like terms
11x-7
A is 11x-4, not 11x-7, wrong
B is wrong
C. hmm, 6x-6+5x-1=11x-7, yep
D is the same, we can see
C and D are correct
If the formula is V= Ab x H
then the base and height is 4 and 7.5 because it doesn’t need to be the bottom so you multiply 7.5 x 4= 30 but we have to half it since it’s a triangle which is 15 and then multiply 10 which gives us 150 cm squared.
Answer and explanation:
A. profit P as a function of x, the number of tickets sold
P(x)= total revenue - total cost
For 40000 tickets at $4
=40000×4-0.10×40000+$95000
=$160000-$99000
=$61000
For 35000 tickets at $5
= 35000×$5-0.10×35000+$95000
= $175000-$98500
= $76500
B. P has a downward slope like a demand curve. Increase in price equal to decrease in profit.
C. P(40000)= $4-$0.10+$95000/40000
= $4-$2.475
= $1.525
Price for 20000 tickets was not stated in question but feel free to use an arbitrary price(price should be higher than that for 35000 tickets and 40000 tickets)
Answer:
B. 8x - 3
C. 8x + 12
Step-by-step explanation:
64 is a perfect square, meaning it has two factors that are identical (8), and 36 is also a perfect square, but in this case, you don't see two 6's in the answer choices.
12 and -3 give you a product of -36, so your answer choices would be:
(8x - 3) (8x + 12)
If you're unsure, you can multiply them together to check if they come out to the unfactorized expression.