Answer:
D -24/25
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
cos(x) = ⅘
sin²(x) = 1 - cos²(x) = 1 - (⅘)²
sin²(x) = 9/25
sin(x) = -⅗
(Because 4th quadrant)
sin(2x) = 2(-⅗)(⅘)
= -24/25
Answer:
B, C, E
Step-by-step explanation:
Answer choice A):
$300 × = $75
* This answer choice represents the calculation of discount only and not the final selling price of the bicycle.
Answer choice B):
$300 × = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
Answer choice C)
$300 × (1 - ) = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
Answer choice D):
$300 - 1/4
*This answer choice shows an incorrect equation which neither represents the calculation of the discount nor the final selling price of the bicycle.
Answer choice E):
$300 - × $300
Applying the rule of PEMDAS,
We start with division; 1 ÷ 4 = 0.25
Then we go to multiplication; 0.25 × $300 = $75
Finally we do the subtraction; $300 - $75 = $225
* This answer choice represents the calculation of the final selling price of the bicycle.
From the given f(x) and g(x), the value of (g-f)(2)=1
Given :
The functions are

Lets evaluate (g-f)(2)

To find out g(2), replace 2 for x in g(x) and then replace 2 for x in f(x)

Now we find g(2)-f(2)

Learn more : brainly.com/question/15038769
Part A)
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\ \left. \qquad \qquad \right.(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%5C%5C%0A%5Cleft.%20%5Cqquad%20%5Cqquad%20%5Cright.%28%5Ctextit%7Bpayments%20at%20the%20end%20of%20the%20period%7D%29%0A%5C%5C%5C%5C%0AA%3Dpymnt%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7Br%7D%7Bn%7D%20%5Cright%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%20%5Cright%5D)

![\bf A=1200\left[ \cfrac{\left( 1+\frac{0.05}{1} \right)^{1\cdot 12}-1}{\frac{0.05}{1}} \right]\implies A\approx 19100.55](https://tex.z-dn.net/?f=%5Cbf%20A%3D1200%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7B0.05%7D%7B1%7D%20%5Cright%29%5E%7B1%5Ccdot%20%2012%7D-1%7D%7B%5Cfrac%7B0.05%7D%7B1%7D%7D%20%5Cright%5D%5Cimplies%20A%5Capprox%2019100.55)
part B)
so, for the next 11 years, she didn't make any deposits on it and simple let it sit and collect interest, compounded annually at 5%.

part C)
well, for 12 years she deposited 1200 bucks, that means 12 * 1200, or 14,400.
now, here she is, 12+11, or 23 years later, and she's got 32,668.42 bucks?
all that came out of her pocket was 14,400, so 32,668.42 - 14,400, is how much she earned in interest.