Answer:
the value of the investment after 3 years= £11,904
Step-by-step explanation:
sarah invests £9600 at a simple interest rate of 8% per year
number of years = 3
Formula for simple interest
I = P*n* r
P is the initial amount invested= 9600
r is the rate of interest = 8% = 0.08
n = number of years = 3
Now we find interest using formula
I = 9600 * 0.08 * 3= 2304
Interest amount is 2,304
Now we add the interest with the initial amount to get the value of investment after 3 years
9600 + 2304= 11904
The answer to your question is D.
Answer:
(0,0) is among the solutions
Step-by-step explanation:
The given inequality is 
A solution to this inequality is any ordered pair that satisfies the inequality.
Let us check for x=0 and y=0
We substitute to get:

....This is true.
Therefore (0,0) is a solution to the given inequality.
There are infinitely many solutions.
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
Answer:
y-5=-3(x-17)
y-5=-3x+51
y=-3x+46
compare with equation
y=mx+c
slope = -3
Step-by-step explanation: