Answer:

Step-by-step explanation:
For each right-angled triangle:

Because 
we have an equation

multiplying both sides by x, we get 
dividing both sides by 0.4 and 
using calculator, we divide 12 by 0.4
and finally x=30
Answer:
£6655
Step-by-step explanation:
Given data
Principal= £5000
Rate= 10%
Time = 3 years
FInal Amount A=???
The expression for the compound interest is given as
A=P(1+r)^t
substitute
A=5000(1+0.1)^3
A=5000(1.1)^3
A=5000*1.331
A= £6655
Hence the final Amount is £6655
What is the question here.
(1/2)(X+Y)-(1/3)
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
![a_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=a_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Compute the value of f (11) as follows:
![f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]](https://tex.z-dn.net/?f=f%2811%29%3D%5Cfrac%7B11%7D%7B2%7D%5B%282%5Ctimes260%29%2B%2811-1%29%5Ctimes%20100%5D)
![=5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360](https://tex.z-dn.net/?f=%3D5.5%5Ctimes%5B520%2B1000%5D%5C%5C%5C%5C%3D5.5%5Ctimes%201520%5C%5C%5C%5C%3D8360)
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
Answer:
Here we can see they are vertically opposite angles so x = 35°