Answer:
15 Years or 14.5 Years
Step-by-step explanation:
According to the Question,
- Given That, Cora invests $1000 at Rate of 5% Per Annum. Interest is compounded semi-annually, After What time her money to get double.
- We Know, the formula A=P(1+r/n)^(nt) (where r=0.05 , p=1000 , A=2000 , n=2)
Put the Given value in Formula, We get
2000 = 1000 (1 + 0.05/2) ^ 2t
2 = (1+0.025)^2t
2 = (1.025)^2t ⇔ 1.025^30 = 2.0975 ≈ 2
Thus, 2t = 30 ⇒ t = 15 Years
OR
2 = (1.025)^2t ⇔ 1.025^29 = 2.0464 ≈ 2
Thus, 2t = 29 ⇒ t = 14.5 Years
Answer is 184.8
I would explain but i’m too lazy to type it all but basically i found the area of each of the triangles and the square added it up to get 184.8
Answer:
x=6,-4
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.
x=6,-4
Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
Answer:
Exact Form: -147/100
Decimal Form: -1.47
Mixed Number Form -1 47/100
Hope this helps!