C!
parallel line: m1 x m2 = -1
-3 x 1/3 = -1
100 = x^2 + y^2
So
2 x dx/dt + 2y dy/dt =0
So
dy/dt = -x/y dx/dt
= -x/sqrt(100-x^2) * 7 At x=3
Answer:
The value of Liam's investment at the end of 4 years is £9069.764
Step-by-step explanation:
Compound interest is interest calculated on the initial principal, which also includes all of the accumulated interest of previous periods of an investment.
We multiply the principal amount by one plus the annual interest rate to the power of the number of compound periods to get a combined figure for principal and compound interest.
4.5% in the first year;
4.5/100 = 0.045
(1 + 0.045) × 8000 =
1.045 × 8000 = £8360.
2.75% for all subsequent year;
2.75/100 = 0.0275
1 + 0.0275=1.0275
Number of years is;
4-1=3years
Therefore,
8360 × (1.0275)^3 =
8360 × 1.0849 = £9069.764
Answer:
B. 29º
Step-by-step explanation:
Given that BCDE is a parallelogram, then and A, E and D are collinear. Then, angle E inside triangle ABE and angle D inside parallelogram BCDE have the same measure. That is:
(1)
In addition, the sum of internal angles in triangles equals 180º, which implies that:
(2)
If we know that and , then is:
Hence, correct answer is B.
Answer:
c=3
Step-by-step explanation:
Angle sum of a triangle is 180°
(19c+16)°+13c°+(17c+17)°=180°
collect the like terms i.e
19c+13c+17c+16+17=180°
49c°+33°=180°
49c°=180°-33°
49c°=147
dividing by 49 both sides
49c/49=147/49
c=3