Answer:
The current price of the unit trust = £13,831.72
Step-by-step explanation:
Since it increased 7% per annum in last three years and decreased by 3% per annum before that, it implies that the unit trust decreased by 3% per annum for the first 2 years and then increased by 7% per annum for the next 3 years in the total 5 year period
The invested after 2 years = 12,000*(1-0.03)^2 = £11,290.8
This amount then grows by 7% for the next 3 years making it = 11,290.80*(1+0.07)^3 = £13,831.7155 = £13,831.72 (Rounded to 2 decimals)
The current price of the unit trust = £13,831.72 (Rounded to 2 decimals)
We'll take 1.25 miles as one minute (x) and take 100 as total distance (D) while T is the time it took to reach that distance.
T = D/x
putting the values in
T = 100/1.25
T = 80
80 minutes is the answer.
Answer:
D.3.5
Step-by-step explanation:
4x+2y=10(given)
2x+y=5
y=5-2x-----(1)
y=2x-1------(2)(given)
Since the left side of the equations are the the same,
5-2x=2x-1
4x=6
x=1.5
Sub x=1.5 into eq(1),
y = 5-2(1.5) = 5-3 = 2
so, x+y = 1.5+2 = 3.5
93 in base 10 converted into base 4 would 1131
Answer:
Two non zero vectors, a and b are parallel when they are scalar multiples of each other such that a = c·b where c is a scalar quantity.
Therefore, in order to find a vector that is parallel to the vector, b = (-2, -1), we multiply the vector, b by a scaler quantity
Step-by-step explanation:
Given that the vector b = (-2, -1) can be written as follows;
b = -2·i - j, we have;
= √((-2)² + (-1)²) = √5
Therefore, we have;
The coordinates of the endpoint of the vector are (-2, 0) and (0, -1)
Therefore, the slope of the vector = (-1 - 0)/(0 - (-2)) = -1/2
The slope of parallel vectors are equal, which gives the slope of the parallel vector = -1/2 = (λ × (-1 - 0))/(λ ×(0 - (-2))
Therefore, a parallel vector is obtained from a vector by multiplying with a scaler product.