Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
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:
(D)
Step-by-step explanation:
First, you have to graph the equation. Then you notice that it is a parabola facing downwards. This means that as the graph decreases on the left side, the x's become negative and the y's become negative. On the right side, the x's become positive and the y's become negative.
