Answer:
0.98
Step-by-step explanation:
Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
9514 1404 393
Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Answer:
B. 75
Step-by-step explanation:
1.5% of 5000 is 75
Answer:
51,800 rupees
Step-by-step explanation:
Cost of 5 grams of gold on 1 May 2012 = 14 000 rupees.
The cost of gold decreased by 7.5% from 1 May 2012 to 1 May 2013
Cost of 5 grams of gold on 1 May 2013 = 14,000 - 7.5% of 14,000
= 14,000 - 0.075 × 14,000
= 14,000 - 1,050
= 12,950 rupees
Work out the cost of 20 grams of gold on 1 May 2013
Since, there are four 5 grams of gold in 20 grams of gold
Therefore,
Cost of 20 grams of gold on 1 May 2013 = 12,950 rupees × 4
= 51,800 rupees
Answer: TRUE
Step-by-step explanation:
