Question

) A bowl collects 1.67 cm height of water in its first week in a dewdrop. Each week the height of the water increases by 4% more than it did the week before. By how much does it increase in nine weeks, including the first week?

Answer 1

Finding total increase of water

Given: A bowl collects 1.67 cm height of water in its first week in a dewdrop. Each week the height of the water increases by 4% more than it did the week before.

To find: By how much does it increase in nine weeks, including the first week?

Solution:

• 1. Height in first week = 1.67 cm

• 2. Height in second week = 1.67 + 4% rise
• = 1.67 + 1.67 × 4/100 cm
• = 1.73 cm

• 3. Height in third week = 1.73 + 4% rise
• = 1.73 + 1.73 × 4/100 cm
• = 1.79 cm

• 4. Height in fourth week = 1.79 + 4% rise
• = 1.79 + 1.79 × 4/100 cm
• = 1.86 cm

• 5. Height in fifth week = 1.86 + 4% rise
• = 1.86 + 1.86 × 4/100 cm
• = 1.93 cm

• 6. Height in sixth week = 1.93 + 4% rise
• = 1.93 + 1.93 × 4/100 cm
• = 2.00 cm

• 7. Height in seventh week = 2.00 + 4% rise
• = 2.00 + 2.00 × 4/100 cm
• = 2.08 cm

• 8. Height in eighth week = 2.08 + 4% rise
• = 2.08 + 2.08 × 4/100
• = 2.16 cm

• 9. Height in ninth week = 2.16 + 4% rise
• = 2.16 + 2.08 × 4/100 cm
• = 2.24 cm

Thus total increase of water is

= 1.67 + 1.73 + 1.79 + 1.86 + 1.93 + 2.00 + 2.08 + 2.16 + 2.24 cm

= 17.46 cm

Answer: It increases by 17.46 cm in nine weeks, including the first week.

Using Geometric Progression, the problem is solved here by Amit sir:

- https://brainly.in/question/20000577