Answer:
Step-by-step explanation:
Each term is 4 more than the preceding term.
Common difference d = 4
nth term = a₁ + (n-1)d = -6 + (n-1)4
a₁₀ = -6 + 9⋅4 = 30
Answer: m = 7 / 5 = 1.4
Step-by-step explanation:
Answer:
a) The arithmetic sequence with common difference 2 that has 8 as the first term.
b) The arithmetic sequence of common difference -5 and first term 15.
Step-by-step explanation:
Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:
8, and (8+2) = 10 Therefore the second term is 10.
Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:
15, and (15 - 5) = 10. Therefore again a 10 as second term.
C is the answer you are looking for
Answer:
It will take 4 years
Step-by-step explanation:
The formula of the simple interest is <em>I = Prt</em>, where
- <em>P</em> is the investment
- <em>r</em> is the annual rate in decimal
∵ The investment is $40000
∴ <em>P</em> = 40000
∵ The simple interest is $8000
∴ <em>I </em>= 8000
∵ The rate of interest is 5%
∴ r = 5%
→ Change it to decimal by divide it by 100
∴ <em>r</em> = 5 ÷ 100 = 0.05
→ Substitute them in the formula above
∵ 8000 = 40000 × 0.05 × t
∴ 8000 = 2000t
→ Divide both sides by 2000
∴ 4 = t
∵ t is the time of investment
∴ It will take 4 years
