6.5%=.065
.065/12=0.00541666666666666666666666666667/month
3 years = 36 months
(1+0.00541666666666666666666666666667)^36=1.2146716269797335689295444127607
1.2146716269797335689295444127607 x 12500=$15183.40 in the account after 3 years
15183.40-12500=$2683.40 in interest earned
☺☺☺☺
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
If 3 represents women, then we divide 15 by 3 to get 5. once we have 5, we must then multiply 2 and 5. once that is done we have 10. So the number of men in the dance recital is 10.
Hope this answer helps! feel free to ask any additional questions :)
A) The peak of the curve has coordinates (3, 45). Thus the maximum is 45 hundred dollars. It occurs when 3 hundred dollars are spent on advertisiing.
The maximum possible monthly profit of the shop is about $4500.
b) The x interval over which P(x) is greater than zero appears to be 0 to 10 hundred dollars. What is not clear from the question is whether the expected answer is (0, 10) or (0, 1000).
c) The maximum profit is earned when $300 is spent on advertising.
