What is the slope and the y intercept?
1 answer:
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Answer:
Step-by-step explanation:
Given the information
- 4 containers of 4 different colors
- 1/3 of each color left over
- She had planted more than 2 1/2 of the original 4 containers
=> Total color were left = 1/3 x 4 = 4/3 of the original containers
=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers
However, 8/3 = > 2
So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:
Hope it will find you well
Answer:
The interest rate is 7.58%
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
A = P, where
- A is the future value of the investment, including interest
- P is the principal investment amount (the initial amount)
- r is the interest rate in decimal
- t is the time the money is invested for
∵ Angus has $3,000 he want to invest
∴ P = 3000
∵ The interest rate is compounded continuously
∵ Angus has $5,500 in 8 years
∴ A = 5500
∴ t = 8
→ Substitute them in the rule above to find r
∵ 5500 = 3000
→ Divide both sides by 3000
∴ =
→ Insert ㏑ in both sides
∵ ㏑( ) = ㏑(
)
→ Remember ㏑() = n
∴ ㏑( ) = 8r
→ Divide both sides by 8
∴ 0.07576697545 = r
→ Multiply it by 100% to change it to a percentage
∴ r = 0.07576697545 × 100%
∴ r = 7.576697545 %
→ Round it to the nearest hundredth
∴ r ≅ 7.58
∴ The interest rate is 7.58%