Step-by-step explanation:
the graph A is represents the ordered pairs.
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%
Answer:
I suppose the answer would be 120
Step-by-step explanation:
Well if 90 is 75% then 50% should be 60 and 25% should be 30.
so its going up and down by 30, so that would make 100% 120
please give brainliest
For quarters we have:

Where,
x: number of quarters
Clearing x we have:

For nickels we have:

Where,
y: number of nickels
Clearing y we have:

Then, the ratio of quarters to nickels is:

Simplifying we have:

Answer:
The ratio of quarters to nickels in a dollar is:

Answer:
points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set