Answer:
z = 6
Step-by-step explanation:
Answer:
c on edg
Step-by-step explanation:
did same question
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:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95