vanessa invested $2,500 into an account that will increase in value by 3.5% each year. Write an exponential function to model th
1 answer:
Answer: (i) A = 2500 (
(ii) A =$ 4,974.47
Step-by-step explanation:'
The exponential function is given as :
A = P
Where :
A = amount
P = principal
r = rate %
n = number of years
substituting , the exponential function to model the situation becomes
A = 2500 (
(ii) when n = 20 , the Amount becomes
A = 2500(
A =$ 4,974.47
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Answer:
The blimp can carry 70 passengers
Step-by-step explanation:
Lets use the ratio method to solve this problem
∵ 1 cubic meter of helium can lift about 1.1 kg
∵ A blimp can carry as much as 2 x m³ of helium
By using the ratio method
→ m³ : kg
→ 1 : 1.1
→ 2 x : x
By using cross multiplication
∴ x × 1 = 1.1 × 2 x
∴ x = 2.2 x
∵ x represents the mass that can carried by the helium
∴ 2 x m³ of helium can lift 2.2 x
kg
∵ The mass of the blimp is 2.13 x kg
- Subtract the mass of the blimp from the mass that the given
amount of helium can lift to find the mass of the passengers
∴ The mass of the passengers = 2.2 x - 2.13 x
- Subtract 2.13 from 2.2 ⇒ 2.2 - 2.13 = 0.07
∴ The mass of the passengers = 0.07 x
∵ The average mass of a person with luggage is 10² kg
- Divide the mass of the passengers by the mass of the person
to find the number of the passengers
∴ The number of passengers = 0.07 x ÷ 10²
- Subtract the exponents of 10 to find the answer
∵ ÷ 10² =
= 10³
∴ The number of passengers = 0.07 x 10³
∴ The number of passengers = 0.07 × 1000
∴ The number of passengers = 70
The blimp can carry 70 passengers