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yarga [219]
3 years ago
11

Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we

re 80 million cars in year 1 of her study, how many more cars were on the road in year 3 compared to year 2?
Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Let's first find the exponential function that models the situation in year one. The exponential standard form is

y=a(b)^x where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so

a = 80 (in millions)

If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1

The model for our situation is

y=80(1.1)^x where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.

When x = 2:

y=80(1.1)^2 and

y = 80(1.21) so

y = 96.8 million cars

When x = 3:

y=80(1.1)^3 and

y = 80(1.331) so

y = 106.48 million cars

The difference between years 3 and 2 is

106.48 - 96.8 = 9.68 million cars

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2 years ago
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
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Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

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in this problem we have

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The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

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