We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.
We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.
We will use exponential growth function to solve our given problem.
An exponential growth function is in form 
, where
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
x = Time.
We can see that initial value is $160. Upon substituting our given values in above formula, we will get:
To find amount of money in Clare's account after 30 years, we need to substitute 
in our equation.
Therefore, the expression 
represents the amount of money that Clare would have after 30 years.
Answer:
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It would actually be 62.5
Answer: 5(√3-1) unit.
Step-by-step explanation:
Since, By the below diagram,
For triangle BDC,
We can write,
⇒ 
⇒ 
⇒ 
⇒ 
Now, In triangle ADC,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Okay, so this is just a basic multiplication problem. first, we need to divide to figure out how much the trout population grows after 1 year. If it doubles in 4 years, then it will rise by a quarter each single year. So to put that in terms of fractions, then for every year, the equation would be 250x1/4. So then we do the equation, coming up with 62.5. This means that the population rises roughly 63 fish a year. So after 1 year, you will have roughly 313 fish. (312.5 to be exact). Then to get that by ten years, we can just multiply the number that we got for one year by ten. 62.5x10=625. So then we add the 250 original trout, and 250+625=875. So after 10 years, there will be 875 trout.
