Answer:
- False
- False
- True
Step-by-step explanation:
Since the given expression represents the account balance, the initial amount (when x=0) is $500 in Account A, and $100 in Account B. (Less money was invested in account B.)
The growth rate of each account is $1.03 per year.* (The growth rate ($/year) is identical for each account.)
The total of the initial amounts invested is $500 +100 = $600.
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<em>* Comment on growth rate</em>
Since the account balance is shown as <em>greater than</em> or equal to the given expression, there appears to be the possibility that adjustments are made to the account balance by some means other than the growth predicted by this inequality. For example, if the balance in Account A is $900 at the end of 1 year, the inequality will still be true, but the extra $398.97 will be in addition to the $1.03 growth predicted by this expression.
This means <em>we really cannot say what the growth rates of the accounts might be</em>, except that it is a minimum of $1.03 per year in each account.
_____
<em>Comment on the expressions</em>
More usually, we would expect to see an account balance have the equation a = 400·1.03^x. That is, the interest rate would be 3% and it would be compounded annually. The expression 400 + 1.03x is very unusual in this situation.
B) Nosotros
We= in (Castellano) Spanish
Answer:
The time is 135 min.
Step-by-step explanation:
For this situation we are going to use Newton's Law of Cooling.
Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium and is given by
where,
C = surrounding temp
= temp at any given time
t = time
= initial temp of the heated object
k = constant
From the information given we know that:
- Initial temp of the cake is 310 °F.
- The surrounding temp is 72 °F.
- After 30 minutes the cake's temperature is 220 °F.
We want to find the time, in minutes, since the cake's removal from the oven, at which its temperature will be 100°F.
To do this, first, we need to find the value of k.
Using the information given,
Next, we find the time at which the cake's temperature will be 100°F.
Answer:
$149
Step-by-step explanation:
He spent 55 on sneakers at first, then he recieved 30 more, and gave 20 to the mom, which i added to the equation, and what he has left i also added.
Answer:
4x-7
Step-by-step explanation:
