12. The square and rectangle shown below have the same perimeter length Show that the length of the rectangle (3x + 1) centimetr
es
1 answer:
You might be interested in
9514 1404 393
Answer:
- car value: $4,953.84
- population: 446
- maybe not
Step-by-step explanation:
All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.
The general form of the value after t years is ...
(initial value)×(1 +annual growth rate)^(years)
The growth rate is positive for an increase, negative for a decrease.
a) Initial value: 22385; growth rate: -0.14; years: 10
value after 10 years: $22385×(1-0.14)^10 = $4953.84
__
b) initial value: 290; growth rate: 0.09; years: 5
population after 5 years: 290(1+.09)^5 = 446
__
c) initial value: $4000; growth rate: -0.10; years: 8
value after 8 years: $4000(1 -0.10)^8 = $1721.86
Selling the car for $1500 is selling it for <em>less than its estimated value</em>. That may not be a good decision.
_____
<em>Additional comment</em>
The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.
Y = total amount of money spent
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.
x = cost of one drink
So our expression is:
4x + 12.75
4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.
The problem also asks us to find the total price, so we write an equation:
We insert what x is which in this case is $3
Order of Operations tells us to multiply first:
Now add your values:
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.
Let's check our problem just in case:
Since we now know what y is equal to, we can plug that into our original equation and check just to verify
We should subtract 12. on both sides of the equation because of inverse operations:
We are left with:
We divide:
Our result is:
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.