Let Ale’s money=a
Let Leo’s money=L
a=2L+3
You may have to rearrange any multiple choice answers algebraically, but they should all simplify down to the a= equation.
In problems like this, you can solve by thinking of how the word problem defines the variable. Ale is defined as twice Leo, plus three.
Answer:
<em>Cost paid daily when using the motorcycle: $37,</em>
<em>Cost paid for each kilometer driven in the motorcycle: $ 0.23 </em>
Step-by-step explanation:
<em>~ Let us first formulate the equations, provided x ⇒ cost paid daily when using the motorcycle, and y ⇒ cost paid for each kilometer driven in the motorcycle ~</em>
8x + 650y = 445.5, and 12x + 920y = 655.6
<em>Now let us solve this equation through elimination, by multiplying the first equation by 3, and the second by -2:</em>
3 ( 8x + 650y = 445.5 ) ⇒ 24x + 1950y = 1336.5 ⇒ 110y = 25.3
+ -2 ( 12x + 920y = 655.6 ) + -24x - 1840y = - 1311.2 <em>y = 0.23</em>
<em>Now we can substitute this value of y into the first equation as to solve for x: </em>8x + 650 ( 0.23 ) = 445.5, 8x = 296, <em>x = 37</em>
<em>* Cost paid daily when using the motorcycle: $37,</em>
<em>Cost paid for each kilometer driven in the motorcycle: $ 0.23 *</em>
Answer:
x= -3
y= 1
z= 4
Step-by-step explanation:
Please see the attached pictures for the full solution.
*I evaluated the determinants using Sarrus' rule (see last picture):
∆= aei +bfg +cdh -gec -hfa -idb
*The symbol '∆' (delta) is usually used to denote a determinant.
The decay factor for the annual rate of change of - 55 % is 0.45.
A quantity must vary by a specific percentage each time period in order for growth or decay to be exponential.
With the function displayed to the right, you may represent exponential growth or decay.
A(x) = a( 1 + r)ˣ
Where A is the amount after x time periods, a is the initial amount, x is the number of time periods, and r is the rate of change.
Now, we have the annual rate of change as:
r = - 55 % = - 55 / 100 = - 0.55
From the function A(x) = a( 1 + r)ˣ , the corresponding factor is 1 + r.
So, let B = 1 + r
B = 1 + r
B = 1 + (- 0.55)
B = 1 - 0.55
B = 0.45
Now, the value of B is less than 1 therefore, the corresponding decay factor is 0.45.
Learn more about growth and decay factor here:
brainly.com/question/16702201
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