Answer:
Step 3
Step-by-step explanation:
The solution is given in the image attached. The steps are:
Step 1:
Step 2: simplifying the coefficients of x:
Step 3: Adding 1/4 to both sides
Step 4: Multiplying both sides by 5/7
The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3
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Finance charge
(5,834.53−150)×(0.204÷12)=96.64
New balance
5,834.53−150+96.64+325
=6,106.17
The answer is c: y = 10.29(0.7)^x.
- It is important to note that:
A nickel = $0.05
A dime = $0.10
We would be representing,
The number of nickels = n
The number of dimes = d
- Kendra has $3.15 in dimes and nickels. Writing this statement as an algebraic expression:
0.05n + 0.10d = 3.15...............Equation 1
- She has 4 times as many dimes as nickels. The algebraic expression for this statement :
4n = d ........................................ Equation 2
We would substitute 4n for d in Equation 1
0.05n + 0.10 x 4n = 3.15...............Equation 3
0.05n + 0.4n = 3.15
0.45n = 3.15
Divide both sides by 0.45
0.45n/0.45 = 3.15/0.45
n = 7
The number of nickels is 7
We solve for d, the number of dimes
4n = d
n = 7
4 x 7 = d
28 = d
The number of dimes is 28
Therefore, Kendra has 7 nickels and 28 dimes
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