4) What is the correct unit for the following measurement?
1 answer:
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Answer:
Tina would save the same amount using either option after 20 months.
With either option, Tina would save $700.
Step-by-step explanation:
This problem can be modeled by a first order equation:
Where Tina's saved money after n months is:
S(n) = S(0) + rn, where S(0) is the money put away initially and r is how much she saves every month.
The first option is to put $500 away initially and save $10 every month, so:
The second option is to put $100 away initially and save $30 every month, so:
After how many months would Tina save the same amount using either option?
It will happen at the month n in which , so:
500 + 10n = 100 + 30n
500 - 100 = 30 - 10n
400 = 20n
20n = 400
n = 20.
Tina would save the same amount using either option after 20 months.
How much would she save with either option?
We can choose or
, since they are equal
With either option, Tina would save $700.
Answer:
b = -3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6b+14=−7−b
6b+14=−7+−b
6b+14=−b−7
Step 2: Add b to both sides.
6b+14+b=−b−7+b
7b+14=−7
Step 3: Subtract 14 from both sides.
7b+14−14=−7−14
7b=−21
Step 4: Divide both sides by 7.
b= -3