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The inequality ∣60∣≤∣−60∣ holds true. This is because the absolute value of both 60 and -60 is equal to 60.
The expression ∣60∣≤∣−60∣ can be evaluated by calculating the absolute values on both sides. The absolute value of 60 is 60, and the absolute value of -60 is also 60. So, ∣60∣=∣−60∣=60.
Since 60 is equal to 60, the inequality ∣60∣≤∣−60∣ is true. This inequality states that the absolute value of 60 is less than or equal to the absolute value of -60. In this case, since both absolute values are equal, the statement is true. The absolute value function essentially removes the negative sign from a negative number, making it positive, and in this case, the absolute values of 60 and -60 are indeed the same, resulting in a true inequality.
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Answer:
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Step-by-step explanation:
mod means positive...that's why both are equal 60=60
percent means out of 100
35/100
divide the top and bottom by 5
7/20
The balance in Yolanda's saving plan after 14 years was $
Answer:
Yolanda will have a balance of $34,043.10 in 14 years.
Step-by-step explanation:
This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.
To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA =
PMT= recurring payment = $300
r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.
t = total duration ; 14 *12 = 168 months
Next, plug in the numbers into the FVA formula;
FVA =
FVA = 60,000 * 0.5673849
FVA = 34,043.0969
Therefore, Yolanda will have a balance of $34,043.10 in 14 years