Answer:
Hence, the two numbers chosen or plotted by them are:
-75 and 75
Step-by-step explanation:
It is given that Bernita and Derek each plot a number on a number line with the properties:
- The two numbers they have plotted are unique or different.
- Also there absolute value is same.
- The sum of the absolute values of the numbers is 150.
<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>
Hence, the two numbers that satisfy the above three properties are:
-75 and 75.
Since,
|-75|=75
and |75|=75.
Hence, |-75|=|75|
Also |-75|+|75|=75+75=150
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
The rule of 72 is an approximate estimate of the time it takes to double an investment, and depends only on the interest rate. So amount of deposit does not change the estimate. All three accounts will take the same time to double.
If the accounts are all deposited on the same day with the same interest rate and same compounding period, they all double at the same time, whether using the rule of 72 or the actual time.
