Answer: A) f(x) = (x-5)-8
Explanation:
To shift 5 units to the right, we replace x with x-5. This moves the xy axis 5 units to the left to give the illusion the function curve moves 5 units to the right. The -8 at the end shifts the curve down 8 units.
The total balance in Raul's account after 40 years when he retires is $65,714.90.
<h3>What is the total balance?</h3>
The formula that can be used to determine the balance of the accout is: monthly amount saved x annuity factor.
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate = 1.5/12
- n = number of periods = 12 x 40 = 480
$100 x [(1.00125^480) - 1 ] / 0.00125 = $65,714.90
Here is the complete question:
Raul is a saver. He sets aside $100 per month during his career of 40 years to prepare for retirement. He does not like the idea of investing because he prefers to minimize his risk as much as possible, so he puts his money in a savings account which earns 1.5% interest per year. What is the balance in the account after 40 years?
To learn more about annuites, please check: brainly.com/question/24108530
The blank space to form a linear pair with m∠BPD is m∠APD.
<h3>What are linear pair angles?</h3>
Linear pair of angles are formed when two lines intersect each other at a single point.
Linear pair angles are adjacent to each other.
Therefore, the sum of a linear pair angles is equals to 180 degrees.
This means linear pair angles are supplementary.
Hence,
m∠APD + m∠BPD = 180°
learn more on linear pair angles here: brainly.com/question/26555759
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Answer:
160 kg and 8 metric tons
Step-by-step explanation:
66 2/3%=2/3
(2/3)240 = 160 kg
(2/3)12 metric tons = 8 metric tons
5y+2=-8
-2 -2
5y=-10
5. 5
y=-2
