Answer:
0.0335mm to 0.0345mm
Step-by-step explanation:
Answer: D
Step-by-step explanation:

Answer:
F; A translation of 6 up and 4 left and a reflection across the x-axis
Step-by-step explanation:
Here, we want to perform the translation that would move S to S’
to do this, we can have a subtraction
For 1 to move to -3 on the x-axis;
it means there is a leftward shift of upto 4 units
For -8 to turn to 2;
this is positive; there is a vertical upward translation of upto 10 units on the y-axis
This option is not directly available; thus we have to factor the reflection
if we reflect on the x-axis, the y-axis value becomes negated; if we reflect on the y-axis, the x-value becomes negated
The correct answer is thus;
A translation of 6 up and 4 left, followed by a reflection across the x-axis
Answer:
180
Step-by-step explanation:
112+64
=112+64
=176
Answer:
The initial amount of investment was $7,822
Step-by-step explanation:
The formula for compound interest, including principal sum is:
, where
- <em>A</em> is the future value of the investment/loan, including interest
- <em>P</em> is the principal investment amount
- <em>r</em> is the annual interest rate (decimal)
- <em>n</em> is the number of times that interest is compounded per unit t
- <em>t</em> is the time the money is invested or borrowed for
Let us use this rule to solve the question
∵ Sam invests a sum of money in a retirement account with a fixed
annual interest rate of 7% compounded quarterly
∴ <em>r </em>= 7% =
= 0.07
∴ <em>n</em> = 4 ⇒ compounded quarterly
∵ After 13 years, the balance reaches $19,280.02
∴ <em>A</em> = 19,280.02
∴ <em>t </em>= 13
Substitute these values in the rule above to find <em>P</em>
∵ 
∴ 
→ Divide both sides by 
∴ 7,821.99888 = <em>P</em>
→ Round it to the nearest dollar
∴ 7,822 = <em>P</em>
∴ <em>P</em> = $7,822
∴ The initial amount of investment was $7,822.