Answer:
her salary after 8 years is $26,602
Step-by-step explanation:
Given that
Fiona salary is $21,000
She received 3% raise each year
We need to find her salary after 8 years
So, here we apply the future value formula
i.e.
= Present value × (1 + rate of interest)^number of years
= $21,000 × (1 + 0.03)^8
= $21,000 × 1.03^8
= $26,602
hence, her salary after 8 years is $26,602
Answer:
The angle between the two lines is 72.35° ⇒ to the nearest hundredth
Step-by-step explanation:
- The angle between the two lines is the difference between their angles with the positive part of the x-axis (Ф = Ф
- Ф
)
- The slope of the line equal to the tangent of the angle between the line and the positive part of the x-axis (m = tan Ф)
- The slope of the line whose equation is ax + by = c is m =
∵ The equation of the first line is 4x - 5y = 11
∴ a = 4 and b = -5
→ By using the 3rd rule of the slope above
∵ m
=
= ![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
∴ m
= 0.8
→ By using the 2nd rule above
∵ tan Ф
= 0.8
∴ Ф
=
(0.8)
∴ Ф
= 38.66° ⇒ to the nearest hundredth
∵ The equation of the first line is 2x + 3y = 7
∴ a = 2 and b = 3
→ By using the 3rd rule of the slope above
∵ m
=
∴ m
= ![-\frac{2}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D)
→ By using the 2nd rule above
∵ tan Ф
= ![-\frac{2}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B3%7D)
∴ Ф
=
(
)
∴ Ф
= -33.69° ⇒ to the nearest hundredth
→ By using the 1st rule above
∵ Ф = -33.69 - 38.66
∴ Ф = -72.35°
→ Ignore the negative sign
∴ The angle between the two lines is 72.35° ⇒ to the nearest hundredth
<u><em>V.I.N:</em></u>
<em>You can use this rule to find the angle between 2 lines</em> tan Ф = I
I
Answer:
C
Step-by-step explanation:
The width is 5 yds longer so we can mark out b and d if you multiply 19 and 24 is 456 so you are left with C
Answer: increasing
and asymptote
Step-by-step explanation: