Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer and Step-by-step explanation:
First work out the area of the semi circle so, To do this we find the area a circle and half it.
<em><u>We know that:</u></em>
→ The radius of the semi circle is 4.
→ To find the area of a circle is it radius² x π
→ Therefore the area of the semi circle is 4 ² x π
→ Then divide this by 2.
→ Then you should get 16 π which equals 50.26548246 cm ².
Now, to find the area of the triangle:
→ The area of a triangle is base x height divided by 2.
→ Therefore you should get 9 x 8 divided by 2 which you should get to 36 cm ².
→ Then add the two together to get:
86. 26548246.
→ Then round to the newest hundredth to get to the final answer of : <u>86.27cm².</u>
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1)
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
Answer:
2.5 right?
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
it represents the hours the truck was driven before running out of fuel because the further the line goes the less fuel it has until it reaches the x-axis meaning there's no more fuel