The driver's tip was $1.45 because the trip cost $8.55 (2.25+1.5+1.5+1.5+1.5+ 0.3) and Eric gave the driver $10 so to find how much the driver got tipped, you need to subtract 8.55 from 10 so $10 - $ 8.55 = $1.45
<span>3 = log(8) + log(x³) </span>
<span>When adding logs, you are multiplying the terms altogether. </span>
<span>3 = log(8x³) </span>
<span>Then, by log_a b = n ==> aⁿ = b: </span>
<span>10³ = 8x³ [Since the base is not given, I assume that the base is 10] </span>
<span>1000 = 8x³ </span>
<span>Finally, solve for x. </span>
<span>1000/8 = x³ </span>
<span>x³ = 125 </span>
<span>x = (125)^(1/3) . . .Set both sides to the power of 1/3. </span>
<span>x = 5 </span>
<span>Hence, x = 5. </span>
Answer:
<em>Ct = 4075 + 368d</em>
Step-by-step explanation:
<u>Function Models</u>
A company rents out food booths and game booths at the county fair.
For a food booth, the company charges a fixed fee of $175 and a variable fee of $10 per day. If d is the number of days, then the charges for a food booth are:
Cf = 175 + 10d
Similarly, the company charges $50 plus $9 per day for a game booth, thus the total charges are:
Cg = 50 + 9d
If all the booths are rented for the entire time, the total amount the company is paid for 17 food booths and 22 game booths is:
Ct = 17Cf + 22Cg
Substituting:
Ct = 17(175 + 10d) + 22(50 + 9d)
Operating:
Ct = 2975 + 170d + 1100 + 198d
Simplifying:
Ct = 4075 + 368d
Answer:
Step-by-step explanation:
so from the silly drawing, you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use TOA to find the Opp side of the triangle .. which is labeled X
Tan(15) = X / 15
15* Tan(15) = X
4.019 = X
so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo
the tree... to where the bird is, at least, is 8.019 feet..
did this make sense? :/
hope the drawing helped :P
The value of z is 73.8
Im sorry it is hard to explain