Answer:
$46,053
Step-by-step explanation:
- Convert 29% into a decimal, which is 0.29.
- Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
- Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
Answer:
for #14, x=10
Step-by-step explanation:
in the graph, 6x = 5x +10 so if x was 10 it would be 60 = 60 so x = 10
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
What In the world that is not a problem
Answer:
Step-by-step explanation:
So y=mx+b tells us the initial amount is b (also known as the y-intercept).
Anyways you have to pay a one time fee of 35 dollars and then it is 50 dollars per month.
Let x represent the number of months she goes to yoga.
If she goes 1 month it costs her 35+50.
If she goes 2 months it costs her 35+50+50 or just 35+50(2).
If she goes 3 months it costs her 35+50+50+50 or just 35+50(3).
If she goes x months it costs her 35+50x.
Now she only has 1325.
So we want the cost of her x months to be less than or equal to 1325 because she doesn't have more than that.
So we want
