Answer:

Step-by-step explanation:
The manufacturing plant earned $80 per man-hour of labor when it opened
The plant earns an additional 5% for every additional man-hour t.
This can be modeled using the function:

where Initial Amount Earned, P=80
Rate of Increase, r=5%=0.05
Therefore, the function that models the amount earned at any time t is:

Answer:
x=2
Step-by-step explanation:
have a nice day
Applying the trigonometry ratios, we have:
a. CD = 63.6
b. CD = 33.8
c. CD = 16.1
d. CD = 15.9
<h3>What are the Trigonometry Ratios?</h3>
The trigonometry ratios are used to find a length or angle in any right triangle. They are:
- SOH, which is sin ∅ = opp/hyp
- CAH, which is cos ∅ = adj/hyp
- TOA, which is tan ∅ = opp/adj
a. ∅ = 32°
hyp = 75
adj = CD
Apply CAH:
cos 32 = CD/75
CD = cos 32 × 75
CD = 63.6
b. ∅ = 56°
opp = 28
hyp = CD
Apply SOH:
sin 56 = 28/CD
CD = 28/sin 56
CD = 33.8
c. ∅ = 43°
opp = 15
adj = CD
Apply TOA:
tan 43 = 15/CD
CD = 15/tan 43
CD = 16.1
d. ∅ = 27°
hyp = 35
opp = CD
Apply SOH:
sin 27 = CD/35
CD = sin 27 × 35
CD = 15.9
Learn more about the trigonometry ratios on:
brainly.com/question/10417664
28000 + 3000x = 36000 + 2000x
Subtract 2000x from both sides: 28000 + 1000x = 36000
Subtract 28000 from both sides: 1000x = 8000
Divide both sides by 1000: x = 8.
Let me know if there is more to the problem!