Answer:
monthly payment = $56.445
Step-by-step explanation:
given data
loan = $5000
interest rate r = 5.3 % = 0.053
time t = 2 year = 24 months
solution
we will use here amount of the monthly payments formula that is
monthly payment = principal ×
................1
put here value and we get
monthly payment = 5000 × 
monthly payment = $56.445
The right answer is B.
The first step to answering this question is combining all like terms.
A. 2x + 2 + 2x + 3x - 8
The like terms in this expression are the x terms and the constants
So, what you would do is combine all of the x terms and combine all of the constants
(2x + 2x +3x) + (2 - 8)
7x - 6
B. 4 + 7x - 2
In this expression, you would combine all of the constants
7x + (4 - 2)
7x + 2
C. -2 + 5x + 2x - 4
For this expression, you would again, combine all of the x terms and all of the constants.
-2 + 5x + 2x - 4
(5x + 2x) + (-2 - 4)
7x - 6
D. 8x - x - 6
For this expression, you would combine all of the x terms
8x - x - 6
(8x - x) - 6
7x - 6
Now let's look at all of the new answer choices:
A. 7x - 6
B. 7x + 2
C. 7x - 6
D. 7x - 6
The question is asking you to find the one expression that's different. The only different one is B, so that's the answer.
You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1
Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
Answer:
- x+y≤80; x≥8; y≥5
- see attached for a graph
- Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
Step-by-step explanation:
1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.
x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated
x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based
y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based
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2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.
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3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.