Answer:
y=-1/2x-5
Step-by-step explanation:
Well we know that the slope is -1/2 so we can write the equation like this:
y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)
Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3
-3=-1/2(-4)+b
-3=2+b
Subtract 2 on both side:
-2-3=2-2+b
-5=b
Answer:
y=-1/2x-5
Hope this helps!
Answer:
24) $495
25) 14%
26) 25/X = 83/100
27) 0.7p
28) x + .085x and 1.085x
29) $221.90
30) $24.10
31) $6.13
32) 40%
Step-by-step explanation:
24) 600 - (600 × 0.25) = 450
450 × 1.10 = 495
25) (106 - 93) ÷ 93 = 0.13978
0.13978 × 100 = 13.978 ~ 14
27) 1.0 - 0.3 = 0.7
28) 1.00 + 0.085 = 1.085
29) 100% - 15% = 85%
240 × 0.85 = 204
204 × 1.0875 = 221.85
30) 25.89 × 4 = 103.56
103.56 + 179.99 = 283.55
283.55 × 0.085 = 24.10175
31) 8.75 × 0.70 = 6.125
32) 80 - (80 × 0.40) = 48
Lines k and n are perpendicular
The slope of line k is -6
Fact: The product of slopes of two perpendicular lines = -1
So the slope of line n = -1 ÷ -6 = 1/6
The correct choice is 'D.'
The second question is biased
The monthly payment of Angelica on the loan after she graduates in 4 years is $97.22.
<h3>How do we calculate the monthly payment of a loan?</h3>
Firstly, we calculate the future value (FV) of the loan in 4 years as follows:
FV in 4 years = Loan amount * (1 + Interest rate)^4 = $16,000 * (1 + 0.056)^4 = $19,896.45
Secondly, the monthly payment is calculated using the formula for calculating the future value of an ordinary annuity as follows:
M = FV in 4 years / ((((1 + r)^n) – 1) / r) ....................... (1)
Where:
M = Monthly payment = ?
r = monthly interest rate = 0.056 / 12 = 0.00466666666666667
n = number of months = 12 years * 12 months = 144
Substituting all the relevant values into equation (1), we have:
M = $19,896.45 / ((((1 + 0.00466666666666667)^144) – 1) / 0.00466666666666667)
M = $97.22
Learn more about future value here: brainly.com/question/2472793.
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