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Ivenika [448]
3 years ago
14

ASAP!!! PLS SHOW ALL WORK + STEPS! THX!

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer: For the graph,

43. y=2.5x−4

45. y=−15x+3

47. y=12x+−94

Step-by-step explanation:

43.

Let's solve for x.

y=2.5x−4

Step 1: Flip the equation.

2.5x−4=y

Step 2: Add 4 to both sides.

2.5x−4+4=y+4

2.5x=y+4

Step 3: Divide both sides by 2.5.

2.5x2.5=y+42.5

x=0.4y+1.6

Answer:

x=0.4y+1.6

45.

Let's solve for x.

y+15x=3

Step 1: Add -y to both sides.

15x+y+−y=3+−y

15x=−y+3

Step 2: Divide both sides by 1/5.

15x15=−y+315

x=−5y+15

Answer:

x=−5y+15

47.

Let's solve for x.

2x−3=4y+6

Step 1: Add 3 to both sides.

2x−3+3=4y+6+3

2x=4y+9

Step 2: Divide both sides by 2.

2x2=4y+92

x=2y+92

Answer:

x=2y+92

 

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Tom wishes to purchase a property that has been valued at $300,000. He has $30,000 available as a deposit, and will require a mo
Mekhanik [1.2K]

Answer: The total interest paid on the mortgage is $179550

Step-by-step explanation:

The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be

300000 - 30000 = $270000

Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 270000

r = 2% = 2/100 = 0.02

n = 12 because it was compounded 12 times in a year.

t = 25 years

Therefore,

A = 270000(1+0.02/12)^12 × 25

A = 270000(1+0.0017)^300

A = 270000(1.0017)^300

A = $449550

The total interest paid on the mortgage is

449550 - 270000 = $179550

3 0
3 years ago
Solve the triangle.
saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

b^{2} = a^{2} +c^{2} -2*a*c*cos(B)

b^{2} =1681+400-1326.787871

b^{2}= 754.21219

b= \sqrt{754.21219}

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so the last choice looks good

5 0
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2. Diamond has $350 in her bank account. She
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Answer:

$173.70 will be the balance

Step-by-step explanation:

350 - (4*18.45) - (2*51.25)

350 - 73.80 - 102.50= 173.70

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).
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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5

well then therefore

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

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An air conditioning system can circulate 470 cubic feet of air per minute. How many cubic yards of air can it circulate per​ min
vladimir1956 [14]

Answer:

17 yards/minute.

Step-by-step explanation:

7 0
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