None of these answers can be the answer okay so it should be 1/6
Therefore the answer is a.
To get this first you add 3+15=18
Next you divide it by 6, 18 divided by 6 =3
Therefore 1/6=3
I hope that this helped
If you can't read it, I'll do my best to translate:
Z) 10^2 + 5^2 = 125
√125 = 11.18 = Z
Y) tan-1(5/10) = 26.57°
90 + 26.57 = 116.57
180 - 116.57 = 63.43°
5 ÷ sin(63.43) = 8.88 = Y
X) 11.18^2 + 8.88^2 = 203.8468
√203.8468 = 14.28
14.28 - 10 = 4.28 = x
All numbers are rounded to 2 decimal places, if you need any explanations for why I did something then just let me know :)
I hope this helps!
. Let me do my best.
<span>$187,500 is cost of house. </span>
<span>20%, or $37,500 is the down payment. </span>
<span>The loan amount would be $187,500 - $37,500 = $150,000. </span>
<span>If we assume the annual rate of the loan is 4.65% </span>
<span>Then the monthly rate would be 4.65%/12 = 0.3875% </span>
<span>If the loan is $150,000, the interest is 0.3875% </span>
<span>The interst for the first month is $150,000 * 0.3875% = $581.25. </span>
<span>You stated that their payment is $1,575. </span>
<span>So the amount that pays off the loan is $1,575 - $581.25 = $993.75. </span>
<span>At the end of the month, they owe $150,000 - $993.75 = $149,006.25 </span>
<span>For the second month, the amount of the payment that goes towards interst is </span>
<span>$149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. </span>
<span>At the end of the second month they owe $148,008.65. </span>
<span>Regarding realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income. So if a payment of $1,575 is 28% of Gross, then the math is : $1,575 = 0.28*Gross. </span>
<span>Gross = $5,625 monthly. </span>
<span>About $67,500 annually. </span>
<span>About $33.75 an hour.</span>
Answer:
The constant of proportionality is
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities
- If x and y are in directly proportion, then
, where k is the constant of proportionality.
- The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.
<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>
∵ Point (4, 18) lies on the line
∴ x = 4, y = 18
∵ The equation is y = kx
→ Substitute x by 4 and y by 18
∴ 18 = k(4)
∴ 18 = 4k
→ Divide both sides by 4 to find k
∴ 
∴ 
→ Simplify the fraction by dividing up and down by 2
∴ 
∴ The constant of proportionality is