Using: A^2+b^2=c^2
A&b= (√10)^2=10
10+10=c^2
20=c^2
(take the square root of 20)
c=2√5
Your answer is D
Answer: The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
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Step-by-step explanation:
$187,500 is cost of house. 20%, or $37,500 is the down payment. The loan amount would be $187,500 - $37,500 = $150,000. If we assume the annual rate of the loan is 4.65% Then the monthly rate would be 4.65%/12 = 0.3875% If the loan is $150,000, the interest is 0.3875% The interst for the first month is $150,000 * 0.3875% = $581.25. You stated that their payment is $1,575. So the amount that pays off the loan is $1,575 - $581.25 = $993.75. At the end of the month, they owe $150,000 - $993.75 = $149,006.25 For the second month, the amount of the payment that goes towards intrest is $149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60. At the end of the second month they owe $148,008.65. 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. Gross = $5,625 monthly. About $67,500 annually. About $33.75 an hour.
