1+tan^2(A) = sec^2(A) [Pythagorean Identities]
tan^2(A)cot(A) = tan(A)[tan(A)cot(A)] = tan(A)[1] = tan(A)
*see photo for complete solution*
Answer:
Step-by-step explanation:
We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.
We will use volume of cylinder formula to solve our given problem as:
, where,
r = Radius,
h = Height of cylinder.
Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be meters at .
Upon substituting these values in above formula, we will get:
Now, we will take positive square root of both sides as radius cannot be negative.
Therefore, radius of tank would be approximately square root of 10 m.
Answer:
12
Step-by-step explanation:
so its at 12 visits because its their lowest common factor so i think it should be 12
. 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>