Answer:
Equation of circle in standard form with centre (0, – 10) and radius 6. 
Step-by-step explanation:
We need to write equation of circle in standard form with centre (0, – 10) and radius 6.
The equation of circle is: 
where (h,k) is centre of circle and r is radius
We are given centre (0,-10) so, h=0, k=-10 and radius r = 6
Putting values and finding equation:
So, equation of circle in standard form with centre (0, – 10) and radius 6.
Answer:
3:30PM
Step-by-step explanation:
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
Step 1
We add up the minutes it took her to do things
= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework
= 15 minutes + 45 minutes + 15 minutes
= 75 minutes
= 1 hour 15 minutes
Step 2
When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?
This is calculated be subtracting 1 hour 15 minutes from 4:45 PM
= 4:45 PM - 1 : 15
= 3:30PM
Therefore, Martha got home from school by 3:30 PM
9514 1404 393
Answer:
67.0 square units
Step-by-step explanation:
The formula for the area is ...
Area = 1/2ab·sin(C)
Area = (1/2)(14)(28)sin(20°) ≈ 67.036 . . . . square units
The area of the triangle is about 67.0 square units.
Huh? What does this mean?
. 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>
