Each of the six payments amounts to $41.50
Step-by-step breakdown:
Given,
Total cost of the bike including taxes = $349
Initial payment = $100
Remaining balance = Total cost of bike - Initial payment
Remaining balance = 349 - 100
Remaining balance = $249
She opts to pay in six equal installments, so we divide the total remaining by 6.
Monthly payment = 
Monthly payment = 
Each of the six payments amounts to $41.50
Keywords: division, subtraction
Learn more about subtraction at:
2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39..... this is derived from adding the two equations on the right.
13x = 39 can be used in place of 3x + 5y = 59 in the initial system and will yield the same result.
(a) 4 <span>(b) y = sqrt(9 - (9/16)x^2) </span>The most accurate assumption for the equation based on the general format for an ellipse is: [[TAG_3]]x^2/16 + y^2/9 = 1 [[TAG_4]](a). An ellipse is symmetrical along both its major and minor axes. Thus, if you can calculate the area of the ellipse in one quadrant, multiplying that area by 4 will yield the total area of the ellipse, confirming the factor of 4 is accurate. [[TAG_5]] (b). The standard equation for an ellipse doesn't adequately represent a general function as it results in two y values for each x value. However, if we constrain ourselves to the positive square root, that issue can be resolved easily. Here’s how: [[TAG_6]] x^2/16 + y^2/9 = 1 [[TAG_7]] x^2/16 + y^2/9 - 1 = 0 [[TAG_8]] x^2/16 - 1 = - y^2/9 [[TAG_9]] -(9/16)x^2 + 9 = y^2 [[TAG_10]] 9 - (9/16)x^2 = y^2 [[TAG_11]] sqrt(9 - (9/16)x^2) = y [[TAG_12]] y = sqrt(9 - (9/16)x^2)
Result:
5/7
Explanation in detail:
If she has seven pages to complete and finishes five, she has done 5 out of the 7 tasks. This can also be expressed as 5 divided by 7, or 5/7.
