Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
<u>Recall</u><u> </u><u>:</u>
<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>
- Distance = 10 × (t + 3) = 10t + 30 - - - (1)
<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>
- Distance = 12 × (t - 2) = 12t - 24 - - - - (2)
<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>
10t + 30 = 12t - 24
<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>
10t - 12t = - 24 - 30
-2t = - 54
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
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I think it's b but i'm not sure!
1- The interest rate is 7.5/year so 7.5/.75 year(9 months) at 500$ which would produce a profit of 28.13$ so a total of 528.13
2-7.5/year for 1.5 years(18 months) at 500$ so total interest is 56.25$ so the total is 566.25$
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!
Answer:
9
Step-by-step explanation:
Given
x² - 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 5 + 9, that is
(x - 3)² = 14
