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Given information
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First showing : 1.30pm
Second showing : 4.15 pm
Inbetween : 1/2 hour break
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Find the time the first showing ends
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1/2 hours before 4.15pm
⇒ 30 mins before 4.15pm
⇒ 3.45pm
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Calculate the duration of the firs show
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1.30pm to 3.30pm = 2 hours
3.30pm to 3.45pm = 15 mins
Total duration = 2 hours 15 mins
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Answer: 2 hours 15 mins
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Answer:
a) $61,607.75
b) 11.607.75
Step-by-step explanation:
Kindly check attached picture for detailed calculation
Over the x-axis: (x, y) (x, –y)
Over the y-axis: (x, y) (–x, y)
Over the line y = x: (x, y) (y, x)
Through the origin: (x, y) (–x, –y)
Answer:
$3,000 invested at 6%
$7,000 invested at 10%
Step-by-step explanation:
Maria had total $10,000 to invest.
Let x be the amount that Maria invested initially at 6% interest rate.
0.06x
Then she invested the remaining amount at 10% interest rate.
0.10(10,000 - x)
She received a total of $880 in interest.
0.06x + 0.10(10,000 - x) = 880
0.06x + 1000 - 0.10x = 880
-0.04x = 880 - 1000
-0.04x = -120
0.04x = 120
x = 120/0.04
x = $3,000
This is the amount that Maria invested initially at 6% interest rate.
The remaining amount is
10,000 - 3,000
$7,000
This is the remaining amount that she invested at 10% interest rate.
