Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = 
=
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
Total = Principal * e^(rate*years)
Total = 4,500 * 2.718281828459^(.02*4)
Total = 4,500 * 2.718281828459^(.08)
Total = 4,500 *
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1.0832870677
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Total =
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4,874.79
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calculator for checking the answer:
http://www.1728.org/compint.htm
Answer:
77.88 minutes
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
For 80% of student to complete the exam. In the given time
Using the formula :
Zscore = (X - mean) / standard deviation
80th percentile = 80/100 = 0.8 has a Zscore = 0.7881
0.7881 = (X - 70) /10
0.7881 * 10 = X - 70
7.881 = X - 70
7.881 + 70 = X
77.881 = X
Hence, 77.88 minutes should be given
Answer:
B. s = 24t
Step-by-step explanation:
Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my
m = rate of change
✔️Find the rate of change:
Rate of change using two given pairs, (0.5, 12) and (2.5, 60),
Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24
✔️Substitute m = 24 into s = mt
s = 24t