Answer:
Total volume of the figure = 1067 cm³
Step-by-step explanation:
Volume of the composite figure = Volume of the rectangular prism + Volume of the square pyramid
Volume of the rectangular prism = Length × Width × Height
= 10 × 10 × 7
= 700 cm³
Volume of the square pyramid = 
= 
× height
= 
= 366.67 cm³
Total volume of the composite figure = 700 + 366.67 = 1066.67 cm³
≈ 1067 cm³
Maria needs to save $187.50 per month in order to attend college.
First, subtract the $1,100 scholarship from the cost of college, or $10,100, to get $9,000. This is the amount that she needs to save after 4 years. Next, since she is saving monthly, we need to know how many monthly periods are in 4 years, so multiply 12 months/year by 4 years to get 48 monthly periods. Finally, divide the total amount needed ($9,000) by the monthly periods (48) to get $187.50. This answer would change if she earned any interest on her savings, and depending on the compounding period, if any, for such interest.
Answer:
The slope of tangent at point (1,-2) is 
.
Step-by-step explanation:
The given equation of ellipse is
Differentiate both sides with respect to x.
Calculate the value of \frac{dy}{dx} at (1,-2).
Therefore the slope of tangent at point (1,-2) is .
Answer:
12 1/2 yd^2
Step-by-step explanation:
The area is length times width
A = 3 3/4 * 3 1/3
Change to improper fractions
A = 15/4 * 10/3
Rewriting
A = 15/3 * 10/4
= 5 * 5/2
= 25/2
Changing back to a mixed number
= 12 1/2
