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THIS IS A MATH PROBLEM ABOUT MATH.
THIS IS A MATH PROBLEM ABOUT MATH.
2 answers:
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Answer:
78. t=8.66yrs
79. r=23.10%
80. r=11.0975%
Step-by-step explanation:
78. Given the initial deposit is $1,000 and the 8% compounded continuously. The doubling time can be calculated using the formula;
Given that A=2P, we substitute in the equation to solve for t:
Hence, it takes 8.66 years for $1,000 to double in value.
79.
Given the initial deposit is $1,000 and the r% compounded continuously.
-The doubling rate can be calculated using the formula;
#We substitute our values in the equation to solve for r:
Hence, the deposit will double in 3 years at a rate of 23.10%
80.
Given the initial deposit is $30,000 and the future value is $2,540,689.
-Also, given t=40yrs, the rate of growth for continuous compounding is calculated as:
Hence, the deposit will grow at a rate of approximately 11.0975%
The figure of the prism is attached below.
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.
Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A
The total surface area of the prism equals the sum of areas of two triangles and the three rectangles.
Surface Area of Prism = Area of 2 Triangles + Area of 3 Rectangles.
Area of a Triangle = 0.5 x Base x Height
Area of a Triangle = 0.5 x 3 x 4 = 6 square units
There are 3 rectangles. From the figure we can see that the bottom most rectangle has the dimensions 4 by 6. The left most rectangle has the dimensions 3 x 6 and the right most rectangle has the dimensions 5 by 6.
So, the Area of 3 rectangles will be = (4 x 6) + (3 x 6) + (5 x 6) = 72 square units
The Surface Area of the prism will be:
Surface Area = 2 (4) + 72 = 84 square units
Thus the correct answer is option A