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gtnhenbr [62]
3 years ago
11

The number of vertices in a prism is twice the number of vertices of one of the bases. How many vertices does one of the bases o

f a regular prism with 14 faces and 36 edges have? Euler’s formula: V + F = E + 2 12 13 17 24
Mathematics
2 answers:
ivann1987 [24]3 years ago
6 0
V + F = E + 2
V + 14 = 36 + 2
V + 14 = 38
- 14 -14
V = 24
the answer is D.) 24
Ira Lisetskai [31]3 years ago
3 0
The answer is 12 vertices. 
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According to the Associative Property, which expression is equal to (14)(6)(3x)?
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Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

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3 years ago
What is 0.00078 in scientific notation?
frozen [14]
Answer: 7.8 x 10^-4
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Can someone pls find the slope and y-intercept ASAP!!
Semenov [28]

Answer:

4/1. with an intercept of 5

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3 years ago
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