The number of the students in the school that have had algebra is 203
<h3>How to determine the number of students?</h3>
The given parameters in the question are
- Proportion of students taking algebra, p = 70%
- Number of students in the school, n = 290
The number of students that had algebra in the school is calculated as:
Algebra = Proportion of students taking algebra * Number of students in the school
The above equation can be represented as:
Algebra = np
Substitute values for n and p in the above equation
So, we have
Algebra = 290 * 70%
Express 70% as decimal i.e. 0.70
So, we have
Algebra = 290 * 0.70
Evaluate the product i.e. multiply 290 and 0.70
So, we have
Algebra = 203
Hence, the number of the students in the school that have had algebra is 203
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Answer: 0.0905475920892 miles
Step-by-step explanation:
Convert km to Miles using conversion
1km = 0.6213712 miles
86 x 0.6213712 = 53.4379232 miles/hour
divide that by 60 to get miles per minute. Divide again to get miles per second
53.4379232 / 60 / 60 = 0.0148438675556 miles/second
6.1 x 0.0148438675556 = 0.0905475920892 miles
You can't have a negative number under a radical that has an even index. We have an even index since we are dealing with the square root. Because of that we have to get the imaginary i involved.
. Keeping that in mind, let's rewrite our problem:
. If -1 equals i-squared, we can sub that in. Also, since 8 = 4*2 and 4 is a perfect square, let's break that down at the same time:
. i-squared is a perfect square which can be pulled out as a single i, and 4 is a perfect square which can be pulled out as a 2. We will leave a 2 under the radical. Here's your simplification:
, choice C from above.
Answer:
13.6 years
Step-by-step explanation:
Let Ao be the initial value. We're interested in finding out how long it will take for A to double in value, that is, become equal to 2Ao.
We get:
2Ao = Ao(1 + 0.05/12)^(12t)
and must solve this for t.
Dividing both sides by Ao yields 2 = 1(1 + 0.05/12)^(12t), or
2 = (1 + 0.00427)^(12t)
Solve for t by taking the common log of both sides:
log 2 = 12t·log (1.00427), or
0.30103 = 12·t·0.00185. Performing the multiplication on the right side, we get
0.30103 = 0.0222t.
Dividing both sides by 0.0222, we get:
0.30103
t = -------------------- = 13.56
0.0222
It will take this investment about 13 1/2 years to double in value.
Rounded to the nearest tenth, that'd be 13.6 years.
