Answer:
Step-by-step explanation:
The attached photo contains the Venn diagram with the circles representing the set of Spa's, fitness clubs and children clubs
The total number of resorts was 110
a) the number of the resorts that had only Spa is
33 - (2 + 8 + 9) = 14
b)the number of the resorts that had exactly one of these features is
Exactly Spa is 33 - (2 + 8 + 9) = 14
Exactly fitness center is 67 - (15 + 8 + 9) = 35
Exactly a children’s club is 45 - (2 + 8 + 15) = 20
14 + 35 + 20 = 69
c) the number of the resorts had at least one of these features would be
(14 + 35 + 20 + 2 + 15 + 9 + 8) = 103
d) the number of the resorts had exactly 2 of these features would be
2 + 15 + 9 = 26
e) the number of the resorts that none of these features would be
110 - 103 = 7
Answer:
Option B: A triangle with side lengths 4 cm, 5 cm, and 15 cm
Step-by-step explanation:
Since we are dealing here majorly with sides, one condition is that each side has to be shorter than the sum of the other two sides and longer than their difference meaning that if we have a, b and c
The a value has to be shorter than the sum of b and c - a < b+c and the a value also has to be longer than their difference - a > b-c
In this example,we have side lengths 4 cm, 5 cm, and 15 cm. Taking a, b and c as 4 cm, 5 cm, and 15 cm respectively.
The sum of 5 and 4 is 9 and the third side 15 is greater than 9 when it is supposed to be less to construct a triangle.
Answer:
$8950.37
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), in which P is the initial amount of money (the principal), r is the interest rate as a decimal fraction, n is the number of times per year that interest is compounded, and t is the number of years.
Here we have A = $11,000, n = 2, r = 0.07 and t = 3, and so:
$11,000 = P(1 + 0.07/2)^(2*3), or
$11,000 = P (1.035)^6
$11,000 $11,000
Solving for P, we get P = ---------------- = ------------- = $8950.37
1.035^6 1.229
Depositing $8950.37 with terms as follows will result in an accumulation of $11,000 after 3 years.
Answer:
1
Step-by-step explanation:
note that 
= 1 for any value of n, thus
= 1
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"<u>The Math</u>"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
