Cost of Alejandro's food = $12
Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4
Cost of Mia's food = $18
Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7
Total Tip Paid = 2.4+2.7 = 5.1
Total Check Amount = 12 + 18 = 30
Total tip paid by Alejandro and Mia is r% of the total check amount.
So, we need to determine what % of 30 is equal to 5.1%
⇒ r% × 30 = 5.1
⇒ r% = 5.1 / 30
⇒ r% = 17%
Hence, r is 17%
Answer:
No
Step-by-step explanation:
See take 0.2 for example
In fraction it is 2/100 which can be easily reduced and should be reduced depending on the type of question.
1/50 would be the answer for my example.
Answer:
B
Step-by-step explanation:
20x2 is 40, so 50x2 is 100
Answer:
The semi-annually compounded nominal rate at that time is 7%
Step-by-step explanation:
In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:
PV= FV/(1+r)^n
According to the given data we have the following:
PV=$167
FV=$1,000
n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52
Therefore, 167= $1,000/( 1+r)^52
167/$1,000 =1/(1+r)^52
0.167 =1/(1+r)^52
r =3.50%
Therefore, The semi-annually compounded nominal rate at that time=3.50%*2
The semi-annually compounded nominal rate at that time=7%
The semi-annually compounded nominal rate at that time is 7%
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,
Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.
Simplify,
Inverse operations,
c = 15
