Cost/(number of cassettes) = $14.50/2 = x/15
Multiply by 15 to solve
15*($14.50/2) = x = $108.75
15 cassettes will cost $108.75.
Given :
- In a neutral atom that has an atomic mass of 22 and atomic number of 12.
To Find :-
Solution :-
<u>As </u><u>we</u><u> know</u><u> that</u><u>,</u>
- n(neutrons) + n(protons) = A
- n(neutrons) + 12 = 2 2
- n(neutrons) = 22-12
- n(neutrons) = 10
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> </u><u>is </u><u>1</u><u>0</u><u>.</u>
Answer:
The probability model is
= P(A or B)
Step-by-step explanation:
a) Data and Calculations:
Estimated revenue if the day is sunny = $3,000
Estimated loss if the day is rainy = $600
The probability of rain = 30%
Therefore, the probability of sunshine = 70% (100 - 30)
The probability model is based on the probability of rain or sunshine
= P(A or B)
= A*70% - B*30%
The outcome from either rain or sunshine
= ($3,000 * 70%) -($600 * 30%)
= $2,100 - $180
= $1,920
Answer:
z = 105°
Step-by-step explanation:
See attachment.
1. The angle z plus 105° is equal to 180°, the straight line. Z must therefore be = 105°
2. Angles z and (15x + 45°) must be equal to 190°.
x is therefore equal to 4.
Answer: t ≈ 20 years
Step-by-step explanation:
Since it is compounded continuously , we will use the compound interest formula:
A = P
Where A is the amount when tripled
P is the initial amount
r is the rate
t is the time
since the investment is tripled , it means the A = 3P.
From the question:
A = 3P
P = $6000
r = 5.5%
t = ?
Substituting into the formula , we have
3P = P , that is
3(6000) = 6000
Dividing through by 6000 , we have
3 =
Take the In of both sides in order to remove the exponential , that is
In 3 = 0.055t
divide through by 0.055
t = In 3 / 0.055
Therefore :
t = 19.97476888
t≈ 20 years