Answer: a= 1.21
Step-by-step explanation:
Note: This is a compound interest problem
Step 1
The value of the antique after one year is:
100% + 10% of the purchase price
= 110% of 200
=110/100 of 200
=1.10 × 200
Step 2
The value after two years is:
110% of the value after one year
=110% of (1.10 × 200)
=110/100 of (1.10× 200)
=1.10×(1.10×200)
=1.21×200
Step 3
Expressing the above solutionin the form 200a:
= 200× a = 200 × 1.21
|a=1.21
Thanks
Answer:
The equations are:
and 
Step-by-step explanation:
Given
Represent bones eaten Today with T and yesterday with Y
Required
Write the equation
In the first statement, we have that:

Reading further; In the second statement

Hence, the equations are:
and 
Solving further:
Substitute 2Y for T in the second equation


Divide both sides by 4


Recall that



Answer:
The length of the missing piece is 2 ft 3 inches
Step-by-step explanation:
Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.
Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces
That would be;
10 ft - 4 ft 7 inches - 3 ft 2 inches
In a foot there are 12 inches
Thus
10 ft = 10 * 12 = 120 inches
4 ft 7 inches = 4(12) + 7 = 55 inches
3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches
Thus the length of the remaining piece would now be;
120 -55 -38 = 27 inches
That is same as 24 + 3 inches
24 inches = 2 ft
So 27 inches = 2 ft 3 inches
The figure shown below illustrates the problem.
The volume of the empty cone is
V₁ = (1/3) π r²h
The volume of the sphere is
V₂ = (4/3) π r³
Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r
Answer:
The height of the cone is 4 times greater than the radius f the cone.
Okay so your equation is going to be : 18= 5k + 3.25p