Answer:
Let's define the variables:
M = mother's age
D = daughter's age.
"a mother is twice as old as her daughter"
This can be written as:
M = 2*D
"5 years from now she will be thrice as old as her daughter"
(M + 5) = 3*D
We want to know how old is the mother five years from now.
First, our equations are:
M = 2*D
(M + 5) = 3*D
First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.
Let's isolate D in the first equation:
M/2 = D
Now we can replace this in the other equation:
Now we can replace this on the other equation:
(M + 5) = 3*(M/2)
M + 5 - (3/2)*M = 0
-(1/2)*M + 5 = 0
5 = (1/2)*M
2*5 = M = 10
So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)
and 5 years from now, the mother will be:
10 + 5 = 15 years old.
Answer:
4. -1
5. +_ 2/5
6. 3.5
Step-by-step explanation:
Answer:
Accumulated amount will be $2504.90.
Step-by-step explanation:
Formula that represents the accumulated amount after t years is
A = 
Where A = Accumulated amount
= Initial amount
r = rate of interest
n = number of times initial amount compounded in a year
t = duration of investment in years
Now the values given in this question are
= $1000
n = 12
r = 4.6% = 0.046
t = 20 years
By putting values in the formula
A = 
= 
= 
= 1000×2.50488
= 2504.88 ≈ $2504.90
Therefore, accumulated amount will be $2504.90.
The answer is -1.5+(-2.75)=-4.25. This equation is the same as the result of -1.5 -2.75.
Answer:
A net has a triangle at the center. 3 triangles are on the sides.
Step-by-step explanation:
- A net is a pattern that is followed to form a model of a figure.
- The pattern gets folded up and a solid figure of made out of it.
- A triangular pyramid has four faces that are triangular.
- There are a total of four triangles that are folded to form a net of a triangular pyramid.
- One triangle is at the center and three triangles are placed on the sides.
