Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.
4 years ago, the son was:
s-4
So, his father is currently:
3(s-4)
=
3s-12
Therefore:
f = 3s-12
In twelve years, the son will be:
s+12
And the father will be:
f+12
This can also be written as:
3s-12+12 as the fathers younger age would be f = 3s+12
=
3s
So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36
Son’s current age: 36
We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.
2(24)+24 = 72
Father’s current age: 72
Answer:
The amount becomes $6964.53 after 3 years .
Step-by-step explanation:
Formula

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .
As given
Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .
P = $6000
5% is written in the decimal form.

= 0.05
r = 0.05
t = 3 years
Putting all the values in the formula




Therefore the amount becomes $6964.53 after 3 years .
Answer:
The lead statue is 87 inches tall
Step-by-step explanation:
Let
x ----> the height of the lead statue
using proportion
we know that
The height of the lead statue divided by the length of his shadow must be equal to the height of the tourist divided by the length of his shadow.
so

A.) An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.
b.) A Square (4 sides) has 4 Lines of Symmetry.
c.) A Regular Hexagon (6 sides) has 6 Lines of Symmetry