Answer:
$560
Step-by-step explanation:
Given that :
Principal, P= $500
Interest rate, r = 12% per year
Amount in account after 1 year
Time = 1 year
Using the relation :
A = P(1 + rt)
A = final amount in account
A = $500(1 + 0.12(1))
A = $500(1 + 0.12)
A = $500(1.12)
A = $560
To obtain the total surface we have to calculate the surface of the 4 triangles and add up the areas (remember that the area of a triangle is (b*h)/2 , b is the base, h is the height ).
We will caculate first the area of the base triangle for that we considerer the fact that it is an equilateral triangle with sides of lenght 6 cm, now we calculate the height, I am going to draw please wait a moment
using the pythagorean theorem we have that
![\begin{gathered} h^2=6^2cm^2-3^2\operatorname{cm}=27cm^2 \\ h=\text{ }\sqrt[]{27\text{ }}cm \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20h%5E2%3D6%5E2cm%5E2-3%5E2%5Coperatorname%7Bcm%7D%3D27cm%5E2%20%5C%5C%20h%3D%5Ctext%7B%20%7D%5Csqrt%5B%5D%7B27%5Ctext%7B%20%7D%7Dcm%20%5Cend%7Bgathered%7D)
Then, the area of the triangle is 6*h/2 = 3h = 15.59 cm^2.
Now we calculate the area of the other 3 triangles, notice that those triangles have the same base and height so we will calculate for one of them and multiply by 3. From the image we know that the height is 15cm and the base is 6 cm so the area is 45cm^2, and 45*3 cm^2 = 135cm^2.
Finally we add up all the areas:
Answer:
1. $85
2. $90.10
3.$108.12
4.$54.06
Step-by-step explanation:
100-15=85 (15% of 100 is 15)
6 percent of 85 is 5.10. So 85 + 5.10=90.10
20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12
Now divide by 2 to get how much they each will pay 108.12/2 = 54.06
10 times (3*4)
You have to multiply 10 with both of the numbers in parenthesis
So, 10*3=30 and 10*4=40
30+40=70
Does this look right for the first one
Answer:
BC ≈ 14 units
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
BC² + AB² = AC²
BC² + 18² = 23²
BC² + 324 = 529 ( subtract 324 from both sides )
BC² = 205 ( take square root of both sides )
BC =
= 14.317.. ≈ 14 units ( to the nearest unit )