If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
<h3>How to calculate the volume of a pyramid.</h3>
Mathematically, the volume of a pyramid is given by the formula:
<u>For the </u><u>base area</u><u>:</u>
The area of a right triangle is given by:
A = 54 square units.
<u>Given the following data:</u>
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:
h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
Answer:
Number of nickels = 17
Number of dimes = 23
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
x + y = 40 (1)
0.05x + 0.10y = 3.15 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.05x + 0.10y = 3.15 (2)
0.05(40 - y) + 0.10y = 3.15
2 - 0.05y + 0.10y = 3.15
- 0.05y + 0.10y = 3.15 - 2
0.05y = 1.15
y = 1.15/0.05
y = 23
Substitute y = 23 into (1)
x + y = 40 (1)
x + 23 = 40
x = 40 - 23
x = 17
Number of nickels = 17
Number of dimes = 23
You will need to use this formula:
Principal = Total ÷ (1 + Rate) ^ <span>years
</span><span>Principal = 35,000 / [1.08]^4
</span><span><span><span>Principal = 35,000 / 1.36048896
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
25,726.04
</span>
</span>
</span>
So, you would have to deposit $25,762.04 @ 8 per cent to have 35,000 in four years.
Point-slope form is y-y1=m(x-x1)
m=1
y1=11
x1=-2
y-11=1(x-(-2)
