Answer: 4 minutes
Step-by-step explanation: divide 12 and 3
V = 7 x 4 x 15 = 420 inches^3
The answer is 1690. First find
the amount of interest by a single investment by multiplying the investment
amount by the percent interest in decimal form. Then calculate the total by
adding up all the products of investment times interest. Matrices will allow to
multiply two things together and add the products up all at the same time. So
we need to find the investment matrix and interest matrix.
Investment matrix A (transposed) = (a1 a2 a3) = (13,000 12,000 4,000)
Interest Matrix B = (b1
b2 b3) = (0.05 0.06 0.08)
Amount of interest earned = a1b1 + a2b2 + a3b3
Amount of interest earned = (0.05) (13,000) + (0.06)
(12,000) + (0.08)(4,000)
Amount of interest earned = 1690
Answer:
Step-by-step explanation:
Consecutive integers just means like one after another.
This means that:
First number = x
Second number = x + 1
Third number = x + 2
They've told us that the sum of 3 consecutive integers is 78.
First number + second number + third number = 78
Sub the equations we wrote into the formula above and we get:
x + x + 1 + x + 2 = 78
Gather the like terms.
3x + 3 = 78
Subtract 3 from both sides.
3x = 78-3 = 75
Divide both sides by 3 to solve for x.
x = 75/3 = 25
If you look at the very beginning we said that the first number = x.
Therefore it is 25.
Second number = x + 1 = 26
Third number = x + 2 = 27
Triangles have 3 vertices. The total is 21 vertices. 21 / 3 = 7. He drew 7 triangles.
