Answer:
| 10 -10 1 |
| 1 -2 -4 |
| -8 13 -24|
Step-by-step explanation:
First multiply each element in matrix A, this gives:
| -6 - 2 -3 |
| 1 -6 -4 |
| -4 5 0 |
Now we multiply each element in matrix B by 4, this gives:
| -16 8 -4 |
| 0 -4 0 |
| 4 -8 24 |
Finally subtract this from the first matrix ( subtracting element by element) gives:
| 10 -10 1 |
| 1 -2 -4|
| -8 13- 24|
Answer: the total length of the string is 9 meters.
Step-by-step explanation:
The total number of strings that Emily measured is 3.
The length of the first piece of string measures 642 cm.
The length of the second piece of string measures 124 cm.
The length of the third piece of string measures 134 cm.
Therefore, the total length of the 3 pieces of string would be
642 + 124 + 134 = 900 cm.
100 cm = 1 m,
Converting 900 centimeters to meters, it becomes
900/1100 = 9 meters
Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.
With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft.
The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft. There are two of these sides, for a total of 2*60 = 120 sq. ft.
The gables are triangles, which have an area formula of
A = 1/2bh
For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft. Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.
The closed side under a gable has an area of 6*7.5 = 45 sq. ft.
The two roof panels have an area of (4 1/12)(2 1/2) each:
49/12(5/2) = 245/24
There are two of them, which makes 490/24 = 20.42 sq. ft.
Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.
With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.
Answer:
gain of $4400
Step-by-step explanation:
carrying value= $109900
callable value= $105500
Since, the bond is callable it can be redeemed by the company before its maturity. The value at which the bond is redeemed is called callable value.
here the carrying value is higher than the callable value hence the balance will gain to the company.
Gain = carrying value-callable value= 109900-105500= $4400
Answer:
3
Step-by-step explanation:
First, multiply the bread cost 2.70 by 2, getting you 5.40.
Next, add 11 for the cost of the caketo 5.40 getting you 16.40
Subtract 16.40 from 20 to get how much money you get for the cookies, getting you 3.60
Divide 3.60 by 3 to find how much money each boy gets, getting you 1.20
Divide 1.20 by .40 to get the number of cookies each boy gets, getting you 3
