We have been given two matrices a and b. A has 6 rows and 7 columns, while b has 7 rows and 8 columns.
Since we know that order matters in matrix multiplication. In order for matrix multiplication to be defined number of columns in the first matrix should be equal to the number of rows of in the second matrix.
We can see that number of columns in matrix a and number of rows in matrix b is 7.
Therefore, size of ab will be equal to number of rows of matrix a and number of columns of matrix b that is 6 by 8.
Now we will see whether ba is defined or not. We can see columns in matrix b are 8 and rows in matrix a are 6, which is not equal. So we can say that ba is not defined.
Therefore, size of ba is not defined (dne).
Plug in the known variables.
5n + 2 n = number of games bowled
5(3) + 2 = 15 + 2 = 17
Answer: 4.82 km
Step-by-step explanation:
You went for a run on Monday.
You then went on a run on Tuesday as well. On this day you ran 2.41 km and it is said that you ran the same distance on both days which means you ran for 2.41 km on Monday as well.
The total distance you ran is therefore:
= 2.41 + 2.41
= 4.82 km
Answer:
Brionny invested £8400.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.
First year:
Amount of 2% interest, during 1 year.
So the interest earned is:
The total amount at the end of the first year is:
Second year:
We have that:
The interest earned is of:
The total amount is:
After two years, the investment is worth £8653.68 How much did Briony invest?
So
Brionny invested £8400.
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