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wlad13 [49]
3 years ago
7

7400 dollars is placed in an account with an annual interest

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

x^y=z\\log_xz=y

which means that

log_{1.06}2.594=n

Solve and get

16.362

which rounds to 17

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Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist,
kozerog [31]

Answer:

a. AB: 3 by 7

b. BA: N by N

c. A^TB: N by N

d. BC: 6 by 3

Step-by-step explanation:

Given

A =3\ by\ 6

B =6\ by\ 7

C =7\ by\ 3

Required

The dimension of the following matrices

As a general rule:

For A * B to be successful, the columns in a must equal the rows in B

Using this rule, we have:

A_{m*n} * B_{n * p} = AB_{m*p}

So:

(a)\ AB

A_{3*6} * B_{6*7} \to AB_{3 * 7}

(b)\ BA

B_{6*7} * A_{3*6} \to AB_{N * N}

The column numbers of B does not equal the row numbers of A.

Hence, BA does not exist

(c)\ A^TB

A^T implies that:

If A =3\ by\ 6, then

A^T = 6\ by\ 3

So:

A^T_{6*3} * B_{6,7} \to A^TB_{N*N}

The column numbers of A^T does not equal the row numbers of B.

Hence, A^TB does not exist

(d)\ BC

B_{6*7} * C_{7*3} \to BC_{6,3}

6 0
3 years ago
Two numbers differ by 3. Their product<br> is 28. Find the numbers.
Paraphin [41]

Answer:

Two solutions (-4,-7) and (4,7)

Step-by-step explanation:

x = y + 3

x*y = 28

(y+3)*y=28

y^2+3y-28=0

(y+7)(y-4)=0

y=-7, y=4

x=-4, x=7

3 0
2 years ago
Help me plz add or subtract the following fraction answer the lowest terms.
Stels [109]
1. =4/16 which in simplified terms = 1/4

2. = 37/99 (find the lowest common denominator which is 99 then multiply them, then combine fractions then subtract them)

3. 2/25

4. 12/18 which simplified is 2/3

5. 5/15 which simplified = 1/3

Hope you understand that:)
3 0
2 years ago
(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.
wariber [46]
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square


Hope that helps :)
3 0
3 years ago
A number n plus 8 is greater than 11.
Bumek [7]
N+8>11 is the answer you are looking for 

8 0
4 years ago
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