All categories

3 years ago

Please give the correct answer

Mathematics

1 answer:

Mice21 [21]3 years ago

5 0

Answer: yes

Step-by-step explanation:

You might be interested in

The graph shows a reflection in the x-axis. The matrix M such that, for any point (x, y), M(x, y) = (x', y') is

Rashid [163]

Answer:

This is a reflection about the x-axis.

Step-by-step explanation:

A reflection about the x-axis has the rule

[x,y]-> [x,-y].

Therefore

M[x,y] = [x,-y}

Let M=

|a b|

|c d|

Then the matrix multiplication gives

ax+by=x.............(1)

cx+dy=-y............(2)

Solving the previous equations (1) and (2) gives

a=1, b=0

c=0, d=-1

giving M as

|1 0|

|0 -1|

4 0

3 years ago

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly.

Temka [501]

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

$Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\$

Effective annual yield = 0.05094534 or 5.094%

6 0

3 years ago

bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be

Rama09 [41]

The length of the diagonal is the hypotenuse of the fence

The length of the wood is $7\sqrt{ 2$ yards

<h3>How to determine the length of the wood?</h3>

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

$L = \sqrt{a^2 + b^2$

This gives

$L = \sqrt{7^2 + 7^2$

Express as products

$L = \sqrt{7^2 * 2$

Express as radical

$L = 7\sqrt{ 2$

Hence, the length of the wood is $7\sqrt{ 2$ yards