A cliff overlooking Lanberry Lake is experiencing erosion, losing elevation at a rate of 5%

Find the sum of the given vectors and illustrate geometrically. [-1,4],[6,-2]

cricket20 [7]

Answer:

The sum of vectors is <5,2>.

Step-by-step explanation:

The given vectors are <-1,4> and <6,-2>.

We need to find the sum of the given vectors and illustrate geometrically.

Plot the point (-1,4) on a coordinate plane and draw a vector <a> from (0,0) to (-1,4).

Plot the point (6,-2) on a coordinate plane and draw a vector from (0,0) to (6,-2).

Now complete the parallelogram and the diagonal represents the sum of both vectors.

The end point of the diagonal is (5,2). It means sum of vectors is <5,2>.

Check the sum of vectors:

$+==$

Therefore, the sum of vectors is <5,2>.

4 0

3 years ago

Juan completed the table below. what mistake did Juan make?

Margaret [11]

For me is D........
Im not shure

3 0

3 years ago

5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was

yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

Cost of Matinee tickets= $7

Total number of people= 5000

Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= $(5000-x)$

We know, total cost= $Price\ of\ each\ ticket \times number\ of\ people$

Now, forming an equation to show total spending on tickets.

⇒ $\$ 9.50(5000-x)+ \$ 7x= \$ 44000$

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ $47500-9.50x+7x= 44000$

⇒ $47500-2.5x= 44000$

Adding both side by 2.5x

⇒ $47500 = 44000 + 2.5x$

subtracting both side by 44000

⇒ $3500= 2.5x$

Dividing both side by 2.5

⇒ $x= \frac{3500}{2.5}$

∴ $x= 1400$

Hence, number of people attended the matinee show are 1400.

7 0

3 years ago

What are the four major categories of securities? How are they evaluated?

Xelga [282]

Answer:

Cash, Bonds, Stocks and Mutual funds

Step-by-step explanation:

The four major categories of securities are:

Cash
Bonds
Stocks
Mutual funds

These 4 major categories are evaluated as given below:

Cash: Cash is your normal money. You can use it to buy your everyday goods and services or invest in cash in various asset classes.

Bonds: Bond is debt instrument and bonds are the agreement of debt. and bonds carry coupon rate that is (interest equivalent), tenure and final capital repayment

Stocks: Ownership of stock in a company. A group (or a single) share of any company is called stock. Stock means you have some stake in the company.

Mutual Funds: A mutual fund is an asset basket that can hold cash, bonds, stocks, real estate, and so on. The type and structure of mutual funds will vary depending on the client's choice of the fund manager and the category of the category

5 0

3 years ago

There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4

Sergeeva-Olga [200]

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information: