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11 months ago

A banner is in the shape of a rectangle.It is 18 feet long and 9 feet wide.What is its perimeter?

Mathematics

1 answer:

Hatshy [7]11 months ago

6 0

The given problem can be exemplified in the following diagram:

The perimeter of a figure is the sum of all of its sides, therefore, the perimeter of the figure is:

$P=18ft+18ft+9ft+9ft$

Adding the terms:

$P=54ft$

therefore, the perimeter is 54 feet.

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2 years ago

Read 2 more answers

4 less than half a number is equal to 2 more than the number

xxMikexx [17]

Answer:

$-12$

Step-by-step explanation:

Let that number be $x$ . We can build an equation, and solve for $x$ .

$4$ less than half of $x$ is $x/2-4$ .

$2$ more than $x$ is $x+2$ .

We are given that the two quantities are equal, so we have that $x/2-4=x+2$ .

Adding $4$ to both sides gives $x/2=x+6$ .

Multiplying both sides by $2$ gives $x=2(x+6)=2x+12$ .

Subtracting $2x$ from both sides gives $-x=12$ .

Multiplying both sides by $-1$ gives $x=-12$ .

So, the number is $\boxed{-12}$ and we're done!

The check is left as an exercise to the reader.

3 0

3 years ago

Matt invests $1,669 in a saving account with a fixed annual interest rate of 2% compounded 12 times per year. How long will it t

vesna_86 [32]

Answer:

It will take 4.84 years

Step-by-step explanation:

The initial amount that Matt invested was $1669. It means that principal is

P = 1669

It was compounded 12 times per year. So

n = 12

The rate at which the principal was compounded is 2%. So

r = 2/100 = 0.02

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years.

A = 1,844.38

Therefore

1,844.38 = 1669(1+0.02/12)^(12×t)

1,844.38/1669 = (1.0017)^(12t)

1.1051 = (1.0017)^(12t)

Taking log to base 10 of both sides, it becomes

Log 1.1051 = log 1.0017^(12t)

Log 1.1051 = 12tlog 1.0017

0.043 = 0.00074 × 12t

0.043 = 0.00888t

t = 0.043/0.00888

t = 4.84 years

6 0

3 years ago

Last year, Kevin had 20,000 to invest. He invested some of it in an account that paid 6% simple interest per year, and he invest

tester [92]

$13,000 was invested at 6% whereas $7,000 was invested at 10% using simple interest approach

What is simple interest?

Simple interest is determined as the amount invested multiplied by the interest rate and the number of years that investment lasts.

I=PRT

I=interest

P=principal

R=rate of return

T=time

Let X be the amount invested at 6%

I at 6%=6%*X*1

I=0.06X

The amount invested at 10% is 20,000-X

total interest=0.06X+0.10*(20000-X)

total interest=1,480

1480=0.06X+0.10*(20000-X)

1480=0.06X+2000-0.10X

1480-2000=0.06X-0.10X

-520=-0.04X

X=-520/-0.04

X=13,000

13,000 was invested at 6%

amount invested at 10%=20,000-X

amount invested at 10%=20,000-13,000

amount invested at 10%=7,000

Find out more about simple interest on:brainly.com/question/20690803

#SPJ1

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1 year ago

2) translate into an equation

Butoxors [25]

-4 - 7 divide 8n thats the answer

6 0

3 years ago