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Ivanshal [37]
3 years ago
8

1. Actually calculate the final amount on $1000 compounded annually at 6% per year for 4 years?

Mathematics
2 answers:
nexus9112 [7]3 years ago
3 0

Answer:1262.5

Step-by-step explanation:

A=amount p=principal r=rate n=time in years

A=p(1+r/100)^n

A=1000(1+6/100)^4

A=1000(1+0.06)^4

A=1000(1.06)^4

A=1000×1.2625

A=1262.5

gavmur [86]3 years ago
3 0

Answer:the final amount is $1263

Step-by-step explanation:

Initial amount deposited into the account is $1000 This means that the principal is

P = 1000

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 6%. So

r = 6/100 = 0.06

It was compounded for 4 years. So

t = 4

The formula for compound interest is

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

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

A = 1000 (1+0.06/1)^1×4

A = 1000(1.06)^4

A = $1263

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Illusion [34]

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The result of this computation is a number that begins 2.56.... Since the hundredths digit is more than 4, the tenths digit is rounded to the next higher value, from 5 to 6.

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7 0
3 years ago
The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96
Alja [10]

Thee diagonal of the rectangle is 13.86 cm long.

<h3>What is the length of the diagonal of rectangle?</h3>

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

Read more about Rectangle Diagonal at; brainly.com/question/7071655

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6 0
2 years ago
The radius of a circle is 5 miles. What is the diameter?<br> Give the exact answer in simplest form.
horrorfan [7]

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
1) The Boateng family has a sickening house whose layout is shown
ZanzabumX [31]

Answer:

The cost will be $1662.136  

The total square ft of carpeting will be 231.1122ft^2    

Step-by-step explanation:

For the bedrooms,  the dimension from the image is shown as(see attahced)

Bedroom #2= 10"8' x10"4'

Bedroom #3= 10"8' x11"4'

let us convert all dimension to feet and solve for the area of the bedrooms

Bedroom #2= 10"8' x10"4'

Bedroom #2=10.67x10.33feet

Area of Bedroom #2= 110.2211ft^2

Bedroom #3 = 10"8' x11"4'

Bedroom #3 =10.67x11.33feet

Area of Bedroom #3= 120.8911ft^2

The total area of both rooms is

Total area=110.2211+120.8911

Total area=231.1122ft^2

now the cost of one square floor s $8.99

hence the cost of 231.1122ft^2 will be

Cost of carpet = 231.1122*8.99

Cost of carpet = $2,077.67

Given that, because you are a contractor, you will receive 20% off

therefore it will cost

= (20/100)*2,077.67

=0.2*2,077.67

=$415.534

The cost will now be  $2,077.67-$415.534

= $1662.136

6 0
3 years ago
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