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Fofino [41]
3 years ago
5

Help me by answering these 2 for me :)​

Mathematics
1 answer:
Alborosie3 years ago
4 0

$2,514 and $2,027. Samantha pay over the three years $2,514 of interest, while Tomas will be earn $2,027 at the end of the four years.

These are problems of simple interest, whose formula is I = Prt. Where I is interest, P is principal (intial value), r is the interest rate, and t is time (year).

The simple interest refers to the interest that an initial capital produces in a period of time, which does not accumulate to the capital to produce the interests of the following period; concluding that the simple interest generated or paid for the capital invested or borrowed will be the same in all the periods of the investment or loan while the interest rate and the term do not change.

Samantha wants to borrow $7,618 for 3 years at an interest rate of 11% per year. How much interest will Samantha pay over the three years?

I = Prt, with P = $7,618, r = 11%/100=0.11, and t = 3 years.

I = (7618)(0.11)(3) = 2513.94 ≅ 2514

Tomas invested $6,874 dollars for 4 years. If he was paid an interest rate of 7.37% per year. How much interest will be earn at the end of the four years.

I = Prt, with P = $6,874, r = 7.37%/100 = 0.0737, and t = 4 years

I = (6874)(0.0737)(4) = 2026.45 ≅ 2027

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Tracy walked for 3 1/2 miles . How many feet did she walk ?
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18,480 feet

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If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
3 years ago
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Greg made 27 ounces of potato salad to serve to 10 people at a picnic if each serving is the same size how much potato salad wip
kirza4 [7]

Answer:

Each person will get 2.7 ounces of potato salad.

Step-by-step explanation:

We are given that;

Total ounces of potato salad Greg made = 27 ounces

Number of persons to be served = 10 people

Now, we are told that each serving is the same size, thus it means each person will receive same size of potato salad.

Thus,

the amount received by each person = Total ounces of potato salad Greg made/total number of persons to be served.

So,

the amount received by each peron

= 27/10

= 2.7 ounces

Thus,

Each person will get 2.7 ounces of potato salad.

6 0
3 years ago
I wish to digitally store a very old book written in an ancient Chinese language. What is the minimum number of megabytes (to th
Alisiya [41]

Answer:

The total number number of megabytes required to store the book is

Step-by-step explanation:

The smallest unit of storage on a computer  are Bits. That is, a single on/off value.

This is different from a Bytes.

Bytes are often represented by the capital letter B, bits by a lower case b.

Please note: A single typed character (for example, 'x' or '8') is stored in one byte.

1 Byte = 8 bits.

1, 000 Bytes = 1 Kilobyte and

1,024 Kilobytes = 1 Megabyte

Therefore 1,000,000 Bytes = 1 Megabyte

STEP I - Get the Number of Bytes required.

Each symbol = 1 byte

Each Page has 445.8 symbols

The book has 360 pages.

Therefore, total number of symbols =

445.8 x 360

= 160, 488 Bytes

If our answer has to be in Megabytes, recall that 1,000,000 Bytes = 1 Megabyte.

Therefore the minimum number of megabytes required to store the book =

160,400/1,000,000

= 0.1604

In three decimal places our answer therefore is

= 0.160 Megabytes or 0.160MB.

Cheers!

8 0
3 years ago
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