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Oduvanchick [21]
3 years ago
11

Sasha borrows $100 at 12% simple interest, to be paid back in 3 months. How much does she pay back

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

  $103

Step-by-step explanation:

Her borrowing is for 3/12 of a year, so her effective interest for the loan is ...

  (3/12)(12%) = 3%

That is, her interest charge is ...

  $100 × 0.03 = $3

and the amount Sasha pays back is $103.

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A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
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To Find :

  • The length and width of the rectangle.

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Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

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Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

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Since, The length can't be negative, so the length will be 9 which is positive.

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\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
What is the ratio 16 to 40 written as a fraction in lowest terms? plz help 50 points
Luda [366]

Answer:- \frac{2}{5}

Step-by-step explanation:

The given ration is 16 :40

In fraction, the above ratio can be written as : \frac{16}{40}

To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.

Since, 16=2\times8\\40=5\times8, Hence, 8 is the greatest common divisor of 16 and 40.

Now, divide the numerator and denominator by 8, we get

\frac{16}{40}=\frac{2}{5}

3 0
3 years ago
]Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6. . . y + 3 = -6(x + 2)
pshichka [43]
Y - y1 = m(x - x1)
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dedylja [7]

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ab^2 / a^2b

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Babylonian numeral number
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