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FrozenT [24]
3 years ago
15

$600 , 8% , 1 month find the simple interest

Mathematics
1 answer:
Vlad [161]3 years ago
7 0

Answer:

$4

Step-by-step explanation:

Simple interest = Principal *rate *time

S.I = P*r*t

Principal ; p = $600

rate ; r = 8% or 0.08 as a decimal

time; t = 1 month , however, convert this to years by dividing by 12;

t = 1 / 12

Next, plug in the numbers into the formula;

S.I = 600 *0.08*\frac{1}{12}

S.I = 4

Therefore simple interest in 1 month becomes $4

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
MATH HELP ASAP!!! MAKING BRAINLIST
Ulleksa [173]

Answer:

22.86

Step-by-step explanation:

2.54 x 9 will give you the answer.

7 0
3 years ago
Read 2 more answers
Which set of ordered pairs is not a functions?
Anit [1.1K]

Answer:

A

Step-by-step explanation:

X values cannot repeat in a function, 3 is used as an X value twice in A, and therefore cannot be a function.

If this is graphed, you can use the vertical line test, if a vertical line on any point goes through other points, it is not a function.

In this case, just check if X repeats.

4 0
3 years ago
Y-x=17<br> y = 4X+2<br> Help me out rn!!!!
Lena [83]
X=5 because you plug in the y into the equation y-x=17
3 0
3 years ago
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