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3 years ago

14

Ashley took out a $1500 loan and promises to pay it back with 5% interest after 18 months. How much interest would she have to p

ay back?

1 answer:

babymother [125]3 years ago

5 0

Answer:

75.00

Step-by-step explanation:

1500*0.05

because 5% is her interest you convert 5% into a decimal = 0.05

then you multiply 1500 by 0.05 and you get 75.00

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Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph

Luden [163]

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

$A = \cfrac{\overline{AB}\times\overline{AC}}{2}$

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

$\overline{AB} = |2-0| = |2| = 2$

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

$\overline{AC} = |4-0| = |4| = 4$

So, the area is

$A = \cfrac{2\times 4}{2} = 4$

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3 years ago

A designer is creating a rug for an oddly-shaped room. His design for the rug is shown below. If each blue square represents 1 s

likoan [24]

Answer:

btw we cant see the image sorry

Step-by-step explanation:

3 0

3 years ago

The decimal form of a fraction is called a what

Yuri [45]

Answer:

Hello Adam here!

Step-by-step explanation:

The numbers that are represented by decimal numerals are the decimal fractions (sometimes called decimal numbers), that is, the rational numbers that may be expressed as a fraction whose denominator is a power of ten.

Hope This Helps From, Adam :)

7 0

3 years ago

Find the exact values of sin2 θ for cos θ = 3/18 on the interval 0° ≤ θ ≤ 90°

mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

6 0

3 years ago

Mrs. Nally's swimming pool is 10 feet by 6 feet. She paves the area around it with a sidewalk x feet wide, using 80 square feet

andrew11 [14]

Answer:

The sidewalk is 2 feet wide

Step-by-step explanation:

The area of the sidewalk is given as 80 square feet

The length and width of pool

including side walks will be;

10 + 2x and 6 + 2x

To get the area of the side walk

That will be area of total minus area of the pool

That will be ;

(10 + 2x)(6 + 2x) - 10(6) = 80

60 + 12x + 20x + 4x^2 - 60 = 80

4x^2 + 32x -80 = 0

x^2 + 8x -20

x^2 + 10x - 2x - 20 = 0

x(x + 10) -2(x + 10) = 0

(x-2)(x + 10) = 0

x = 2 or -10

since width cannot be negative;

The sidewalk is 2 feet wide

6 0

3 years ago