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Nadusha1986 [10]
3 years ago
13

Ms. Pecho currently owes $637.50 simple interest

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

Step-by-step explanation:1

1/2 years which is 1 year and 5 months.

Explanation:

The formula for simple interest is

You can either substitute the given values first and the solve for

T, or you can transpose the formula to have

T as the subject.

T=100xSIPR

T=100 x 637.50

T=100×637.502500×17

T=1.5

As time is always in years, this means it was for

112 years which is 1 year and 5

months

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How would I determine whether AB is tangent to oc?<br> The o is a circle dot
icang [17]

Answer:

see explanation

Step-by-step explanation:

If AB is a tangent then ∠ ABC = 90° and Δ ABC is right

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides.

15 is the longest side and 15² = 225

9² + 12² = 81 + 144 = 225

Thus Δ ABC is a right triangle at B

Thus AB is a tangent to the circle at B

3 0
3 years ago
Find the surface area of the composite figure.
zhuklara [117]

Answer:

438.97 cm²

Step-by-step explanation:

To find the surface area, we break up the figure into two pieces(blue and yellow) and then add them together.

SA = 2(w · l + h · l + h · w)

2 · (6 · 16 + 4 · 16 + 4 · 6)

368 cm²

70.97 cm² + 368 cm²

438.97 cm²

5 0
2 years ago
bre makes 2 pounds of bread dough he separates the dough in 1/4 pound loaves before baking them in the oven how many loaves does
3241004551 [841]
That would be 8. 1/4 goes into 1 4 times so it goes into 2 8 times.
8 0
3 years ago
Read 2 more answers
What is the length of the hypoyenuse of a right triangle if each of the two legs is 4 units?
frosja888 [35]
5.65685 should work
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3 years ago
Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,
MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

       $=0-0+6$

       $=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

   It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴  x coordinate = $\frac{-(-7)}{2 \times 1} $

                         $\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

         = -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get   $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts  are the points where the parabola crosses the x-axis, which is the height $h(x)=0$. The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$.

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0
2 years ago
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