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2 years ago

14

Dan borrowed $745 for new coffee table. He will make 10 monthly payments of $85 to repay the loan how much will he pay in intere

st

1 answer:

STatiana [176]2 years ago

5 0

Answer:

$105

Step-by-step explanation:

$85 x 10 = $850

minus $745 = 105

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2) Which expression is equivalent to:<br> y•y3•y2

Nastasia [14]

Answer:

y^6

Step-by-step explanation:

When multiplying terms with exponents that have the same base, the rule is to add the exponents. y * y^3 * y^2 = y^(1 + 3 + 2). (remember that y has a hidden exponent of 1, we just don't write that because it is redundant and unnecessary). y^(1 + 3 + 2) = y^6

hope this helps! <3

3 0

1 year ago

What is the radius of 81π square inches

MrRa [10]

It is 9 inches because the formula for the area of a circle is πr2 where the r represents the radius of the circle

The pi can be canceled out =

πr2 and 81 π leaving with

R2 and 81

The r2 represents a square number. So square root 81 and you would result in 9 as your answer

3 0

3 years ago

Find the coordinates of the endpoint of the image?

ra1l [238]

Given:

The graph of a line segment.

The line segment AB translated by the following rule:

$(x,y)\to (x+4,y-3)$

To find:

The coordinates of the end points of the line segment A'B'.

Solution:

From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).

We have,

$(x,y)\to (x+4,y-3)$

Using this rule, we get

$A(-2,-3)\to A'(-2+4,-3-3)$

$A(-2,-3)\to A'(2,-6)$

Similarly,

$B(4,-1)\to B'(4+4,-1-3)$

$B(4,-1)\to B'(8,-4)$

Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).

5 0

3 years ago

△HFM∼△PST

loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

$z=\frac{HF}{PS}$

substitute the given values

$z=\frac{14}{8}=1.75$

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

$P=8+9+12=29\ units$

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

so

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

so

$29(1.75)=50.75\ units$

6 0

3 years ago

Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Ex

polet [3.4K]

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y = -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

5 0

2 years ago