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tatyana61 [14]
3 years ago
7

Nancy’s parents gave her $200 to start her savings account. After 5 months of saving, Nancy has $350 in her account. What is the

rate of change of the amount of money in her account each month?
Mathematics
2 answers:
Viktor [21]3 years ago
7 0
Current Amount = Starting Amount (1 + rate of change)^number of months
350 = 200 ( 1 + r)^5
350/200 = (1+r)^5
sqrt5 (350/200) = 1+r
sqrt5 (350/200) - 1 = r
horrorfan [7]3 years ago
5 0
30 dollars every month

200+ 5x = 350

X=30
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Write the equation of the line graphed below in Point-Slope form. Use the point labeled on the graph. State the slope and point.
saw5 [17]

Given:

The graph of a line.

To find:

The point-slope form of the given line.

Solution:

From the given graph it is clear that the line passes through the point (1,5) and (0,-1). So, the slope of the line is:

m=\dfrac{y_2-y_1}{x_2-x_1}

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6 0
3 years ago
Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y
kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

substitute in the formula

d=\sqrt{(5-2)^{2}+(2-0)^{2}}

d=\sqrt{(3)^{2}+(2)^{2}}

dAB=\sqrt{13}\ units

step 2

Find the distance BC

substitute in the formula

d=\sqrt{(7-5)^{2}+(-1-2)^{2}}

d=\sqrt{(2)^{2}+(-3)^{2}}

dBC=\sqrt{13}\ units

step 3

Find the distance AC

substitute in the formula

d=\sqrt{(7-2)^{2}+(-1-0)^{2}}

d=\sqrt{(5)^{2}+(-1)^{2}}

dAC=\sqrt{26}\ units

step 4

Compare the length sides

dAB=\sqrt{13}\ units

dBC=\sqrt{13}\ units

dAC=\sqrt{26}\ units

dAB=dBC

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

(AC)^{2} =(AB)^{2}+(BC)^{2}

substitute

(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}

26=13+13

26=26 -----> is true

therefore

Is an isosceles right triangle

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Answer:

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Step-by-step explanation:

Please find the attached document for explanation.

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