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m_a_m_a [10]
2 years ago
9

Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500. The installment plan requir

es a down payment of 12%. How much will Mrs. Smith have to pay at the time of purchase (not including taxes)? A. $120 B. $150 C. $180 D. $1,200
Mathematics
1 answer:
kramer2 years ago
8 0

Option C) Smith have to pay $180 at the time of purchase.

<u>Step-by-step explanation:</u>

Mrs. Smith wants to use an installment plan to buy a washing machine and dryer set priced at $1,500.

  • Therefore, the total cost = $1500
  • The down payment for the installment plan is 12%.

We need to find the payment amount at the time of purchase.

This can be calculated by finding the 12% of the total price $1500.

Smith have to pay at the time of purchase = 12% of 1500

⇒ (12/100) × 1500

⇒ 12 × 15

⇒ 180

Hence, option C) $180 is the amount need to be paid by the Smith at the time of purchase.

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Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y a
pickupchik [31]

Answer:

The correct option is;

An isosceles triangle

Step-by-step explanation:

The parameters given are;

Line segments XY and ZY are tangents to circle O.

ΔXYZ has points X and Z on the circle.

XY and ZY are tangents that intersect at point Y outside the circle'

Therefore, given the circle has center O, then;

OY ≅ OZ = Radius of circle with center O

∠OXY ≅ ∠OZY = 90°  (The radius line from the circle center to the tangent point is perpendicular)

OY ≅ OY (Reflexive property)

ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°

ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)

Therefore;

XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Triangle XYZ is an isosceles triangle (Triangle with two equal sides).

4 0
2 years ago
A researcher is testing how bacterial cells react to different environments. She placed a petri dish that initially had 32,000 b
Nataly [62]

<u>Solution- </u>

A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.

This can be represented as exponential decreasing function,

y=a(1 - r)^x

Where,

  • a = starting amount  = 32000
  • r = rate  = 50% = 0.5 as the sample becomes halved in each hour
  • x = hours

Putting the values,

\Rightarrow y=32000(1 - 0.5)^x

\Rightarrow y=32000(0.5)^x

y-intercept means, where x=0, so

\Rightarrow y=32000(0.5)^0\\\\\Rightarrow y=32000\times 1=32000

The coordinate of this poin will be (0, 32000)

This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

After 3 hours, number of bacteria cells will be,

\Rightarrow y=32000(0.5)^3

\Rightarrow y=32000\times 0.125

\Rightarrow y=4000

The  coordinate of this point will be (3, 4000)

7 0
2 years ago
The student senate at a local university is about to hold elections. A representative from the women’s sports program and a repr
Amanda [17]

Answer: H0: p1 ≤ p2, Ha: p1 > p2

Step-by-step explanation:

According to the information obtained, we can say that the hypothesis that determines that the percentages of support votes are different between the two incumbent candidates is as follows

H0: p1 ≤ p2, Ha: p1> p2

where the null hypothesis represents the difference between proportions

6 0
2 years ago
Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2? A. 6 units left an
VikaD [51]

Answer:

A. 6 units left and 9 units down

Step-by-step explanation:

Given:

y = (x – 5)^2 + 7

y = (x +1)^2 - 2

The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up

The graph of y =  (x +1)^2 - 2 is a parabola 1 unit left and 2 units down

Transformation is the difference in the shift

Transformation = 6 units left and 9 units down.

Therefore, answer A. 6 units left and 9 units down

Hope this will helpful.

Thank you.

4 0
2 years ago
Read 2 more answers
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Nata [24]
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7 0
2 years ago
Read 2 more answers
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