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g100num [7]
3 years ago
9

You win $10 000 in a Best Math Student competition. Being a generous person, you decide to invest the money in two local busines

ses to help them get off the ground. The businesses are Paul’s Paper and Tiffany’s Tyres. They offer the following annual interest rates return to encourage your investment;
PP – 10% p.a.

TT – 5% p.a.

The investment's combined return is $620 after one year. How much was invested in each company?
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

The amount invested in each company is :

  • Amount invested in PP = $2400
  • Amount invested in TT = $(10000 - 2400) = $7600

Using the simple interest relation:

Simple interest = principal × rate × time

Total amount = 10000

Let :

principal invested in PP = r

HENCE, amount invested in TT = 10000 - r

Total interest earned on both investments = $620

PP investment return + TT investment return = 620

(r × 10% × 1) + (10000 - r × 5% × 1) = 620

0.1r + 500 - 0.05r = 620

0.05r = 620 - 500

0.05r = 120

r = 120 / 0.05

r = 2400

Hence,

Amount invested in PP = $2400

Amount invested in TT = $(10000 - 2400) = $7600

Learn more : brainly.com/question/20014745?referrer=searchResults

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Answer:

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6 0
3 years ago
Need help with school
Scorpion4ik [409]

Answer:

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Step-by-step explanation:

Because it is a right triangle, you can use the Pythagorean theorem:

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5 0
2 years ago
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A 13-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to approxima
scZoUnD [109]

Answer: 12.65 ft

Pythagorean theorem is a^{2} + b^{2} = c^{2}

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Hope it helps.

4 0
3 years ago
The radius of a circular plate is 12 centimeters. What is the area, in square centimeters, of this plate? Write your Anwer using
lesya [120]

Answer:

The area of circular plate is <u>144π square centimeters</u>.

Step-by-step explanation :

<h3><u>Solution</u> :</h3>

Here, we have given that the radius of circular plate is 12 centimeters.

So, finding the area of circular plate by substituting the values in the formula :

\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12)}^{2}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12 \times 12)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(144)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi \times 144}}

\longrightarrow{\sf{Area_{(Circle)} = 144\pi}}

\star{\underline{\boxed{\frak{\purple{Area_{(Circle)} = 144\pi\:  {cm}^{2}}}}}}

Hence, the area of circular plate is 144π square centimeters.

\rule{300}{2.5}

5 0
2 years ago
For each pair of triangles,tell:(a) are they congruent(b)write the triangle congruency statement.(c) Give the postulate that mak
pychu [463]
All right...before we begin, let's lay some ground rules about the postulate your teacher asks for in every problem. <em>If you already know what they are, skip this paragraph...</em>

A postulate is a statement that claims how the triangles are congruent from looking at the paper. For example, on number 2 we have three sides of the triangle so we would use the postulate SSS (side, side, side). However, number one we would use SAS (side, angle, side) because we see the angle square showing it is a 90-degree angle.
Let's begin! (I haven't done triangles in a while so I apologize in advance if some of my answers might be incorrect on the congruent (yes or no) part of it.)

1.
A) From a visual perspective, we can see the triangles are congruent.
B) ABE = CDE because they are the corresponding points.
C) We can use SAS for the postulate.

2.
A) Yes, they are congruent.
B) OLE = OVE
C) We can use SSS for their postulate.

3.
A) Yes, they are congruent.
B) AWT = ERT
C) We can use SAS for the postulate.

4.
A) I believe the triangles are congruent. You might want to check me on that.
B) GFE = FGH
C) SSS

5.
A) They are congruent because if IH bisects it, it is directly in the middle. So, we know that WH = HS and IH = IH (duh.) and their angles match.
B) WHI = SHI
C) SAS

6.
A) This one is intriguing because it would state above the shape "LE bisects LGUE." I'm going to take that it isn't exactly in the middle, but I am still going to say it is congruent.
B) LGE = EUL
C) ASA

7.
A) Yes, they are definitely congruent.
B) RTU = TRS
C) SSS (We have nothing that indicates angles.)

8.
A) Yes, they are congruent.
B) YWV = VZY
C) We can use SAS. (Might want to check that one.)

9.
A) I would say this one is NOT congruent.
B) There are only two points. One way is HT = MA
C) They are not congruent, you can not use a postulate. However, if you teacher insists on putting one, I would use SAS.

Once again, I would be careful about my answers. I haven't worked with triangles in a few years. If my math is incorrect, or I didn't give the answer you were looking for, please let me know. However, if my math is on point, please consider marking as <em>Brainliest</em>.

Have a good one.
God Bless.
7 0
3 years ago
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