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anzhelika [568]
3 years ago
12

15q – 4r = 62 5q + 8r = 86

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

q = 6; r = 7

Step-by-step explanation:

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Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest
Len [333]

The annual rate of interest per year is 8%

<u>Solution:</u>

Given:- Principal (p) = 4600 rupees, Time –Period (t) = 5 years, Total amount(A) = 6440 rupees

First we will calculate the Interest and then using formula of simple interest we will calculate the rate of interest

Interest = Amount – Principal

Interest = 6440  – 4600 = 1840

Now using the formula of simple Interest and on putting values we get,

\text {Simple Interest }=\frac{P \times R \times T}{100}

Where "P" is the principal and "R" is the rate of interest per annum and "T" is the time period

1840=\frac{4600 \times R \times 5}{100}

\begin{aligned} \mathrm{R} &=\frac{1840 \times 100}{4600 \times 5} \\\\ \mathrm{R} &=\frac{1840}{230} \\\\ \mathrm{R} &=8 \% \end{aligned}

Hence, the required rate of interest per year is 8%

6 0
3 years ago
Based on the diagram, which expresses all possible
qaws [65]

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

<h3>Properties of a triangle</h3>

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

Learn more on the Properties of a triangle here: brainly.com/question/1851668

#SPJ1

3 0
1 year ago
757 divided by 68, the reamander, what is it?
egoroff_w [7]
68 can go into 757 11 times, the remainder would be 9

757÷68= 11 r 9 or 11 9/68
5 0
3 years ago
A rectangle has an area of 48
nika2105 [10]
Answer: i didnt understand the answer choice but the correct answer is 48/12=width. width=4

Step-by-step explanation:
as we know the area of a rectangle is area=length X width
so we plug in 48 as area and 12 as length

48=12 x width
48/12=width(divide both sides by 12)
6 0
2 years ago
Answers: A, B, C, D please answer right
soldier1979 [14.2K]

Answer:

Triangle C

Step-by-step explanation:

Because triangle C is in the same orientation, meaning it was not flipped, it is a simple translation.

3 0
2 years ago
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