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2 years ago

You invest $24,000 at a simple interest rate of 12% for 9 years, and your

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

8 0

Answer:

The principal is $2400

Step-by-step explanation:

Given

$P = \$24000$

$t = 9$

$r =12\%$

$I = \$25920$

Required

The principal amount

The principal amount is the amount invested.

From the question, we understand that $24000 was invested.

Hence, the principal is $24000

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Which would not be a step in solving 5x + 15 + 2x = 24 + 4x?

Alona [7]

Use distributive property.

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2 years ago

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denis23 [38]

Answer:

$B = 325$

Step-by-step explanation:

Given

Total = 900

Singing = 600

Dancing = 500

None = 125

Required

Determine the number of students that participate in both

Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;

In Set Notation;

$Total = (S - B) + (D - B) + N + B$

Substitute 900 for Total, 600 for S, 500 for D and 125 for N

$900 = (600 - B) + (500 - B) + 125$

Open Brackets

$900 = 600 - B + 500 - B + 125 + B$

Collect Like Terms

$900 = 600 + 500 + 125 - B - B + B$

$900 = 1225- B - B + B$

$900 = 1225- B$

Collect Like Terms

$900 - 1225 = -B$

$-325 = -B$

Multiply both sides by -1

$-1 * -325 = -B * -1$

$325 = B$

Reorder

$B = 325$

<em>Hence, the number of students that do not participate in both is 325</em>

4 0

2 years ago

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

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2 years ago

Write down all the Subsets of {20,40}

Arte-miy333 [17]

Answer:

{20}, {40}, {20,40}, { }

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2 years ago

Pls Help im in a hurrry

qwelly [4]

6 1/4 mark bainliest plzzz

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2 years ago

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