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3 years ago

Someone plz help been stuck on this question for the last 2 hours

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Answer:

7% interest = $10,000
13% interest = $20,000

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000

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Ivahew [28]

Answer:

-45 $x^{2}$ -26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45 $x^{2}$ and -9x*4 = -36x
Step two: Put the answers together. That would leave us with -45 $x^{2}$ -36x.

Part two 10(x+3)

Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
Step two: Put the answers together. That would leave us with 10x+30

Part three solve

Step one: combine and put together what you have solved for. That would leave us with a -45 $x^{2}$ -36x+ 10x+30
Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
Step three: Write the equation in standard form. Therefore the answer is -45 $x^{2}$ -26x+30.

Let me know if anything is confusing!

5 0

3 years ago

Which of the following is the statement below describing? If a point is on the perpendicular bisector of a segment, then it is e

Bezzdna [24]

Answer:

Step-by-step explanation:

(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.

(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.

(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

$(Hypotenuse)^2=(Base)^2+(Perpendicular)^2$

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.

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4 years ago

Read 2 more answers

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horsena [70]

Answer:

x = {0, π/2, 3π/2, 2π}

Step-by-step explanation:

cotx cos x - cot x = 0
cotx( cosx - 1) = 0

1. cotx = 0

x = π/2 + πn
In the interval [0, 2π] we have π/2 and 3π/2

2. cosx = 1

x = 0 + 2πn
In the given interval we have 0 and 2π

So the solution set is:

x = {0, π/2, 3π/2, 2π}

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alekssr [168]

Answer:

A: 600=1.05x

B: 600=1.06x

Step-by-step explanation:

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DENIUS [597]

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