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2 years ago

Given that a = 10,

Mathematics

1 answer:

tankabanditka [31]2 years ago

3 0

Since $a = 10$ and $b = 2x + 5$ , we have

$ab=10(2x+5)=20x+50$

So, the equation becomes

$ab = 6x^2 +11x-10 \iff 20x+50= 6x^2 +11x-10 \iff 6x^2-9x-60=0$

The solutions to this equation are 4 and -5/2, so I'm afraid there's a typo in your question.

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Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9

insens350 [35]

Answer:

<u>The annual interest rate was 4%</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

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3 years ago

What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?

Leviafan [203]

Answer:

C -36

Step-by-step explanation:

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2 years ago

What is the converse of t > r

Anettt [7]

The converse of t > r is r > t

<h3>What is a converse statement?</h3>

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

x is the hypothesis
y is the conclusion

Given the expression as;

t > r

We can see that;

The variable 't' is the hypothesis
The variable 'r' is the conclusion

The converse will be;

r > t

Hence, the converse is r > t

Learn more about converse statement here:

brainly.com/question/3965750

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1 year ago

What is the area of the following shape? Do not put units.

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Answer:

Area = 30

Step-by-step explanation:

Add the two sides

8 + 4 = 12

Multiply that number by the height

12 × 5 = 60

Divide that number by 2

60 ÷ 2 = 30

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2 years ago

Cheyenne multiplied three numbers together and divided by 4. The result was a negative value. Which of the following statements

STALIN [3.7K]

An odd number of factors were negative because if 1 number was negative and 2 were positive, positive times positive is positive. The answer times a negative number would be negative.

(positive times negative is negative0

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3 years ago