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3 years ago

Please help!

Mathematics

1 answer:

lana [24]3 years ago

6 0

Given Information:

Principle amount = P = $6,000

Interest rate = r = 4% = 0.04

Period in years = t = 5

Required Information:

How much interest will he earn in 5 years = ?

Answer:

Amount of interest = $1,299.92

Step-by-step explanation:

Using the formula given in the question,

$B = P(1 + r )^{t}$

Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years

$B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92$

The amount of interest earned is

$Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92$

Therefore, Quincy has earned $1,299.92 in terms of interest by investing $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.

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Dec 23, 8:45:08 PM

Gemiola [76]

Answer:

3, 5, 7

Step-by-step explanation:

Let the first of the three positive consecutive odd numbers be $x$ .

Now, the second odd number = $x+2\\$

And, the third odd number = $x+4$

As per question statement, the multiplication of the first and third odd number is 9 lesser than the 6 times the second integer.

Writing the equation, we get:

$x(x+4) = 6(x+2)-9\\\Rightarrow x^{2} +4x=6x+12-9\\\Rightarrow x^{2} +4x-6x = 3\\\Rightarrow x^{2} -2x - 3=0\\\text{Solving the above equation by factorization method:}\\\Rightarrow x^{2} -3x +x - 3=0\\\Rightarrow x(x -3) + 1(x - 3)=0\\\Rightarrow (x -3) (x+ 1)=0\\\Rightarrow x =3, -1$

As, we got a quadratic equation, so we have two solutions here.

One is positive integer and other one is negative.

So, solution is $x=3$

First number is 3.

Second number is 3 + 2 = 5

Third number is 5 + 2 = 7

3 0

3 years ago

The bottom of a boat lles 7 feet below the surface of the water the boat stands 18 feet above the surface of the water.

ASHA 777 [7]

Answer:

18-(-7)

Step-by-step explanation:

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3 years ago

The difference of d minus 3 divided by 2?

Allisa [31]

$\text{Hey there!}$

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