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2 years ago

7

calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly

1 answer:

ivann1987 [24]2 years ago

4 0

Answer:

9.725%

Step-by-step explanation:

(1.0475)^2 =1.09725

one year 2 periods 4.75% per period

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3 years ago

Pick the correct description of the line <br><br> 2x -4y=6

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Step-by-step explanation:

y= 1/2x-3/2

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2 years ago

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The biggest among three numbers is 2.4 larger than the smallest one. If 15 times the smallest one is equal to 12 times the secon

g100num [7]

Answer:

18

Step-by-step explanation:

Let x represent smallest number and y represent second number.

We have been given that the biggest among three numbers is 2.4 larger than the smallest one. So biggest number would be $x+2.4$ .

We are also told that 15 times the smallest one is equal to 12 times the second and 10 times the third. We can represent this information in equations as:

$15x=12y...(1)$

$15x=10(x+2.4)...(2)$

Upon solving 2nd equation, we will get:

$15x=10x+24$

$15x-10x=10x-10x+24$

$5x=24$

$x=\frac{24}{5}$

$x=4.8$

Therefore, the smallest number is 4.8.

The biggest number would be $x+2.4\Rightarrow 4.8+2.4=7.2$ .

Upon substituting $x=4.8$ in equation (1), we will get:

$15(4.8)=12y$

$72=12y$

$y=\frac{72}{12}$

$y=6$

Therefore, 2nd number would be 6.

Let us find sum of all numbers as:

$4.8+6+7.2=18$

Therefore, the sum of all 3 numbers would be 18.

5 0

2 years ago

Can you please help me olve theses

Mashcka [7]

<h3>Answer:</h3>

$f(x) = 0 \text{ when } x = \bold{1}$

$f(-7) =\bold{224}$

<h3>Step-by-step explanation:</h3>

Solving for the input, $\bold{x}$ , given the output:

Given:

$f(x) = 4x -4$

Solving for $x$ from the equation, $f(x) = 0$ :

$f(x) = 0 \\ 4x -4 = 0 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1$

Solving for the output, $\bold{f(x)}$ , given the input.

Given:

$f(x) = 4x^2 -4x$

Solving $f(-7)$ :

$f(-7) = 4(-7)^2 -4(-7) \\ f(-7) = 4(49) -4(-7) \\ f(-7) = 196 +28 \\ f(-7) = 224$

7 0

2 years ago