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3 years ago

8

Find the percent increase or decrease for each of the following values (Indicate whether each is an increase or a decrease). y t

o 0.78y

1 answer:

ehidna [41]3 years ago

5 0

Answer:

y to 0.78y is a decrease

Step-by-step explanation:

y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.

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Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his i

lidiya [134]

Answer:

Therefore 6th year his income was $19,700.

Step-by-step explanation:

Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th year his income was $17,900.

A=$17900, P= $15,200 and n = 3 year

$A= P(1+\frac{r}{100} )^n$

$\Leftrightarrow 17900=15200(1+\frac{r}{100})^3$

$\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}$

$\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }$

$\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1$

$\Leftrightarrow r=5.60$

Let $t^{th}$ year Joe's income was $19,700.

$\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}$

$\Leftrightarrow 1.296= (1+0.056)^{t-1}$

$\Leftrightarrow 1.296= (1.056)^{t-1}$

$\Leftrightarrow log(1.296)= (t-1)log(1.056)$

$\Leftrightarrow \frac{log(1.296)}{log(1.056)}= (t-1)$

$\Leftrightarrow t-1= 4.75$

$\Leftrightarrow t= 4.75+1$

$\Leftrightarrow t = 5.75$ ≈6

Therefore 6th year his income was $19,700.

8 0

3 years ago

Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.

ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

$\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16$

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0

2 years ago

How do I answer the question?

Sholpan [36]

Its b hope it helps good luck

5 0

3 years ago

Heyyy pls help w this ( used all my points )

Katyanochek1 [597]

Answer:
1) 20
2) -3
3) x+18y
4) x=-18

8 0

3 years ago

Read 2 more answers

If l is parallel to m find the value of x

crimeas [40]

Answer:

5.3

Step-by-step explanation:

5x-16=2x

x=16/3 or 5.33333333333

3 0

3 years ago