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3 years ago

Evaluate: 2x +3y = 4 -7x + 3y = -1

Mathematics

1 answer:

jolli1 [7]3 years ago

3 0

We solving for x or y

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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

If x*x-2x-35=0 then x=?

alexandr1967 [171]

Answer:

x=7 x=-5

Step-by-step explanation:

x^2 -2x-35 = 0

Factor

What two numbers multiply to -35 and add to -2

-7*5 = -35

-7+5 = -2

(x-7) (x+5) =0

Using the zero product property

x-7 =0 x+5 =0

x=7 x=-5

8 0

3 years ago

Read 2 more answers

Help me please and thank you .

antoniya [11.8K]

The answer would be 4:2

5 0

3 years ago

The weight of 10,000 identical samples is 100 pounds. what is the weight of 10 samples

Ann [662]

We can write a proportion

10,000 identical samples is 100 pounds

10 identical samples is x pounds

10000/10 = 100/x

10000x=10*100

x=1000/10000=1/10=0.1

x=0.1 pound

10 samples have the weight 0.1 pound.

6 0

3 years ago

Graph the line: y= - 1/2 x+4

Gala2k [10]

Put a point at (0,4) then go down 1 and over 2 and there's another point. Connect the 2.

7 0

4 years ago