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3 years ago

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons

1 answer:

3 0

You would first learn how many weeks there are in a year which is 52
So you would multiply 52x156
Which equals 8112
Asher pays $8112 per year for piano lessons

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3 0

3 years ago

The function g(x) = 12,500(0.91)x represents the value of a piece of farm equipment after x years. Approximately when will its v

topjm [15]

Answer:

B. 7.3 years

Step-by-step explanation:

The question is wrong. The correct function is :

$g(x)=12500(0.91)^{x}$

We have the function $g(x)$ that represents the value of a piece of farm equipment after $x$ years.

This means that when $x=0$ its original value is :

$g(0)=12500(0.91)^{0}=12500$

Now we want to calculate approximately when will its value be half its original value. Then, we write :

$\frac{12500}{2}=6250$

$6250$ is half of its original value. We need to find $x$ that satisfies the following equation :

$g(x)=6250=12500(0.91)^{x}$

Solving for $x$ :

$6250=12500(0.91)^{x}$ ⇒

$0.5=(0.91)^{x}$

Now we apply natural logarithm to each side of the equation :

$ln(0.5)=ln[(0.91)^{x}]$

Using logarithm properties :

$ln(0.5)=ln[(0.91)^{x}]$ ⇒

$ln(0.5)=x[ln(0.91)]$

$x=\frac{ln(0.5)}{ln(0.91)}$ ⇒

$x$ ≅ $7.3496$

The correct option is B. 7.3 years

4 0

3 years ago

Do you flip the inequality sign, yes or no? Explain why –5x < 35

Ivahew [28]

Answer:

yes you flip the sign because you are diving by a negative

4 0

3 years ago

Ashley’s car insurance costs her $115 per month. How much does it cost her per year?

sladkih [1.3K]

Answer:

$1,380 per year.

Step-by-step explanation:

Theres 12 months in a year so multiplying $115 by 12 will get you $1,380 because she pays $115 per month.

4 0

3 years ago

The quotient of 24 and x equals 14 minus 2 times x

vaieri [72.5K]

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

$\frac{24}{x}$ = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4

5 0

3 years ago

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons￼￼￼

Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons