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3 years ago

7

Konnor earns $10 an hour mowing lawns. He spends $17 a day on fuel. Konnor's earnings can be represented by the linear relation

$10h - $17 = E, where h represents hours worked and E is Konnor's total earnings. If he works 9 hours a day, what are his earnings?

1 answer:

Ksenya-84 [330]3 years ago

6 0

10 an hour it is if you doing

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4. Tikili wants to invest $3500 at her local bank. She will receive an interest rate of 5% compounded

alexandr402 [8]

Answer:

$3863.35 = 3500(1 + \frac{0.05}{2} )^{(2 \times 2)}$

Step-by-step explanation:

The formula for this equation is

$a = p(1 + \frac{r}{n} )^{(n \times t)}$

a is the final result

p is the starting amount (deposited)

r is the interest rate

n is the number of times it's compounded

t is the time

because it says compound annually and it's after 2 years both t and n equal 2. I rounded a for you, but if you don't need it rounded here it is: 3863.345117

Please double check me I may be wrong, this is my second time doing these type of questions

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3 years ago

How am I supposed to figure this out if csc Theta(0) has a radical number on the top?

Harman [31]

$\bf csc(\theta)=\cfrac{hypotenuse}{opposite}\implies csc(\theta)=\cfrac{\sqrt{7}}{2}\cfrac{\leftarrow hypotenuse=c}{\leftarrow opposite=b}\\\\
-----------------------------\\\\
\textit{so hmm using the pythagorean theorem, we can say that}\\\\
c^2=a^2+b^2\implies \pm \sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
b=opposite\\
a=adjacent
\end{cases}\\\\
\textit{we'll assume is the + of the root, since you're not}\\
\textit{given further info on it, that means the I quadrant}\\\\
$

$\bf -----------------------------\\\\
cos(\theta)=\cfrac{a}{c}\qquad sec(\theta)=\cfrac{c}{a}\qquad tan(\theta)=\cfrac{b}{a}\qquad cot(\theta)\cfrac{a}{b}
$

so just find the "adjacent" side, using the pythagorean theorem, and even though the square root can give you +/-, use the positive one, assuming the angle is in the 1st quadrant

keeping in mind, that the 2nd quadrant is feasible as well, since the opposite side of +2 can also be in the 2nd quadrant

but anyhow, use the I quadrant

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3 years ago

The sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay

cluponka [151]

Answer:

$41.87

Step-by-step explanation:

5% of 837.41 = 0.05 × 837.41 = 41.8705

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3 years ago

Twelve synchronized swimmers are forming a circle. The location of those swimmers are (13,-2) (-1,-2) and (6,-9). A 4th swimmer

lina2011 [118]

Let the location of the center (x,y)
let the distance between center and point (13,-2) = d₁
let the distance between center and point (-1,-2) = d₂
let the distance between center and point (6,-9) = d₃

The condition of the circle is d₁ = d₂ = d₃
Making two equations to find x , y

d₁² = d₂²
∴ (x-13)² + (y+2)² = (x+1)² + (y+2)²
∴ (x-13)² = (x+1)²
∴ x-13 = $\pm$ (x+1) ⇒⇒⇒ positive sign unacceptable
∴ x-13 = -(x+1)
∴ x = 6

d₁² = d₃²
∴ (x-13)² + (y+2)² = (x-6)² + (y+9)²
substituting with x and simplifying the equation
∴ y = -2

∴center = (6,-2)

<span>The center swimmers need to be located at (6,-2)</span>

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4 years ago

Draw the image of a triangle with vertices (2, 1), (3, 3), and (5, 1). Then perform the

NARA [144]

Answer:

It would be B

Step-by-step explanation:

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