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2 years ago

10

If their food and beverages cost 25.30 and there is an 8% meals tax, how much is the bill?

1 answer:

pentagon [3]2 years ago

7 0

25.3 × 1.08
27.324

The total bill is $27.32

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Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months

Sonja [21]

$8,400
Explanation:
Amount repaid each month = $150
Number of Periods for which amount was paid = 10 months
Amount left after 10 months payment = $6900
The total amount paid = $150 × 10 = $1500
Amount left = $6900
Total debt amount:
(Total Amount left + total amount paid )
$(6900 + 1500)

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2 years ago

9. Find the area of the shaded region below,

Mumz [18]

Answer:

80

Step-by-step explanation

12x12 divided by 9 x 5

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3 years ago

A 25.8 gallon fish tank is 5/6 full. How many gallons will it take to fill the tank?

svlad2 [7]

The answer to fill the tank is 5.16

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3 years ago

Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola: $y=k (x-\frac13)^2$

<u />

<u>Part 1</u>

If the curve passes through point $(\frac23 ,1)$ , this means that when $x=\dfrac23$ , $y = 1$

Substitute these values into the equation and solve for $k$ :

$\implies 1=k \left(\dfrac23-\dfrac13\right)^2$

$\implies 1=k \left(\dfrac13 \right)^2$

Apply the exponent rule $\left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c}$ :

$\implies 1=k \left(\dfrac{1^2}{3^2} \right)$

$\implies 1=\dfrac{1}{9}k$

$\implies k=9$

<u>Part 2</u>

The chord of a parabola is a line segment whose endpoints are points on the parabola.

We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

$\implies \pm \dfrac13 = x-\dfrac13$

$\implies x=\dfrac23, x=0$

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:

$\implies \dfrac23-0=\dfrac23$

**Please see attached diagram for drawn graph. Chord is in red**

6 0

1 year ago

Can someone please help me with this one? Oh and in the boxes I need to put a number NOT a check mark.

kari74 [83]

Grade 7 : Yes = 2 , No = 3
Grade 8 : Yes = 1 , No = 4

3 0

2 years ago