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1 year ago

You are ordering $279 of goods from a vendor. The vendor offers a 3% discount for payment within 30 days. Assume

1 answer:

4 0

You are ordering $279 of goods from a vendor. The vendor offers a 3% discount for payment within 30 days. Assuming that you will take advantage of this discount. Shipping is $10-The total amount of the order is $280.63

Step-by-step explanation:

Ordered amount = $279

Discount percentage = 3%

3% of 279 = 3/100(279) =$ 8.37

Amount after discount = $279- $8.37 - = $270.63

Shipping charges = $10

Hence, the total amount = 270.63 + 10 = 280.63

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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers

kherson [118]

Answer: 0.65

Step-by-step explanation:

Let A denote that moviegoers were female and B denotes that moviegoers were under age 25.

As per given we have,

P(A)=0.56 P(B)=0.26 P(A∩B)=0.17

Using formula ,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\ P(A\cup B)=0.56+0.26-0.17=0.65$

Hence, the probability that a moviegoer is either female or under age 25 = 0.65

6 0

1 year ago

The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of va

kow [346]

Answer:

$16\ acres$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{551,520}{20}=\$27,576\ per\ acre$

The linear equation is equal to

$y=27,576x$

Find out how many acres are on a farm with a total operating cost of $441,216

For y=$441,216

substitute in the linear equation the value of y and solve for x

$441,216=27,576x$

$x=441,216/27,576$

$x=16\ acres$

5 0

2 years ago

Read 2 more answers

Moussa's family took a road trip to the Grand Canyon. Moussa fell asleep after they

Alisiya [41]

Answer:

38%

Step-by-step explanation:

So first you need to find what 434/700 is because that is when she fell asleep. Divide each side by 2 to get 217/350. Use division to find the decimal. Once you are done with that, you get 0.62. You then subtract 0.62 from 1 because that is the amount of when she fell asleep. 1-0.62=0.38. 0.38 is also 38% so Moussa fell asleep for 38% of the trip.

Hopefully this helps you

4 0

1 year ago

WILL GIVE BRAINLIEST ANSWER!!

Natasha2012 [34]

Check the picture below.

now, bear in mind that, there are 60minutes in 1 degree, so 23' is just 23/60 degrees or about 0.38 degrees.

and 29' is just 29/60 degrees or about 0.48 degrees.

so 16°23' is about 16.38°, and 49°29' is about 49.48°

$\bf tan(16.38^o)=\cfrac{200}{a+b}\implies a+b=\cfrac{200}{tan(16.38^o)}
\\\\\\
\boxed{b=\cfrac{200}{tan(16.38^o)}-a}
\\\\\\
tan(49.48^o)=\cfrac{200}{b}\implies \boxed{b=\cfrac{200}{tan(49.48^o)}}\\\\
-------------------------------\\\\
\cfrac{200}{tan(49.48^o)}=\cfrac{200}{tan(16.38^o)}-a\\\\\\a=\cfrac{200}{tan(16.38^o)}-\cfrac{200}{tan(49.48^o)}$

make sure your calculator is in Degree mode.