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RUDIKE [14]
3 years ago
10

A limited-edition soccer ball costs $30, and the sales tax is 6%. What is the total cost?

Mathematics
2 answers:
frez [133]3 years ago
6 0

Answer:

$31.80

Step-by-step explanation:

The ball will cost 100% of its price plus 6% of its price for a total of 106%.

To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.

Multiply the cost of the ball by your multiplication factor:

30 x 1.06 = 31.8

Money is written to two decimal places, making your answer $31.80

kipiarov [429]3 years ago
4 0

Answer:

$31.8

Step-by-step explanation:

$30 x (1+6%)

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Sarah drives at a speed of 70 miles per hour how long will it take to drive 385 miles?
Nostrana [21]

Answer:

5.5 hours

Step-by-step explanation:

For this problem, we have to divide.

385 ÷ 70 = 5.5

Your answer would be 5.5

7 0
3 years ago
Consider the differential equation y'' − y' − 12y = 0. Verify that the functions e−3x and e4x form a fundamental set of solution
Inga [223]

Answer:

e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation

y'' - y' - 12y = 0.

Since their wronskian is 7e^x and not 0

Step-by-step explanation:

Given the differential equation

y'' - y' - 12y = 0.

We are required to verify that the functions e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation on the interval (−[infinity], [infinity]). They form a fundamental set if they are linearly independent, and they are linearly independent if their wronkian is not zero, otherwise, they are linearly dependent.

Now, we need to find the Wronskian of e^(-3x) and e^(4x), and see if it is equal to zero or not.

The wrinkles of two functions y1 and y2 is given as the determinant

W(y1, y2) = |y1...........y2|

......................|y1'.........y2'|

W(e^(-3x), e^(4x))

= |e^(-3x)............e^(4x)|

...|-3e^(-3x)......4e^(4x)|

= e^(-3x) × 4e^(4x) - (-3e^(-3x) × e^(4x))

= 4e^x + 3e^x

= 7e^x

≠ 0

Since the wronskian is not zero, we conclude that the are linearly independent, and hence, form a set of fundamental solution.

3 0
3 years ago
7thh grade math help me plzzzzzzz
Grace [21]

Answer:

aren't sufficiently brief

Step-by-step explanation:

The irony is when he was supposed to write a "brief" summary

4 0
3 years ago
Consider the points A(-2,-1), B(4,-1), C(3,0), and D(3,5). Are segment AB and CD<br> congruent?
Iteru [2.4K]
I think the answer is yes?
7 0
3 years ago
While going on a field trip, a busload od 54 students will have to be split up into three groups. Two thirds will go into lunch
Helen [10]

Number of students on the bus = 54

Students who will go to lunch first are =\frac{2}{3} of 54

=\frac{2}{3}\times54=36

Hence, 36 students will go first for lunch.


7 0
3 years ago
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