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3 years ago

The total cost of a $83.15 meal after a 20% tip

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer: $99.78

Step-by-step explanation:

If am being honest I just copied the other person :)

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The graph shows two lines, A and B. How many solutions are there for a pair of equations for lines A and B? Explain your answer.

lesya692 [45]

Answer:

There is only 1 solution

$(x,y) = (1,4)$

Step-by-step explanation:

Given

Lines A and B

Required

The number of solution for a pair of A and B

From the graph, lines A and B have only one point of intersection.

This point of intersection represents the solution

Since, there is only 1 point, there is only one solution.

And the solution is:

$(x,y) = (1,4)$

5 0

3 years ago

Find out how long it takes a $3,500 investment to double if it is invested at 7%

Gala2k [10]

Answer:

9.99 years

Step-by-step explanation:

P=$3,500

r=7%=0.07

n=4(quarterly)

A= double of $3,500=

$3,500×2=$7,000

t=?

A=p(1+r/n)^nt

$7,000=$3,500(1+0.07/4)^4t

$7,000=$3,500(1+0.0175)^4t

$7,000=$3,500(1.0175)^4t

Divide both sides by $3,500

2=(1.0175)^4t

Take the log to base 10 of both sides

log2=4t × log1.0175

0.30103=4t × 0.00753

0.30103=4(0.00753)t

0.30103=0.03012t

t=0.30103/0.03012

t=9.99435

Approximately

9.99 years

4 0

3 years ago

Is quadrilateral jklm the result of a dilation of quadrilateral abcd by a scale factor of 2? why or why not?

4vir4ik [10]

No. Because sides JM and KL have different slopes from sides AD and BC .

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

For AD:

We have the points A(2, -2) and D(1, -4). Substitute:

$m=\dfrac{-4-(-2)}{1-2}=\dfrac{-2}{-1}=2$

For JM:

We have the points J(4, -4) and M(2, -9). Substitute:

$m=\dfrac{-9-(-4)}{2-4}=\dfrac{-5}{-2}=2.5$

$2\neq2.5$

----------------------------------------

Another argument.

No. Because the MJ is not twice as long as AD.

The formula of the length of a segment:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AD:

$|AD|=\sqrt{(1-2)^2+(-4-(-2))^2}=\sqrt{(-1)^2+(-2)^2}=\sqrt{1+4}=\sqrt5$

The length of MJ:

$|MJ|=\sqrt{(2-4)^2+(-9-(-4))^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}$

$\sqrt{29}\neq2\sqrt5$

4 0

4 years ago

F(x) = [x]; g(x) = |x| + 6

Rufina [12.5K]

Answer:

|x| + 6

Step-by-step explanation:

For F= (x) substitute x with g(x) = |x| + 6

6 0

3 years ago

Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.

kow [346]

It is called:

Scientific notation rules

8 0

3 years ago

The total cost of a $83.15 meal after a 20% tip​

The total cost of a $83.15 meal after a 20% tip