When making financial decisions, it is important that you critically evaluate the source. True False

The cost of a parking permit consists of a one-time administration fee plus a monthly fee. a permit purchased for 12 months cost

julsineya [31]

let

x--------> the monthly fee

y--------> the administration fee

we know that

$660=y+12x$ --------> equation $1$

$810=y+15x$ --------> equation $2$

Multiply by $-1$ equation $1$

$-660=-y-12x$ ------> equation $3$

Adds equation $2$ and equation $3$

$810=y+15x\\-660=-y-12x\\---------\\ 810-660=15x-12x\\ 3x=150\\ x=50\ dollars$

Find the value of y

$660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars$

therefore

the answer is

the administration fee is equal to $60\ dollars$

4 0

2 years ago

Read 2 more answers

Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).

Gnoma [55]

Answer:

(-3, -2)

Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

x - 4y = 5

x = 4y + 5

Now lets put that into the second equation

2x - 2y = -2

2(4y + 5) - 2y = -2

6y + 10 = -2

6y = -12

y = -2

Now lets find x!

x = 4y + 5

x = 4(-2) + 5

x = -3

Now lets format the answer like the question says (ordered pair)

(-3, -2)

Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.

3 0

2 years ago

Read 2 more answers

Match each pair of points with the coordinate that will make a right triangle with its hypotenuse along the graph shown.

MrRa [10]

1 is B
2 is C
3 is A
4 is E

It's a simple question if you use the graph. I recommend you plot the points, so hopefull you can see how i got the answers.

6 0

2 years ago

Graphs that represent situations that may not have numerical values are Called?

vovikov84 [41]

Qualitative graphs.

7 0

2 years ago

Multiply and give the answer in scientific notation:

kakasveta [241]

Step-by-step explanation:

given

$(1.5 \times {10}^{4} )(8 \times {10}^{8} )$

in order to make multiplication easier we need to change the 1.5 into a whole number form.

thus

$(15 \times {10}^{ - 1} \times {10}^{4} )(8 \times {10}^{8} )$

$= (15 \times {10}^{4 - 1} )(8 \times {10}^{8} )$

First law of indices applied there

=(15×10^3)(8×10^8)

=(15×8)(10^3×10^8)

=120×10^3+8 ( first law of indices, which states that , numbers of the same base multiplying each other, take one of the base and add the exponent. and clearly both 15 and 8 are in base 10

=120×10^11

=1.20×10^2 ×10^11

=1.20×10^11+2

=1.20×10^13

so the answer is alt B

7 0

2 years ago