Consider the following two loans for P=$12,000.

Loan A: 5 year loan, annual interest rate of 5%.
Loan B: 3 year loan, annual interest rate of 8%.

Answer:

(137.75 - 15.25)/24.5=x

122.5/24/5=x

5=x

x= number of friends who can go to the amusement park

Step-by-step explanation:

137.75 is the total amount of money.

First, we need to subtract 15.25 because this money is going to be spent on parking.

Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.

Hope this helped!

By solving a linear equation we will see that 5 people can go to the amusement park.

We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:

$137.75 - $15.25 = $122.50

Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:

y = $122.50 - $24.50*x

To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).

$0 = $122.50 - $24.50*x

$24.50*x = $122.50

x = $122.50/$24.50 = 5

So with that amount of money, 5 people can go to the amusement park.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = [tex]\frac{p*t*r}{100}[/tex]

             I = [tex]\frac{300*4*3}{100}[/tex]

             I = [tex]\frac{3600}{100}[/tex]

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

Answer:

f:x=1

Step-by-step explanation:

6x-1=5

6x/6=6/6

f:x=1

Answer:

7√ 121

Step-by-step explanation:

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

Step-by-step explanation:

Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3

Answer:

y = -0.1x^2

Step-by-step explanation:

Start out with vertex form

y = a(x - h)^2 + k

The vertex at the origin

Therefor (h, k) = (0, 0)

y = ax^2

use point (20, -40) to find a

-40 = a(20^2)

-40 = a(400)

Divide both sides by

400

-0.1 = a

Therefor

y = -0.1x^2

This is standard form with a = -.01 and both b and c equal to zero

Answer:

20

Step-by-step explanation:

10 x 1 = 10. 10 x 2 = 20.

Answer:

20

Step-by-step explanation:

10 x 1 = 10

Then, 10 x 2 = 20

Answer: (a.) -19  (b.) 78

Step-by-step explanation:

(a.) -33+14= -19       (b.) 75 - x = 78

(b.) 75 to zero = 75     Zero to -3

is 3 points behind zero, this make more distance from 75 so…

(b.) 75+3 = 78

Answer:

h=4

Step-by-step explanation:

the height can't be smaller than 3 and higher than 5, you're making a hypothesis.

Answer:

1776

Step-by-step explanation:

Answer:

nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.

Step-by-step explanation:

Answer: 80 minutes

Step-by-step explanation:in the picture

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

are you sloving the x? or what are you sloving

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Both f's would be equal to 1 so 2

Answer:

it depends.

Step-by-step explanation:

we have to know what f means to be able to answer this question

Step-by-step explanation:

Let's rewrite the original equation as

[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]

or in standard form, our equation becomes

[tex]2x - y = -8[/tex]

where A = 2, B = -1 and C = -8

Step-by-step explanation:

42 people per minute

how many minutes for 15000 people ?

well, how often does 42 fit into 15000 ?

15000/42 = 357.1428571... minutes

and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.

so, we have 358 minutes.

and that is in hours, as 1 hour = 60 minutes

358/60 = 5.9... hours

so, the rounded answer is 6 hours.

Answer:

63/5

Step-by-step explanation:

The reciprocal of a fraction is basically just the flipped fraction. In this case, you would just flip the numerator with the denominator, giving you 63/5.

Answer:

70% of adults do not have allergies.

Step-by-step explanation:

It states that 35 out of 50 adults do not have allergies. If we turn this into a fraction (35/50), we can then multiply the denominator by 2 to make it 100. We would then also multiply the numerator by 2.

35 x 2 =70

70/100 = .7

.7 is just the decimal form of 70%

Answer: 77 hamburgers

Step-by-step explanation:

You can write an equation for this problem

x= hamburgers

2x= cheeseburgers

x+2x=231

3x=231

x=77

9514 1404 393

Answer:

  x = 1/4(y -4)² +7

Step-by-step explanation:

A parabola can have the equation ...

  x = 1/(4p)(y -k)² +h

where the vertex is (h, k), and the vertex-to-focus distance is p.

The vertex is halfway between the focus and directrix, so has coordinates ...

  ((8, 4) +(6, 4))/2 = (7, 4)

The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...

  x = 1/4(y -4)² +7

Answer:

The answer is c I hope this helps

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

m =(y2 -y1)/(x2 - x1)

Using the points on the graph, we have:

m =(3 - 1)/(1 - 0)

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

https://brainly.com/question/14323743

Answer:

it is continues

Step-by-step explanation:

it is continues

Answer:

It has length, but not width and depth

Answer:

(3a4 + 4)2

= (12a+4)2

= 24a+8

Answer:

A is the equavelent expression

Option B