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3 years ago

6

It costs $5 to become a member of a video game club. After that, video games 10 each with a 7% tax on each game. If you spent $6

9.20 TOTAL, how many video game did you buy?

2 answers:

Alinara [238K]3 years ago

5 0

Answer:

6 games

Step-by-step explanation:

Each game is 10.70 x 6 = 64.20+5=no change

Scrat [10]3 years ago

4 0

Answer:

6 video games

Step-by-step explanation:

69.20-5=64.20

10+(10*.07)=10.7

64.2/10.7=6

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A school has 200 students and spends $40 on supplies for each student. The principal expects the number of students to increase

Xelga [282]

Answer:

$\mathbf{S(t)=200(\frac{105}{100})^{x}}$

$\mathbf{A(t)=40(\frac{98}{100})^{x}}$

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

Step-by-step explanation:

<h3>The predicted number of students over time, S(t) </h3>

Rate of increment is 5% per year.

A function 'S(t)' which gives the number of students in school after 't' years.

S(0) means the initial year when the number of students is 200.

S(0) = 200

S(1) means the number of students in school after one year when the number increased by 5% than previous year which is 200.

S(1) = 200 + 5% of 200 = $200+\frac{5}{100}\time200$ = $200(1+\frac{5}{100})$ = $200(\frac{105}{100})$

S(2) means the number of students in school after two year when the number increased by 5% than previous year which is S(1)

S(2) = S(1) + 5% of S(1) = $\textrm{S}(1)(\frac{105}{100})$ = $200(\frac{105}{100})(\frac{105}{100})$ = $200(\frac{105}{100})^{2}$

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.

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Similarly $\mathbf{S(x)=200(\frac{105}{100})^{x}}$

<h3>The predicted amount spent per student over time, A(t) </h3>

Rate of decrements is 2% per year.

A function 'A(t)' which gives the amount spend on each student in school after 't' years.

A(0) means the initial year when the number of students is 40.

A(0) = 40

A(1) means the amount spend on each student in school after one year when the amount decreased by 2% than previous year which is 40.

A(1) = 40 + 2% of 40 = $40-\frac{2}{100}\time40$ = $40(1-\frac{2}{100})$ = $40(\frac{98}{100})$

A(2) means the amount spend on each student in school after two year when the amount decreased by 2% than previous year which is A(1)

A(2) = A(1) + 2% of A(1) = $\textrm{A}(1)(\frac{98}{100})$ = $40(\frac{98}{100})(\frac{98}{100})$ = $40(\frac{98}{100})^{2}$

.

.

.

.

.

Similarly $\mathbf{A(x)=40(\frac{98}{100})^{x}}$

<h3>The predicted total expense for supplies each year over time, E(t)</h3>

Total expense = (number of students) × (amount spend on each student)

E(t) = S(t) × A(t)

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

$\mathbf{E(t)=8000(\frac{10290}{10000})^{x}}$

(NOTE : The value of x in all the above equation is between zero(0) to ten(10).)

6 0

3 years ago

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If a person rows to his favorite fishing spot 14 miles downstream in the same amount of time that he rows 2 miles upstream and i

Maru [420]

We will use distance formula which states:

$d=r \times t$

where 'd' is the distance, 'r' is rate or speed and 't' is time taken.

So, $t=\frac{d}{r}$

Let 'u' be the speed of boat in still water.

A person rows 14 miles downstream to the fishing spot.

So, the speed of boat downstream = (u+6) mph

Time taken by boat to go downstream = $\frac{14}{u+6}$ hr

He rows 2 miles upstream from the fishing spot.

So, the speed of boat upstream = (u-6) mph

Time taken by boat to go upstream = $\frac{2}{u-6}$ hr

Since, The person took same amount of time in going downstream and then going upstream.

So, $\frac{14}{u+6}=\frac{2}{u-6}$

Cross multiplying, we get

$14 (u-6)= 2(u+6)$

$14u - 84 = 2u + 12$

$12u = 96$

u = 8

So, speed of boat in still water is 8mph.

Now, Time taken in going downstream = $\frac{14}{u+6}$

= $\frac{14}{8+6}$

= 1 hr

Now, Time taken in going upstream = $\frac{2}{u-6}$

= $\frac{2}{8-6}$

= 1 hr

So, total time taken to cover 16 miles is 2 hours.

8 0

3 years ago

The perimeter of the triangle is 45. Find the value of x.

statuscvo [17]

Answer:

2.6

Step-by-step explanation:

7 0

3 years ago

Please help one problem I’ll give brainliest..

strojnjashka [21]

Answer:

Your answer is infinitely many solutions

Step-by-step explanation:

To use elimination you have to get one of the variables to be the opposite of each other, so here you would do:

-2(2x+y = 7)

4x+2y= 14

You multiply the top by -2 to get the opposite of 2y, which is -2y. This in turn multiplies everything by -2 on the top solution giving us the top equation below.

-4x-2y = -14

+ 4x+2y = 14

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

0 = 0

If you add those 2 solutions then you get 0 = 0, which is infinitely many solutions

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3 years ago

If the following angle pairs are supplementary then what is the measure of the missing angle?

Leno4ka [110]

Answer:

c

Step-by-step explanation:

How to remember which is which? Well, alphabetically they are:

Complementary add to 90°

Supplementary add to 180°

You can also think:

"C" of Complementary is for "Corner" right angle(a Right Angle), and

"S" of Supplementary is for "Straight" (180° is a straight line)

Or you can think:

when you are right you get a compliment (sounds like complement)

"supplement" (like a vitamin supplement) is something extra, so is bigger

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3 years ago

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