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VashaNatasha [74]
3 years ago
14

Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to p

lay as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represent the number of games that require 4 tokens. Janie plays the 3-token game four times and Jasmine plays the 4-token games 5 times. Write two equivalent expressions to represent the number of tokens that the girls will need to play each of the three games at least one time.
Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

Answer:

3x3x3x3+4x4x4x4x4

Step-by-step explanation:

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$800 at 7% compounded annually for 2 years
Marina86 [1]

Answer:

$115.92

Step-by-step explanation:

To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.

               A =  P ( 1 +   <u>R</u> ) ^n

                                 100      

where p = principal    ($800)            

a =  amount       (?)

r =  interest rate    (7%)

n = time ( no of years)    (2)

A  =  800   ( 1   +   <u>7 </u>) ^2

                          100                  A = 800 ( 1 + 0.07) ^2

                                                  A = 800 ( 1.07)^2   = 800 ( 1.1449)

A = 915.92.

We then find compound interest with:    

C = Amount - Principal   =   $915.92  -  $800    =    $115.92

7 0
2 years ago
What is the next letter b a d e h g k
aivan3 [116]
Abcdefghijklmnopqrstuvwxyz

ok

b to a
goes back 1 letter

then b to d
skips 3 letters forward

then d to e
1 forward

e to h
skips 3 forward

h to g
goes 1 back

g to k
goes 3 forward

pattern seems to be
1back, 3 forward, 1 forward, 3 forward, repeat
so we are at 3 forward after than 1 back, so the next one is 1 forward

1 forward from k is l

the next letter is L
8 0
3 years ago
PLEASE HELP!!!
Svetradugi [14.3K]
B or c for the equation because it is 1-n
8 0
3 years ago
Read 2 more answers
Find the derivative.
krek1111 [17]

Answer:

\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

  • Expanding/Factoring

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                           \displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \frac{\sqrt{x}}{e^x}

<u>Step 2: Differentiate</u>

  1. Derivative Rule [Quotient Rule]:                                                                   \displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}
  2. Basic Power Rule:                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}
  3. Exponential Differentiation:                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}
  4. Simplify:                                                                                                         \displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}
  5. Rewrite:                                                                                                         \displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}
  6. Factor:                                                                                                           \displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
2 years ago
6.1 Define the term inflation.<br>​
Harlamova29_29 [7]

Answer:

the action of inflating something or the condition of being inflated.

"the inflation of a balloon"

ASTRONOMY

(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.

2.

ECONOMICS

a general increase in prices and fall in the purchasing value of money.

"policies aimed at controlling inflation"

7 0
2 years ago
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