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3 years ago

In a class of 200 student ,

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

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A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $30 p

Mkey [24]

First, you need to write to expressions to model each situation:

Plan A: 10+0.15x

Plan B: 30+0.1x

Next, set the expressions equal to each other and solve for x:

10+0.15x=30+0.1x

*Subtract 0.1x from both sides to isolate the variable*

10+0.05x=30

*Subtract 10 from both sides*

0.05x=20

*Divide both sides by 0.05*

x=400

The plans would have the same cost after 400 minutes of calls.

To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:

10+0.15(400)

10+60

The plans will cost $70.

Hope this helps!

3 0

3 years ago

Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account aft

oksian1 [2.3K]

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years

8 0

3 years ago

If you shift the exponential parent function, f(x) = 2^x , right 2 units, what is the equation of the new function?

aev [14]

Answer:

$g(x)=2^{x-2}$

Step-by-step explanation:

Translations

For $a > 0$

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

Parent function: $f(x)=2^x$

Translated 2 units right: $g(x)=f(x-2)=2^{x-2}$

6 0

2 years ago

Read 2 more answers

One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of

loris [4]

1:2 is the correct answer

5 0

3 years ago

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Find the nth term of this number sequence 7, 10, 13, 16, ... help please !!

LenKa [72]

Answer:

$a_{n}$ = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

$a_{n}$ = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

8 0

2 years ago

Read 2 more answers

In a class of 200 student , ​

In a class of 200 student ,