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2 years ago

If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream, What

Mathematics

2 answers:

levacccp [35]2 years ago

6 0

The slope of the linear equation is 0.37, then the linear equation will be represented as y = 0.37x + 4.

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

If Sandra charges $4.00 for a cup of ice cream and $0.37 for each ice cream. Then the linear equation is given as

$\rm y=mx+c$

We have

m = $0.37

c = $4

Then the linear equation will be

y = 0.37x + 4

More about the linear system link is given below.

brainly.com/question/20379472

sdas [7]2 years ago

5 0

Answer:y= 0.37x+4

Step-by-step explanation:
x is the amouny of ice cream, 0.37 is the amount charged per x plus the additional 4 for the cup

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X power to 11 +101 divisible by x+1 then what is the remainder

emmasim [6.3K]

Answer:

110

Step-by-step explanation:

Let's define $P(x) = x^{11} + 101$ . So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).

We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).

P(-1) = (-1)^11 + 101 = -1 + 101 = 110

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3 years ago

If f(x)= 10 sin(x) – 3 then f (30%) = ?

marissa [1.9K]

Answer:

The value of f(30) is equal to 2.

Step-by-step explanation:

The given expression is :

$f(x)= 10 \sin(x) - 3$

We need to find the value of f(30)

Put x = 30 in above expression.

So,

$f(x)= 10 \sin(30) - 3\\\\=10\times \dfrac{1}{2}-3\\\\=5-3\\\\=2$

Hence, the value of f(30) is equal to 2.

5 0

3 years ago

In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential g

Angelina_Jolie [31]

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

b) Estimate the population of the city in 2018.

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be 8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

4 0

2 years ago

Help me i dont understand this

Dennis_Churaev [7]

Answer:

there monthly budget is $4000

Step-by-step explanation:

if 600 is 15% then there is 85% of there budget left so in order to find how much is 1% then 600/15=40 so $40 = 1% so 1%x100=100% and 40x100=4000 so 100% of there budget is $4000

hope this helps have a blessed day :)

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3 years ago

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ycow [4]

Answer:

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Step-by-step explanation:

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