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Nataly_w [17]
2 years ago
9

Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Le

t
x represent the amount of money Sarah needs.
A)
X-63 = 150
B)
x+63 = 150
X + 150 = 63
D)
X - 150 = 63
Mathematics
2 answers:
IrinaVladis [17]2 years ago
7 0

Answer:

B.

Step-by-step explanation:

x+63=150

x+63-63=150-63

x=87

She needs 87 more dollars for her new phone.

julia-pushkina [17]2 years ago
4 0
The correct answer choice should be letter A as in Ana.
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The sum of two consecutive negative integers is -171. What is the number closest to zero?
Anton [14]
Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
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x+1=otehr number
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2 years ago
Select the correct answer from each drop-down menu.
Aleksandr [31]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
3 years ago
I WILL GIVE BRAINLIEST PLEASE HELP
aliina [53]

Answer: the answer is : you write a compound inequality for the amount of money she would spend, subtract the money she did spend and divide by the cost of what she has yet to buy she can buy between 1-7 shirt

Step-by-step explanation:

I took quiz

7 0
2 years ago
100 points!! Which Fraction is the same as 1/2?
sineoko [7]
The answer is 2/4! :)
5 0
3 years ago
Read 2 more answers
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