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3 years ago

Which function represents exponential decay?

2 answers:

6 0

With out any functions to choose from...this is difficult. But look for the equation that has a a decimal raised to a power (.07)^2

olga55 [171]3 years ago

4 0

Answer:

f(x)=2(2/3)x

Step-by-step explanation:

compared to all of the other answers, 2/3 is the only one between 0-1 for the exponential decay.

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Slope of 4/5, a width of 30…what is the height..?

maw [93]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here we go ~

Slope of the graph can be expressed as :

$\qquad \sf \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}$

$\qquad \sf \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5}$

$\qquad \sf \dashrightarrow \: x = \dfrac{4}{5} \times 30$

$\qquad \sf \dashrightarrow \: x = {4}{} \times 6$

$\qquad \sf \dashrightarrow \: x = 24 \: units$

So, the value of x is 24 units

8 0

2 years ago

Suppose 12% of the students chose to study French their freshman year, and that meant that there were 21 such students. How many

AleksAgata [21]

Answer:

154 students

Step-by-step explanation:

First get the total number of students .

This can be gotten by

12% of A = 21

Where A represents the total number of students.

12% represents the % of A that chose to study French and 21 is the number of students that studied French .

Therefore,

12% /100% x A = 21

0.12 x A = 21

Divide both sides by 0.12

0.12/0.12 x A = 21/0.12

A = 175

The total number of students is 175.

If 21 chose to study French their freshman year ,number of students that chose not to will be total number of students minus number of those who chose to study French.

That’s

175 - 21

= 154

154 students chose not to study French their freshman year

4 0

3 years ago

Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and

Irina18 [472]

Answer: tea = 15 rupees per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997":

2 t + 3 s =39 (a)

Where:

t= price of 1 kg of tea
s = price of 1 kg of sugar

"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "

2(t1.25)+3(s1.2) = 48.30 (b)

Solving for t in (b)

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

Replacing the value of t in (b)

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

Replacing the value of s in (a)

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Read 2 more answers

Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest

Ivanshal [37]

Answer: C 2.5%

Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

$\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%$