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Mars2501 [29]
2 years ago
15

A population doubles in size every 30 years. What is its continuous growth rate? Express your answer to the nearest 0.0001 perce

nt
Mathematics
1 answer:
IrinaVladis [17]2 years ago
8 0

Answer: 2.3374%

Step-by-step explanation:

x=continuous growth rate.

x^30=2

x=1.023373892

1.023373892-1=0.023373892

0.023373892*100=2.3373892%

2.3373892%=2.3374%

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An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been
deff fn [24]

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

7 0
3 years ago
On a piece of paper, graph y< -*x+2. Then determine which answer choice matches the graph you drew.
alisha [4.7K]

D. graph D

Explanation

Step 1

graph the function as a line

convert

\begin{gathered} y

to graph, find 2 coordianates

a) when x=0

\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot0+2 \\ y=0+2,\text{ y=2} \\ so,\text{ we have P1(0,2)} \end{gathered}

b) when

x=-4

\begin{gathered} y=-\frac{3}{4}x+2 \\ y=-\frac{3}{4}\cdot-4+2 \\ y=3+2 \\ y=5 \\ P2(-4,5) \end{gathered}

now, using two points draw a line

Step 2

we are looking fro values under this line, so the answer is

D. graph D

7 0
1 year ago
Three ingredients A, B, and C are mixed by weight in the ratio of 1:2:3 respectively to make a mixture. How many pounds of ingre
cluponka [151]

Answer:

B. 24

Step-by-step explanation:

just took the quiz and got it right

8 0
3 years ago
2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
9966 [12]

Answer:

96 people were teenagers

Step-by-step explanation:

2400*4%= 96

7 0
3 years ago
Read 2 more answers
Does anyone need a quick response to their question? doesn't matter wat category
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Answer:

yes

Step-by-step explanation:

The price of Stock A at 9 A.M. was ​$14.72. Since​ then, the price has been increasing at the rate of ​$0.06 each hour. At noon the price of Stock B was ​$15.22. It begins to decrease at the rate of ​$0.14 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

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