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insens350 [35]
3 years ago
9

What is the smallest, positive integer value of x such that the value of f(x) = 2x + 3 exceeds the value of g(x) = 50x + 5?

Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0
F(x) > g(x)
2^x + 3 > 50x + 5

for x = 3 , f(3) > g(3)
11 > 155 (false)

for x = 10 , f(10) > g(10)
1027 > 505 (true)

for x = 9 , f(9) > g(9)
515 > 455 (true)

for x = 8 , f(8) > g(8)
259 > 405 (false)

the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)
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suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A samp
Tema [17]

Answer:

3.33% per hour

Step-by-step explanation:

Use the A=Pe^rt equation. A is the end amount, so it's 1892. P is the original amount, 1700. E is a constant, around 2.72. R is the growth constant. T is the time that passed, 3 hours. You can substitute the givens into the equation and get 1892=1700e^(3r). Divide by 1700 to isolate the e. This leaves you with 1892/1700=e^(3r). Do the natural log of each side cancel the e and bring the exponent down. This leaves you with ln(1892/1700)=3r. Divide by 3 to isolate r. ln(1892/1700) is .1. .1/3 is .03333. Multiply by 100 to get a percent. 3.33 percent is your final answer.

8 0
3 years ago
April took out $600 loan from the bank. At the End of five years, she paid back $600, plus $60 in simple interest. What was the
NeTakaya

60/600=.1

 

.1/5=.02=2% interest rate over 5 years

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6 0
3 years ago
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What is an equivalent expression for 65 ÷ 63.
GREYUIT [131]

Answer:

The equivalent expression is 65/63

3 0
2 years ago
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X-4y=-21<br> 8y-x=45<br> Solve the system <br> (X,y)=
meriva

Answer:

\displaystyle (3, 6)

Step-by-step explanation:

{x -4y = −21

{8y - x = 45

_________

\displaystyle \frac{4y}{4} = \frac{24}{4} \\ \\

\displaystyle y = 6[Plug this back into both equations above to get the x-coordinate of 3]; \displaystyle 3 = x

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6 0
3 years ago
Trevor has an investment worth $6,774.50. He made his only deposit in it 22 years ago. Given that the investment yields 2.7% sim
OleMash [197]
My initial answer was $2750.45, and I will show you my calculations.

Calc : 6774.5 ÷ 100 = 67.745
67.745 × 2.7 = 182.9115
182.9115 × 22 = 4024.053
6774.5 - 4024.053 = 2750.45

= $2750.45

At first I thought this was correct, but after studying my answer I realise that the amount of interest would rise as the amount of money went up, therefore my calculations are very wrong. If I work out the answer, I will get back to you, but the calculation is more complicated than I first predicted
7 0
3 years ago
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