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2 years ago

A blight is spreading in a banana plantation. Currently, 458 banana plants are infected. If the

Mathematics

1 answer:

WARRIOR [948]2 years ago

8 0

The number of infected banana plants with a rate of 8% will be in 8 years is 848.

<h3>What is exponential growth or decay function?</h3>

Consider the function:

y = a(1 + r)ˣ

where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

A blight is spreading on a banana plantation. Currently, 458 banana plants are infected.

If the disease is spreading at a rate of 8% each year.

Then the number of the plants that will be infected in 8 years.

Then the exponential function is given as

y = 458(1.08)ˣ

At x = 8, then we have

y = 458(1.08)⁸

y = 458 x 1.851

y = 847.73

y ≅ 848

Learn more about exponential growth and decay here:

brainly.com/question/2193820

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Deb borrows $3190 at 2.9% simple interest per month. When Deb pays the loan back 5 years later, what is the total amount that De

Alja [10]

Answer:

$3,282.51

Step-by-step explanation:

you take 3,190 times 2.9% and get $92.51, add that to 3,190 and get $3,282.51! hope this helped!

7 0

3 years ago

Read 2 more answers

If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)? A. 111 B. 144 C. 120 D. 129

lapo4ka [179]

Answer: OPTION D

Step-by-step explanation:

Given the functions $f(x) = x^2 - 2x + 9$ and $g(x) = 8 - x$ , you need to substitute the function g(x) into the function f(x), then:

$(fog)(x)=(8-x)^2 - 2(8-x) + 9$

Now, you need substitute the input value $x=-4$ into $(fog)(x)$ , then you get the following output value:

$(fog)(-4)=(8-(-4))^2 - 2(8-(-4)) + 9$

$(fog)(x)=(8+4)^2 - 2(8+4) + 9$

$(fog)(x)=(12)^2 - 2(12) + 9$

$(fog)(x)=129$

This matchis with the option D

6 0

4 years ago

A student rounds a number to 12.9. Which of the following is a possible value of the original number?

LekaFEV [45]

Answer:

12.85, 12.86, 12.87, 12.88, 12.89, 12.90, 12.91, 12.92, 12.93, and 12.94

Step-by-step explanation:

there is none

3 0

3 years ago

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue

Leto [7]

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

$c(x) = 600x {}^{2} + 300x$

monthly revenue:

$r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500$

profit function:

$p(x) = r(x) - c(x)$

$p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)$

i) remove the first bracket

$p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)$

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x$

iii) collect like terms

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500$

iv) simply the like terms

$p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500$

6 0

3 years ago

Use the graph for this question what is the average rate of change from x=0 to x=2

kherson [118]

The rate of change should be 2

5 0

4 years ago