All categories

3 years ago

Whats the answer to this question?

Mathematics

2 answers:

Inga [223]3 years ago

4 0

The answer would be 3 and 5/9 as a mixed number or 32/9 in the improper form

Hitman42 [59]3 years ago

4 0

Three and five over nine.

You might be interested in

(20 points) NEED ANSWER ASAP

geniusboy [140]

The first step would be D

3 0

3 years ago

In Biology class, Ji-yoon is viewing cells with a microscope. Cell F

ryzh [129]

Answer:bananas T^T

Step-by-step explanation:

5 0

2 years ago

3x-2y=6 2x-y=5 Solve the system by substitution

nalin [4]

The answer is

X =3

because they both equal the amounts given

7 0

3 years ago

X+2.6=1.7 how do you do this

Genrish500 [490]

X+2.6=1.7
x+12=7
x+12-12=7-12 (subtract 12 from both sides)
x=-5

6 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago