Martha pays $178 every 4 months for her guitar lessons. At this rate, how much will Martha pay for 3 years of guitar lessons?

8,9,10,11,11,14,18,28,28,29,40,41,41,44,45,47,55 which histogram represents data

Elenna [48]

Answer:

did this b4

Step-by-step explanation:

I used bars of width 10. There are 3 values from 0-9; 4 values from 10-19; 3 values from 20-29; 0 values from 30-39; 6 values from 40-49; and 1 value from 50-59.

please mark as brainliest

3 0

3 years ago

Read 2 more answers

The table shows different possibilities for the number of students to the number of fans present at a football game. Which ratio

Deffense [45]

Answer: 7:49

Step-by-step explanation: As you can see in the table, if you divide the number of fans present at a football game by the number of students, you would always get 7. So, 7:49 is a choice because if you divide 49 by 7, you get 7. Hope this helps!!

7 0

3 years ago

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represent

pentagon [3]

Answer:

Graph G

Step-by-step explanation:

The graphs are attached

Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours, hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour

Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per secong

The slope (rate of change) of a line (m) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:

$Slope\ of\ line\ F=\frac{-20-0}{10-0} =-2\ meters\ per\ second$

b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:

$Slope\ of\ line\ G=\frac{-70-0}{10-0} =-7\ meters\ per\ second$

c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:

$Slope\ of\ line\ H=\frac{-35-0}{10-0} =-3.5\ meters\ per\ second$

d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:

$Slope\ of\ line\ j=\frac{-3.5-(-3.5)}{10-0} =0\ meters\ per\ second$

8 0

3 years ago

Read 2 more answers

Find the measure of the arc or angle indicated. or find the value of x

bonufazy [111]

#8 you do 360= 112+136+x... then you solve for x. X=112. Now you divide this by two since it is an inscribed angle. For #9 I have this very simplified work in the picture. Sorry I did not do #10

5 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