Sales, property, and income are three types of ____

You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che

Phantasy [73]

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, $w$ represents the week, $s$ represents the saving account and $c$ represents the checking account.

Balance in saving account in any week $=s=5w+25$

Balance in checking account in any week $=c=10w+50$

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find $w$ for $2s = c$ .

Putting the values, we have:

$2(5w+25)=10w+50$

$\Rightarrow \mathrm{True\:for\:all}\:w$

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

7 0

3 years ago

A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5

alex41 [277]

Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

→

24

:

b

Where

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for

b

:

3

2

=

24

b

2

3

=

b

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

=

16

The restaurant would of sold

16

burgers without cheese with the information provided in the problem.

4 0

3 years ago

Need help on this question for math

KATRIN_1 [288]

Answer:

y=-7

Step-by-step explanation:

hope that will help you

8 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

Not sure how to do this, I will give Brainiest for step-by-step instructions.

Mkey [24]

Find 2 coordinates on the graph : (0, -20) and (10, 10)

Slope = (10 - (-20) ) / (10 - 0) = 30/10 = 3

Slope = 3

y-intercept = (0, - 20)

Equation : y = 3x - 20

Since the right hand side is shaded, the equation is y > 3x - 20.

4 0

3 years ago

Sales, property, and income are three types of _____. profits income interest taxes