HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:

X g(x)
0 $600
3 $720
6 $840

Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?

Answers

Answer 1

Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125


Related Questions

Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.​

Answers

Answer: k = 3

Step-by-step explanation:

U first expand

96 - 8k = 3k + 63

Then u add 8k from both sides

96 = 3k + 63 + 8k

then u simplify

3k + 63 + 8k to 11k + 63

then u subtract 63 from both sides

96 = 11k + 63

Then u simplify 96 - 63 to 33

33 = 11k

Then u divide both sides by 11

33/11 = k

then u simplify 33/11 to 3

3 = k

and last u switch the sides

k = 3

Graph the line passing through (4,−1) whose slope is m=43.

Answers

I can’t really graph it, but I will tell you the points on the graph. The points are (5,42). Hope this helped :D

Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.

Answers

Answer:

−2x3

Step-by-step explanation:

i sloved the equation then mulitipilied by 3

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Answers

Answer and Step-by-step explanation:

A whole number isn't irrational because it is a whole number. Confused? Most likely.

A whole number is any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives. Example: 5, 49 and 980 are all whole numbers.

An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

These are both real numbers because they don't go through the 4th wall (of science/math)

Imaginary numbers would use i.

angle 4 and angle 5 are ??? angles will mark brainiest ​

Answers

Answer:

alternate interior

Step-by-step explanation:

alternate interior angles are congruent if and only lines are parallel.

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D
20
E 10 F
DF =

Answers

Answer:

30

Step-by-step explanation:

it is right

it’s 30!

bc DE is 20 and EF is 10, if DF is the entire segment, then you would add 20 & 10, to get 30.

Serena charges $6.50 an hour to walk dogs. She worked 5 hours last week and 9.5 hours this week. How much did she make altogether in the last two weeks?

Answers

Answer:

She made 91 dollars

Step-by-step explanation:

6.50 times 5 = 32.5

6.50 times 9 =58.5

58.5+32.5=91

Answer:

Your answer is $91.00.

Step-by-step explanation:

6.50 * 5 = 32.5

6.50 * 9 = 58.5

             =  91

Hope this helps!

Arrange the three numbers shown in order from least to greatest.
1. 0.67
2. 6/9
3. 6.7%

Answers

Answer:1. 6/9 2. 0.69 3. 6.7

Step-by-step explanation:i think this is correct

Answer:

It is: 6.7%, 6/9, 0.67.

Step-by-step explanation:

Convert all your numbers to decimals.

6.7% = 0.067

6/9 = 0.66... (repeating decimal)

0.67 = 0.67 (already a decimal)

Line the decimals up to make them fair to compare then order them from least - greatest.

PLEASE HELPPPP ITS A GRADE

Answers

Answer:

A. It is not a function because 0 outputs multiple items

B. the domain seems to be 0,1,2,3

c.The range seems to be -2,1,2,4

Step-by-step explanation:

A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
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A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study

Answers

Answer:

A) Matched pairs design

Step-by-step explanation:

In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.

Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.

Write the inequality given below.

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Answers

Answer:

Step-by-step explanation:

8-2x>12

will be nice if you give me brainlies.Good luck!

3 of 5
Simplify as far as possible without a calculator.
33(272+273)

Answers

Answer:

17,985

Step-by-step explanation:

33(545)= 17,985

Pleaseeeeeeee, help meeeeeeee

Answers

kikaksyvjabsjxjjcjallalalalakjdiloveyouhahahahjss

what bro bye bro that’s weird bro

shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%

Answers

Complete question :

shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent

Answer:

1.72%

Step-by-step explanation:

Given that :

MACHINE 1:

Sales price = 990

Profit percent = 10%

The cost price of the machine (x) :

10% profit of x :

(100 + 10)% of x = 990

110% of x = 990

1.1x = 990

x = 990/1.1

x = 900

MACHINE 2:

Sales price = 1960

Loss on sale = 2%

Cost price (x) :

(100 - 2)% of x = 1960

98% x = 1960

0.98x = 1960

x = 1960/0.98

x = 2000

Total amount realized from sale = (990 + 1960) = 2950

Total cost of production = (2000 + 900) = 2900

Profit Made = (2950 - 2900) = 50

% profit:

(Profit / cost of production) * 100

(50 / 2900) * 100%

0.0172413 * 100%

profit % = 1.72

The profit made is 50

Cost price of first machine will be:

= 100/(100 + 10) × 990

= 100/110 × 990

= 100 × 9

= 900

Cost price for second machine will be:

= (100 - 2) × x = 1960

= 98% × x = 1960

= 0.98x = 1960

x = 1960/0.98.

x = 2000

The total cost price = 900 + 2000 = 2900

Total selling price = 990 + 1960 = 2950

Therefore, profit will be:

= Selling price - Cost price .

= 2950 - 2900

= 50

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Answers

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Answers

10 feet would be 120 inches

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Answers

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Step-by-step explanation:     Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (108)/5 = -106/5

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Answers

Answer:

55/8

Step-by-step explanation:

If 11/4 packages of beads are used to make 10 bracelets;

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Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \text{4a + 6}}}}[/tex]

Step-by-step explanation:

[tex] \text{ (3a + 7) + (a - 1)}[/tex]

In addition , sign of each term in the expression remains unchanged. So, Remove the unnecessary brackets.

[tex] \text{⇢ \: 3a + 7 + a - 1}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

[tex] \text{⇢ \: 3a + a + 7 - 1}[/tex]

[tex] \text{⇢ \boxed{ \text{4a + 6}}}[/tex]

And we're done! :D

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Best regards! :D

~TheAnimeGirl

What is the five-number summary for this data set?
4,6, 10, 13, 18, 28, 34, 46, 50, 58
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.

Answers

Answer:

4, 10, 23, 46, 58

Step-by-step explanation:

this is easy stuff bro, did u rlly have to look this up

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V131
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Answers

Answer:

I think the answer is B It lies between 11 and 12

Step-by-step explanation:

Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree?

Answers

Answer:

$49.95

Step-by-step explanation:

Since each tree costs the same, we can find the individual cost by dividing the total cost by the number of trees:

349.65/7

= 49.95

So, the cost of one tree is $49.95

A
B
C
D

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Answers

it is basically asking what is 5 squared which is 25!!

Answer:

25

Step-by-step explanation:

5 times 5

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hope this helps

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Answer:

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Step-by-step explanation:

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14:26
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Answers

26:14 is the ratio of the girls and boys

Answer:

26:14

Step-by-step explanation:

It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.

Hope this helps

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Answers

Answer:

4x(x^2 + 13x + 36)

Step-by-step explanation:

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Answers

Answer:

y<2

Step-by-step explanation:

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Answer:

y<2

Step-by-step explanation:

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Answers

Answer:

ill give u the answer if u do 73 divided by 2628

Step-by-step explanation:

Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?

Answers

Answer:

25:1

Step-by-step explanation:

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I hope this helps!

Answer:

2:6

Step-by-step explanation:

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