Algebra 1 - Midterm Part 2 - Common
1. When Joe graduated from college, he had $1000 in his savings
account. When he began working, he decided he would add $120
per month to his savings account.
a. Write a linear equation to
compute the amount of
money, y, in Joe's account
after x months of saving.
ons of saving
b. Graph the line.
c. Use the equation to compute the amount of money in Joe's
account after 6 months.
So is among
d. Joe needs $3160 for a down payment for a car. How long will
it take for Joe's account to reach this amount?
Answers
The linear equation is y = 1000 + 120x, at the end of 6 months, Joe will have $1720 in his account and Joe needs to save for at least 18 months in order to afford the down payment.
Data;
Initial savings = $1000Recurrent = $120a)
Linear EquationThe linear equation to compute the amount of money (y) he has after x months of savings
This can be written as
[tex]y = 1000 + 120x\\[/tex]
b)
Graphing this line, see attachment
c)
The amount Joe has after 6 months
[tex]y = 1000 + 120x\\x = 6\\y = 1000 + 120(6)\\y = 1000 + 720\\y = 1720[/tex]
after 6 months, Joe will have $1720 in his account.
d)
Joe needs $3160 down payment for a car, he would have to save x number of months.
[tex]3160 = 1000 + 120x\\120x = 3160 - 1000\\120x = 2160\\\frac{120x}{120} = \frac{2160}{120} \\x = 18[/tex]
Joe needs to save for at least 18 months in order to afford the down payment.
Learn more on linear equation here;
https://brainly.com/question/14323743
Related Questions
Can someone please help me?
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Answer:
a
Step-by-step explanation:
How many miles did Candice bike on her route ?
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Answer:
what are your options
Step-by-step explanation:
Which set of coordinates describes a function?
A {(2, -4), (-2, -7), (0, 2), (-3, 8)}
B {(8, 9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D {(8, 3), (-8, -4), (2, 7), (2, 2)}
Answers
Answer:
Choice A describes a function
Step-by-step explanation:
Relations and Functions
A relation is a set of inputs and outputs with no restrictions. A function is a relation with one output for each input.
This means that if at least one input has more than one output, it's not a function.
Analyzing each choice:
A: It can be noted that each input (2,-2,0,-3) has only one output. Thus this set describes a function.
B: Input 1 has two outputs (5,6), thus this is not a function.
C: Input 6 has two outputs (-4,-1), thus this is not a function.
D: Input 2 has two outputs (7,2), thus this is not a function.
Ross drives 366 miles in 6 hours .if ross continues to drive at the same rate how many miles can he drive in 18 hours
Answers
PLS HELP
Draw out a two column proof for each problem below.
Make sure to start with your given statement and write out each statement and reason.
Answers
Answer and Explanation:
See attached image.
help me out pls I will mark u brainlist if u answer the question.
Answers
Answer:
hey sorry I just need points lol
Step-by-step explanation:
really sorry but education is important, dont cheat <3
need help with geometry problem
Answers
Answer:
the answer is A your welcome
Step-by-step explanation:
Write an equation of the line that satisfies the given conditions. Through (−9,−1), perpendicular to −9x+y=3. Answer in slope-intercept form.
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]-9x + y = 3\implies y = \stackrel{\stackrel{m}{\downarrow }}{9} x +3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {9\implies \stackrel{slope}{\cfrac{9}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{9}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{9}}}[/tex]
so we're really looking for the equation of a line whose slope is -1/9 and passes through (-9 , -1)
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-\cfrac{1}{9}}(x-\stackrel{x_1}{(-9)}) \\\\\\ y+1=-\cfrac{1}{9}(x+9)\implies y+1=-\cfrac{1}{9}x-1\implies y=-\cfrac{1}{9}x-2[/tex]
An irrational number is close to 4.5. What could it be? List at least 4 possibilities.
Answers
Answer:
think about what is in between 4 and 4.5
you could put 4.4, 4.3, 4.25, 4.1 etc.
How can you tell when an equation in one variable has infinitely many solutions or no solution?
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answers
Answer:
U can tell it b doing 5+7_1
Step-by-step explanation:
Please watch this instructional video, prior to solving the math problem.
Answers
Answer:
vidio no vidioe is not explained
Bianca, Vincent, and Julian are each reading a book of the same length. Bianca’s book is divided into {6}6 chapters of equal length and she has read one of them. Vincent’s book is divided into {16}16 chapters of equal length and he’s read {8}8 chapters. The book Julian is reading has {8}8 chapters of equal length and Julian has read {4}4 of them. Which two people have read the same number of pages of their book?
Answers
Answer:
Vincent and Julian
Step-by-step explanation:
Vincent has read 1/2 his book and so had Julian
WILL GIVE BRAINLIEST
For what values of k will each relation not be a function A={(k^2,16),(4k,32)}
Answers
Answer: 0, 4
Step-by-step explanation:
How would 2.15 be represented as a percent?
A. 0.0215%
B. 21.5%
C. 215%
D. 2,150%
Answers
Answer:
c is the best answer
Step-by-step explanation:
Answer:
0.0215%
Step-by-step explanation:
Kylie borrowed $30 from her mother to buy a shirt. After three weeks of doing chores she pays her mother back $24. What percent of the debt has she paid her mother back?
Answers
Answer:
80%
Step-by-step explanation:
Set up a proportion, as shown in picture
Answer:
80%
Step-by-step explanation:
she would have 6 dollars to pay still
Convert 3 3/8 to an improper fraction
Answers
Answer:
The improper fraction for the mixed number 8 3/8 is 67/8. To find this, the first step is to multiply the denominator of the fraction (8)
66/8
why?
8x8+2 =66/8.
Simplify =33/8
What is the area of a triangle that has a base of 10 ft and a height of 5 ft? A-15ft B-7.5ft C-25ft D-50ft
Answers
Answer:
25
Step-by-step explanation:
formula for triangle is (b*h)/2=A
Juan will divide the fraction below. Which method should he use to divide?
Answers
Answer:
its A :)brainly?
Step-by-step explanation:
ASAP
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0
Answers
Answer:
[tex]y=\frac{-1}{3} x\\[/tex] or [tex]y=\frac{-1}{3} x + 0[/tex]
The slope is [tex]-\frac{1}{3}[/tex]
The y-intercept is 0
Step-by-step explanation:
[tex]x+3y=0\\x-x+3y=0-x\\\frac{3y}{3}=\frac{-x}{3} \\\\ y=\frac{-1}{3} x[/tex]
Answer:
Step-by-step explanation:
Isolate y to put into slope-intercept form
x + 3y = 0
3y = -x
y = - 1/3x
Slope is -1/3
Intercept is 0
Abigail sells dolls at her doll store. If she sells a doll for $55, and there is 8% sales tax, what is the tax amount a customer will pay on one doll? Round your answer to the nearest cent.
help please
Answers
Answer:
The tax amount a customer will pay on one doll is $4.4
Step-by-step explanation:
To find 8% of 55, you multiply .08 by 55, which is 4.4
Please give brainliest!
Permutations/combinations: Really need some help!
Q. The 12 houses on one side of a street are numbered with even numbers starting at 2 and going up to 24. A free newspaper is delivered on Monday to 3 different houses chosen at random from these 12. Find the probability that at least 2 of these newspapers are delivered to houses with numbers strictly greater than 14.
Answers
Answer:
hello
probability = 5 /12
Step-by-step explanation:
Match the vocabulary terms to the correct definitions.
1.
a number that when multiplied by itself (squared) equals a
given number
2) perfect square
any rational number that is the square of another rational
number
3) a number which, when in decimal form, does not terminate or
repeat
answer choices: square root , perfect square , irrational number
Answers
Answer:
1) Square root
2) Perfect Square
3) Irrational Number
Step-by-step explanation:
simplify: -10+3r+2r²-r
Answers
Answer:
2r^2+2r-10
Step-by-step explanation:
collect the like terms
the like terms are
3r and r
-10+2r+2r^2
reorder the terms
2r^2 +2r-10
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for . Determine the following (round all of your answers to 3 decimal places): (a) Enter your answer in accordance to the item a) of the question statement .972 (b) Enter your answer in accordance to the item b) of the question statement .0123 (c) Enter your answer in accordance to the item c) of the question statement .028 (d) Enter your answer in accordance to the item d) of the question statement .972 (e) Determine such that . Enter your answer in accordance to the item e) of the question statement
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a [tex]P(X < 5) = 0.960[/tex]
b [tex]P(X > 8) = 0.016[/tex]
c [tex]P(6 < x < 10) = 0.018 [/tex]
d [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
e [tex]X = 2[/tex]
Step-by-step explanation:
From the question we are told that
The probability density function is [tex]f(x) = \frac{2}{x^3}[/tex] for x > 1
Considering question a
[tex]P(x < 5) = \int\limits^5_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X < 5) = [-\frac{1}{x^2} ]| \left \ 5} \atop {1}} \right.[/tex]
=>[tex]P(X < 5) = - \frac{1}{25} + \frac{1}{1^2}[/tex]
=> [tex]P(X < 5) = 0.960[/tex]
Considering question b
[tex]P(x > 8) =1 - \int\limits^6_1 {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(X > 8) =1- [-\frac{1}{x^2} ]| \left \ 8} \atop {1}} \right.[/tex]
=>[tex]P(X > 8) = 1 - [- \frac{1}{64} + \frac{1}{1^2}][/tex]
=>[tex]P(X > 8) = 0.016[/tex]
Considering question c
[tex]P(6 < x < 10) = \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex]P(6 < x < 10) = [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=>[tex]P(6 < x < 10) = [- \frac{1}{100} + \frac{1}{36}][/tex]
=>[tex]P(6 < x < 10) = 0.018 [/tex]
Considering question d
[tex] P(X < 6 or X > 10 ) = 1 - P(6 < x < 10) = 1 - \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [-\frac{1}{x^2} ]| \left \ 10} \atop {6}} \right.[/tex]
=> [tex] P(X < 6 or X > 10 ) =1- [- \frac{1}{100} + \frac{1}{36}][/tex] [/tex]
=> [tex] P(X < 6 or X > 10 ) = 0.982 [/tex]
Considering question e
[tex]P(X < x ) = \int\limits^x_1 {\frac{2}{x^3} } \, dx = 0.75[/tex]
[tex]P(X < x ) = [- \frac{1}{x^2} ]| \left \ x } \atop {1}} \right. = 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} - [- \frac{1}{1^2} ]= 0.75[/tex]
[tex]P(X < x ) = - \frac{1}{x^2} + 1 = 0.75[/tex]
[tex] - \frac{1}{x^2} = -0.25[/tex]
[tex]X = 2[/tex]
The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005. What is the percent of increase? Round to the nearest tenth of a percent.
Answers
Answer:
26%
Step-by-step explanation:
Given:
The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005.
Percent of Change:
Increase divide by Original times 100
Solve:
1,013,751 - 805,743 = 208,008
208,008 ÷ 805,743 × 100
= 25.8156757179
= 26%
~Lenvy~
what is the measure of <ABC?
Answers
Answer:
95°Step-by-step explanation:
Given
Parallel lines AD and BCAB is reversal therefore
∠ABC and ∠DAB are supplementary anglesAs per definition, supplementary angles add up to 180°:
∠ABC + ∠DAB = 180°∠ABC + 85° = 180°∠ABC = 180° - 85° = 95°3/10 equivilant fraction
Answers
answer : 6/20
Calculate The Fractions!
Equivalent Fractions for 3/10:
Important: 3/10
looks like a fraction, but it is actually an improper fraction.
There is an infinity number of equivalent fractions to 3/10
.
To find an equivalent fraction to 3/10
, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:
By multiplying the original fraction by 2, we get:
3 × 2
10 × 2
= 6/20
Answer:
the answer is 6/20
Step-by-step explanation:
3×2
10×2
Use the diagram shown. Solve for x. Find the angle measures to check your work. (Edit: nevermind i got the answer)
Answers
Answer:
x = 9
m<AOB = 29°
m<BOC = 57°
m<COD = 29°
Step-by-step explanation:
Given:
m<AOB = (4x - 7)°
m<BOC = (5x + 12)°
m<COD = (2x + 11)°
The diagram shows <AOB is congruent to <COD.
Set both angles equal to each other to find x.
m<AOB = m<COD
4x - 7 = 2x + 11
Collect like terms
4x - 2x = 7 + 11
2x = 18
Divide both sides by 2
2x/2 = 18/2
x = 9
Find the measure of each angle by plugging in the value of x into each expression for each angle:
m<AOB = (4x - 7)° = 4(9) - 7 = 36 - 7 = 29°
m<BOC = (5x + 12)° = 5(9) + 12 = 45 + 12 = 57°
m<COD = (2x + 11)° = 2(9) + 11 = 18 + 11 = 29°
100 Points
Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.
Answers
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers
Step-by-step explanation:
2x5.2 is greater than 2.2x5 true or false?
Answers
Answer:
false
Step-by-step explanation:
2x5.2=104
2.2x5=110
2x5.2 = 10.4
2.2x5=11
so 2.2x5 is greater than 2x5.2 meaning it’s false