y = 3x – 8
y = -x – 4
Answer:
slope is 3 and -1
Step-by-step explanation:
Answer:https: y+3x-8
Step-by-step explanation: first: put your first point at -8
second: then from the point at -8, go up three times, and over to your right one time
now do that however many times you need to
explanation:
- the y-intercept is the initial value which is -8. the line must pass through -8 so you would start your line at -8
- your slope is 3x. slope is so you rise 3 time and over 1 time
y = -x – 4 -4.0
y-intercept = -4/1 = -4.00000
Please show and explain all steps so I can better understand :)thx
The correct answer is 61
The correct option is option b) 61
What is linear equation in one variable and how to solve such equations?
Linear equation are the equation in which degree of the variable is one and only one variable is present in the equation. To solve is to find the value of the variable and to do that we first separate the variable from the constant and then find the value of the variable
We are given an equation
To solve the equation is to find the value of the variable x and to do that first we take is to square the equation both sides
We get
x + 20 = 81
Now we separate the variable and the and the constant to find the value of the variable we get
x = 61
Hence the correct answer is 61 and correction option is option b)
To learn more about linear equation and how to solve them please refer the following link
#SPJ2
Answer:
x=61
Step-by-step explanation:
There's a website called "symbolab.com" that I use to figure out problems like this easily. :) It has a bunch of math-related calculators and graphing stuff.
to start with $300, and then save $100 each month. Sally has $6000 and decides
to put her money in the bank in an account that has a 7% interest rate that is
compounded annually. Natalie has $5000 and decides to put her money in the
bank in an account that has a 10% interest rate that is compounded continuously.
How much money have after 2 years?
How much money will sally have in 10 years?
What type of exponential model is Natalie’s situation?
Write the model equation for Natalie’s situation
How much money will Natalie have after 2 years?
How much money will Natalie have after 10 years
Answer:
Part 1) John’s situation is modeled by a linear equation (see the explanation)
Part 2)
Part 3)
Part 4)
Part 5) Is a exponential growth function
Part 6)
Part 7)
Part 8)
Part 9) Is a exponential growth function
Part 10) or
Part 11)
Part 12)
Part 13) Natalie has the most money after 10 years
Part 14) Sally has the most money after 2 years
Step-by-step explanation:
Part 1) What type of equation models John’s situation?
Let
y ----> the total money saved in a jar
x ---> the time in months
The linear equation in slope intercept form
y=mx+b
The slope is equal to
The y-intercept or initial value is
so
therefore
John’s situation is modeled by a linear equation
Part 2) Write the model equation for John’s situation
see part 1)
Part 3) How much money will John have after 10 years?
Remember that
1 year is equal to 12 months
so
For x=120 months
substitute in the linear equation
Part 4) How much money will John have after 2 years?
Remember that
1 year is equal to 12 months
so
For x=24 months
substitute in the linear equation
Part 5) What type of exponential model is Sally’s situation?
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
therefore
Is a exponential growth function
Part 6) Write the model equation for Sally’s situation
see the Part 5)
Part 7) How much money will Sally have after 10 years?
For t=10 years
substitute the value of t in the exponential growth function
Part 8) How much money will Sally have after 2 years?
For t=2 years
substitute the value of t in the exponential growth function
Part 9) What type of exponential model is Natalie’s situation?
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
Applying property of exponents
therefore
Is a exponential growth function
Part 10) Write the model equation for Natalie’s situation
or
see Part 9)
Part 11) How much money will Natalie have after 10 years?
For t=10 years
substitute
Part 12) How much money will Natalie have after 2 years?
For t=2 years
substitute
Part 13) Who will have the most money after 10 years?
Compare the final investment after 10 years of John, Sally, and Natalie
Natalie has the most money after 10 years
Part 14) Who will have the most money after 2 years?
Compare the final investment after 2 years of John, Sally, and Natalie
Sally has the most money after 2 years
let x be the percent of change
70-70x=56
-70x=56-70
-70=-14
x= -14/-70
x= 1/5
x= 20%
The percent change from 70 to 56 is 20% decrease .
I hope that's help !