Answer:
i think about it
Step-by-step explanation:
Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-free investment with a 7% yearly interest rate, compounded continuously.
If yy is the value of the investment, and tt is in years:
dydt=dydt=
Your answer should be in terms of yy.
You start investing at t=0t=0 so y(0)=0y(0)=0.
y(t)=y(t)=
What is the size of your investment after 30 years.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
p= amount at any time
then [tex]\frac{dp}{dt}=0.07 p[/tex]
[tex]p=p_0 (1+e^{0.07 t) \\\\[/tex]
[tex]P_0=\ principle \ amount \\\\ interest \ =p-p_0=p_0e^{0.07t}\\\\ p=y\frac{dy}{dt}=0.07y_0[/tex]
at time [tex]= t\ years[/tex]
[tex]\frac{dp}{dt}\\\\c_0=\$ \ 20000\ year\\\\p \to p+dp\\\\ dp=0.07p+c_0[/tex]
y= amount at any times
[tex]\frac{dy}{dt}=0.07y+c_0\\\\dt= \frac{dy}{c_0+0.07y}[/tex]
For point a:
[tex]\frac{dy}{dt}=20000+0.07 y[/tex]
For point b:
[tex]\frac{dy}{20000+0.07 y}=dt\\\\\frac{1}{0.07}|n(\frac{0.07y+20000}{20000})=t\\\\\frac{0.07y}{20000}+1=e^{0.07t}\\\\y=7.1428\times 10^4[e^{0.07t} -1]\\\\y=\frac{20000}{0.07}[e^{0.07t}-1]\\\\[/tex]
For point c:
[tex]y(30)=827391.75[/tex]
3x + 10 = 2(x + 6) + 4
Answer:
If your trying to find x im pretty sure the ans is 6
The zookeeper has 3 cups of frog food. She feeds the frogs
1/4 cup of food each day. How many days of frog food does
she have?
Answer:
12 days.
Step-by-step explanation:
The number of days of frog food the zookeeper has is A = 12 days
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of days of frog food the zookeeper has be A
Now , the value of A is
The number of cups of frog food she has = 3 cups
The number of cups of frog food she feed every day = ( 1/4 ) cups per day
Now , the equation is
A = number of cups of frog food she has / number of cups of frog food she feed every day
On simplifying the equation , we get
The number of days of frog food the zookeeper has A = 3 / ( 1/4 )
The number of days of frog food the zookeeper has A = 3 x 4
The number of days of frog food the zookeeper has A = 12 days
Hence , the number of days is 12 days
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
5)
Solve: 5x - 7x + 6 = -2(x - 3).
A)
0
B)
mit
2
infinitely many solutions
Answer:
Option C) Infinitely many solutions is correct option.
Step-by-step explanation:
We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x
The equation can be solved using DMAS rule.
Solving:
[tex]5x - 7x + 6 = -2(x - 3)[/tex]
Multiply -2 with terms inside the bracket
[tex]5x - 7x + 6 = -2x +6[/tex]
Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.
[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]
Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.
So, Option C) Infinitely many solutions is correct option.
20points. Find an equation for the linear graph.
Use the two endpoints to find the slope:
(0,2) and ( 5,5.5)
Slope = change in y over change in x:
Slope = (5.5-2)/(5-0) = 3.5/5 = 0.7
The y intercept is the y value when x is 0, which is 2
Equation: c = 0.7x + 2
Determine whether or not x = 2 would make the following functions equal. Show your work.
y = 2x + 1 and
y = 4x – 3
Answer:
Yes.
Step-by-step explanation:
Substituting x = 2 into y = 2x + 1,
y = 5
Substituting x = 2 into y = 4x - 3
y = 5
176min=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯hr⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯min
Tony uses the length of his hand to measure the size of his desk. He finds the top of his desk to be about "3 hands by 9 hands" in size. Jacqueline uses her hand and finds the same desk to measure about "4.25 hands by 12.75 hands" in size.
Tony's hand is how many times as long as Jacqueline's hand?___________ times as long
What is the measure of Tony's hand using Jacqueline's hand as the "unit ruler"?
Jacqueline's hand is how many times as long as Tony's hand?__________ times as long
What is the measure of Jacqueline's hand using Tony's hand as the "unit ruler"?
Answer:
the answer isto get a brain idiot
Step-by-step explanation:
yyyh
In the box, type the number that correctly completes the sentence.
Andrew bought a sandwich for $4.37. If he gives the cashier a $10 bill, he
should receive $
in change.
Based on the following scenarios, match the scenario with the correct type of problem. Group of answer choices
a. A local Toyota dealership wants to estimate the average cost of maintenance repairs car owners spend per year. They send out a survey asking locals to report the cost for their vehicle over the past year.
b. The University of Florida wants to estimate what number of students visit Library West multiple times per week. They ask the following question: "Do you visit Library West more than twice a week?"
c. A local Toyota dealership wants learn about customers use of the vending machines in the waiting area lobby. They ask the question: "Do you purchase food or drink from the vending machines?"
d. The University of Florida wants to estimate how long students visit Library West per week. They send out a survey and ask respondents to write down how many hours per week they visit Library West.
Options for each question:
1. One proportion
2. One mean
Answer:
Matching the scenario with the correct type of problem:
a. one mean
b. one proportion
c. one proportion
d. one mean
Step-by-step explanation:
A one-proportion problem is tested using the one-sample proportion test. This estimates the proportion of a population by comparing the proportion to a target or reference value. On the other hand, a one-mean problem is tested using the one-sample t-test. This tests whether a population mean is significantly different from some hypothesized value.
Which equation is equivalent to the given equation?
X^2-14x=-48
Answer:
(x-6)(x-8)=0
Step-by-step explanation:
x^2-14x+48=0
Factorizing
x^2-8x-6x+48=0
(x^2-8x)+(-6x+48)=0
x(x-8)-6(x-8)=0
(x-6)(x-8)=0
Which fraction is equivalent to (1/2)(1/2)(1/2)
Answer:
3/6 4/8
Step-by-step explanation:
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
What proportion can be used to find 65% of 90?
Answer:
C. 65/100 = x/90
Step-by-step explanation:
65% of 100 is 65/100 as 65% of 90 is x/90.
You can find the correct answer by cross multiplying to see if the part / whole = percent / 100.
One number is 5 more than another. The difference between their squares is 75. What are the numbers?
Answer:
The numbers are:
-10 and -5Step-by-step explanation:
Let the first number = n
As one number is 5 more than another. So,
The another number = n + 5
Given that the difference between their squares is 75, so
n² - (n + 5)² = 75
n² - (n² + 10n + 25) = 75
n² - n² - 10n - 25 = 75
0 - 10n = 75 + 25
-10n = 100
divide boths sides by -10
-10n/-10 = 100/-10
n = -10
Thus,
The first number = n = -10
The other numebr = n + 5 = -10 + 5 = -5
Therefore, the numbers are:
-10 and -5A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be _____ inches.
please help I am confused i'll answer one of your questions!! I got it wrong the first time
Answer:
Step-by-step explanation:
22.2
Answer:
22.2
Step-by-step explanation:
please help me!
7. Two hours after leaving his home, Nolan traveled a distance of 120 miles. Distance in this scenario is represented by d and time is represented by t.. [2 points]Part A. Assuming that Nolan travels at the same speed during his trip, which of the following statements can be used to describe the distance Nolan may have traveled?
a.Nolan traveled 180 miles after 3 hours.
b.Nolan traveled 60 miles after 2 hours
.c.Nolan traveled 120 miles after 1 hour.
d. Nolan traveled 60 miles after 0 hours.
Part B. Write an equation that represents the distance traveled by the car for an amount of time. Then name the dependent variable
.a.d=120t, d is the dependent variable
b.d=60t, d is the dependent variable
c.d=120t, t is the dependent variable
d.
d=60t, t is the dependent variable
Answer:
bueh
Step-by-step explanation:
Ayo help a girly out
(1)Simplify each expression. (Make sure to find those "like" terms)
3x + 9 + 2x − 5
Options: 6x + 4
14x - 5
9x
5x + 4
______________________________________________________________
(2)Simplify each expression. (Make sure to find those "like" terms)
7m + 2(m − 5y)
Options: 14m - 5y
9m - 10y
9m - 5y
7m + 10y
_________________________________________________________________
If you're helping tysm my guy ily
Answer 1: 5x + 4
Answer 2: 9m + -10y
Step-by-step explanation:
To simplify 3x + 9 + 2x − 5, you have to find the like terms which are 3x and 2x, and 9 and -5. So you get 3x + 2x + 9 - 5 which gives you the result of 5x + 4. Now to simplify 7m + 2 (m − 5y), you have to distribute first, so 7m + (2) (m) + (2) (−5y) which gives you 7m + 2m + −10y. So now you just have to add. 7m + 2m = 9m and then you have -10y so basically the answer is 9m + -10y.
I hope this helps you bro
In the equation y = 2x + 5, what values represent the m (slope) and the b (y-intercept)?
Answer:
m(slope)=2
b(y-intercept)=5
Step-by-step explanation:
Answer:
2x represents the slope and 5 represents the y intercept.
Can you help me? I will give the brainleist
Answer:
18
Step-by-step explanation:
P = (3+6)*2 = 18
what is 4000×1mil I'm stuck on it
according to goo.gle:
❌Will mark brainliest answer
Select all the correct answers.
Which equations have one solution?
I need help please.
Answer:
12% or c
Step-by-step explanation:
590/670 = 88.059 rounded to 88
100 - 88 = 12
Answer: c
Step-by-step explanation: 80/670 = ____/100 then cross multiply
Factor 9x2 + 25 over the set of complex numbers.
Enter your answer in the box.
The set of complex numbers are x= +5/3i and x= -5/3i.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given expression is 9x²+25
9x²=-25
x²=-25/9
x=√(-25/9)
x=±5/3i
x= +5/3i or -5/3i
Therefore, the set of complex numbers are x= +5/3i and x= -5/3i.
To learn more about the complex numbers visit:
https://brainly.com/question/10251853.
#SPJ5
log, 7 1/2
Solve in exponential form
Answer:
7 = x^1/2.
Step-by-step explanation:
logx 7 = 1/2
Converting to exponential form ( the value of the log is the exponent and x is the base):
7 = x^1/2
If 8% of a number is 40, find 2% of that number.
Answer:
10%
Step-by-step explanation:
0.08×anumber=40,then 0.02x=?
x=40/0.08=500
0.02×500=10
Pls help with this math problem
Answer:
y=1/4x+6
Step-by-step explanation:
The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.
4x4=(blank)+(blank)=blank
Answer:
i think it would be 4x4=8+8=16
What is the process of 8q+6=4q-14
Answer:
Step-by-step explanation:
8q+6=4q-14
minus 4q from both sides to get
4q+6=-14
-6 from both sides
4q=-20
divide by 4
q=-5
we can check if this is right by implementing -5 as a substitute for q
-40+6=-20-14
-34=-34