To ensure that funds are available to repay the principal at maturity, a borrower deposits $2000 each year for three years. If interest is 6% compounded quarterly, how much will the borrower have on deposit four years after the first deposit was made?
Answer:
$2,391.20
Step-by-step explanation:
A= P (1+r/n)^nt
Where:
A = is the amount of money accumulated after n years, including interest.
P = is the principal (the initial amount you borrow or deposit)
r = is the annual rate of interest (percentage)
t = is the number of years the amount is deposited or borrowed for.
n = number of times interest is compounded per year
A= $2,000 (1+0.06/4)^4*3
= $2,000 (1+0.015)^12
= $2,000 (1.015)^12
= $2,000 (1.1956)
= $2,391.20
Help asppp pleaseee!!!!!
Find the square root of the number.
✓ =18
The square root is
Answer:
THE SQUARE ROOT IS 4.243
Step-by-step explanation:
How long will it take to fill the tank of 40 gallons of water
Answer:
10-15 mins
Step-by-step explanation:
Answer:
10-15 minutes
Step-by-step explanation:
im not sure though because you didn't give me enough information
I need help please I don’t understand this
Answer:
f(1)= 1
Step-by-step explanation:
So assuming you're doing basic functions, f(x) just means "function of x".
This means that x is your input. So once you plug in the x value, you will see that when the x value of your function is 1, the y value is 1 as well.
This will be marked brainliest if correct ok?
2 in a half from f 2 and a half (2 1/2) units down from line. I'm not sure though but you just have to listen to your teacher help yall learn and you'll know! PLSSS MARK ME BRAINLIEST OR COMMENT ME OR STAR ME OR THANK ME OR SOMETHING PLSSS
Solve for y
3x = 5у - ху
Answer:
yo i think the answer is y=5 but not sure bro.
Step-by-step explanation:
. The probability of drawing a blue cube from a hat is 80%. What is the probability of drawing 4 blue cubes in a row
Given:
The probability of drawing a blue cube from a hat is 80%.
To find:
The probability of drawing 4 blue cubes in a row.
Solution:
Let E be the event of drawing a blue cube from a hat.
[tex]P(E)=80\%[/tex]
[tex]P(E)=\dfrac{80}{100}[/tex]
[tex]P(E)=0.8[/tex]
We need to find the probability of drawing 4 blue cubes in a row.
Let as consider each cube is replaced after being drawn. So, that probability of drawing a blue cube from a hat remains same.
Probability of drawing 4 blue cubes in a row is
[tex]P(E)\times P(E)\times P(E)\times P(E)=(P(E))^4[/tex]
[tex]=(0.8)^4[/tex]
[tex]=0.4096[/tex]
Therefore, the required probability is 0.4096.
Hallar alfa con los datos dados en la foto
Answer:
English
Step-by-step explanation:
hola soy dora dododododo Dora dododododo dora
The amount of tax for another camera is $5.25 and the tax rate is 6%. Use the given equation to find the price before tax.
Answer:
0.31 *rounded to the nearest thousendth.*
Step-by-step explanation:
$5.25*6/100=Your tax
Answer:
$ 87.50
Step-by-step explanation:
First, identify what is given from the problem:
Tax Amount = $5.25
Tax Rate = 6%
Original Cost = ?
Then let us state the original formula stated from the problem.
Tax Amount = (Original Cost)(Percent)
Since the Percent in our equation is the Tax Rate, let us substitute it to avoid confusion.
Tax Amount = (Original Cost)(Tax Rate)
The Original cost is the only unknown in this equation as stated from the given. Now we need to arrange first the equation so that the unknown should be on the left side.
(Original Cost)(Tax Rate) = Tax Amount
To remove the Tax Rate to be multiplied to the Original Cost, let us divide both side by the same Tax Rate. This holds true to all as long as what you did on the left side of the equation should be done on the right side of the equation.
(Original Cost)(Tax Rate) / (Tax Rate) = (Tax Amount) / (Tax Rate)
This will cancel the Tax Rate on the left side of the equation to yield to a new formula for the Original Cost.
Original Cost = (Tax Amount) / (Tax Rate)
We can then substitute the values to solve the problem
Original Cost = $ 5.25 / 0.06
Original Cost = $ 87.50
Therefore the original price before tax is $ 87.50
Answer 15 and I’ll give you a free cookie
Answer:
15
Thanks, lolllllllllll
Answer:
15
Step-by-step explanation:
A new food delivery robot on a college campus is doing test runs at a constant speed of 4 miles per hour. The average test run is 3 miles from
the campus cafeteria but varles a distance of 1.5 miles more or less than that.
If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in
hours) for a test run is
A. | 3x - 4 | = 1.5
B. | 4x - 3 | = 1.5
C. | 4x - 1.5 | = 3
D. | 3x - 1.5 | = 4
For each test run, the minimum time is
A. 0.375
B. 0.625
C. 0.75
D. 0.83
and the maximum time is
A. 2.125
B. 1.125
C. 1.875
D. 1.83
Answer: B.
Step-by-step explanation:
Let x = Number of hours the robot is performing a test run.
Given: Constant speed = 4 miles per hour
Average test run = 3 miles
Since Distance = speed x time
As per given,
(Constant speed) ( Number of hours) -(average test run) = (distance varies)
|4x-3|=1.5
Hence, the correct option is B.
Suppose the equation of the line s is y=2. What are the coordinates of triangle a’b’c for Rs
Answer:
ad by8d= 2by3
= ad= 2I
8d=3k
ab= adplus8d
= 2kplus3k= 5k
1. The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. a. What is the probability that you wait longer than one hour for a taxi
Answer:
The answer is below
Step-by-step explanation:
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (c) Determine x such that the probability that you wait more than x minutes is 0.10. (d) Determine x such that the probability that you wait less than x minutes is 0.90.
Answer:
A continuous variable is has a probability distribution function as:
[tex]f(x)=\lambda e^{-\lambda x}[/tex]
A continuous variable is has a cumulative distribution function as:
[tex]F(x)=1- e^{-\lambda x}[/tex]
Given mean = 10 minutes
[tex]mean=\frac{1}{\lambda}\\ \\10=\frac{1}{\lambda}\\\\\lambda=\frac{1}{10}[/tex]
a) P(X > 1 hour) = P(X > 60 minutes) = 1 - F(60) = [tex]1-[1-e^{-60*0.1}]=0.0025[/tex]
b) P(X < 70 | x > 60) = P(X < 10) = [tex]1-e^{-10*0.1}=0.6321[/tex]
c) 0.1 = P(X > x)
0.1 = 1 - F(x)
[tex]0.1=1-[1-e^{-0.1*x}\\\\0.1=e^{-0.1x}\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]
d) 0.9 = P(X < x)
0.9 = F(x)
[tex]0.9=1-e^{-0.1*x}\\\\e^{-0.1x}=1-0.9\\\\e^{-0.1x}=0.1\\\\ln(0.1)=-0.1x\\\\-2.3=-0.1x\\\\x=23\ minutes[/tex]
Today only, a table is being sold at a 15% discount. The sale price is $629.What was the price yesterday?
The original price is $740.
[tex] \frac{(100 - 15)}{100} = \frac{629}{x} [/tex]
[tex]85x = 62900[/tex]
[tex]62900 \div 85 = x[/tex]
[tex]x = 740[/tex]
Let me know if you need more help understanding. :)
Medical records indicate that people with more education tend to live longer; the correlation is 0.48. The slope of the linear model that predicts lifespan from years of education suggests that on average people tend to live 0.8 extra years for each additional year of education they have. The slope of the line that would predict years of education from lifespan is
Answer:
0.288
Step-by-step explanation:
Given that :
Correlation (R) = 0.48
Slope of linear model which predicts Lifespan from years of education (m) = 0.8
To determine the value of slope of the model which predicts years of eductauoon from lifespan:
The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education
Hence,
(R² * 1/m)
0.48² * 1/0.8
0.2304 * 1.25
= 0.288
A faucet leaks at a rate of 2 milliliters per second. What is the rate in liters per minute?
A
12 -
B
0.12 L/min
12LT
D
120 L/min
Answer: 0.12 per minute
Step-by-step explanation: I actually had to reread this one a couple times, as the setup is a bit confusing. Here's how I would solve it personally:
1. Since it's leaking 2ml per second, and there are 60 seconds in a minute, multiply 2ml times 60 seconds to get 120ml every minute.
2. 1ml equals 0.001 liters, so multiply 120ml by 0.001 to find out how many liters that is. 120(0.001)=0.12.
Hope this helps,
Lacia
Give the ordered pair coordinate of any point. in quadrant 2
Answer:
(-3,5) (-1,6)
Step-by-step explanation:
In quadrant 2, the x-axis is negative while the y-axis is a positive
~~~Hope this helps~~~ :)
An investment of 90,600.00 earns 15.6% annual interest, compounded continuously. If no funds are added or removed from this account what is the future
value of the investment after 14 years? Round your answer to the nearest penny.
Answer:
jeje
Step-by-step explanation:
hablesl ese
GUYSSS PLSSS I GIVE BRAINLIESSTTTT
Answer:
4. is x = 9
but I don't know about 5. sorry.
Step-by-step explanation:
5x + 3 = 48
-3. -3
5x = 45
5. 5
x = 9
5(9) + 3 = 48
48 = 48
Show your work 28÷776
Answer:
27.7142857143 this is the awnser
plz answer this don't scroll past!!!!
Answer:
C
Step-by-step explanation:
3 * 6 = 18
30% of 60 = 18
Answer:
The answer is C
which pair of lines are perpendicular lines? A. y= 4x -6 y= 4x + 11 B. y= -4x -6 y= 4x + 11 C. y=1/4 x -6 y= 4x + 11 D. y= -1/4x - 6 y= 4x + 11
HELP WILL GIVE BRANLIEST! Please give an explanation
How many apples can you fit in your mouth?
Step-by-step explanation:
i can fit 2 in my mouth 3 pushing
A line has a slope of -3 and a y-intercept of 3.
What is the x-intercept of the line?
Answer:
x=-1
Step-by-step explanation:
y=-3x+3 would be the equation of the line. set y to 0 to get x intercept. 0=3x+3 x=-1
Answer:
X=1
Step-by-step explanation:
(WILL GIVE BRAINLEST AND 100 POINTS)
6 + (4+9) =19 Rewrite using the Associative Property
75 X 9= 675 Rewrite using the Distrubutive Property
6 X 4 X 5= 120 Rewrite using the Commutative Property
Answer:
4+(6+9)=19675÷9=755*4*6=120Step-by-step explanation:
I hope this helps you and I'm sorry for the other answer people gave you, have a good day!
A soft drink machine outputs a mean of 24 ounces per cup. The machine's output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 18 and 30 ounces
Answer:
The probability is 0.9545
Step-by-step explanation:
We start by using z-scores here
Mathematically;
z-score = (x-mean)/SD
mean = 24 ounces
SD = 3 ounces
For 18, we have
z-score = (18-24)/3 = -6/3 = -2
For 30, we have
z-score = (30-24)/3 = 6/3 = 2
So the probability we want to calculate is;
P( -2 < x < 2)
We can use the standard normal distribution table for this
From the standard normal distribution table;
P(-2 < x < 2) = 0.9545
what is 9/16 simplyfied
Translate the English phrase into an algebraic expression: the product of 9 and 7.
Answer: 9 × 7 = x
Step-by-step explanation:
Product means the solution to two numbers being multiplied, in this case it's 9×7. Answer to that equation is 63
Please, I need help.
Answer:
Step-by-step explanation:
3
2 cups because it goes up by 1/2, and one half + one half = a whole, so it is 2.
4: 12 feet. All you do is multiply 6 by 2.
TRUST