Answer:
120
Step-by-step explanation:
Connor invested $77,000 in an account paying an interest rate of 4.5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 12 years?
Answer:
There would be $118,580 but to the nearest hundred there would be $118,600.
Step-by-step explanation:
The answer is 118,600 because 4.5% of 77,000 is 3465 and 3465 multiplied by 12 is 41580 and 77,000 plus 41580 is 118,580 but rounded to the nearest hundred it would be 118,600.
P.S Can I have brainliest?
Answer:
this answer is actually correct. the answer is 132100.
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=77000 r=0.045 t=12
Given values
A=77000e^{0.045(12)}
A=77000e
0.045(12)
Plug in
A=77000e^{0.54}
A=77000e
0.54
Multiply
A=132132.528388
A=132132.528388
Use calculator (with e button)
A= aprroximatley 132100
A≈132100
Round to nearest hundred dollars
please heart!
VVV and 5 stars! VVV
first to answer correctly gets brainleist! please i need this asap :)
Answer:
slope = -3; y-intercept = 1/2
Step-by-step explanation:
A way to solve this problem would be to write equations based off of the answer choices on the right, plug the x and y values from the chart into those equations, and see if they are true.
Let's look at the third option choice. Given that the slope = -3 and the y-intercept is 1/2, we can write an equation using the slope-intercept format, y= mx + b, where m is the slope and b is the y-intercept. So, the equation for that would be y= -3x + 1/2.
Let's try plugging in some x and y values and testing if they are true. Let's take the point [tex](-1, 3\frac{1}{2} )[/tex] from the chart for example:
[tex](3\frac{1}{2}) = -3(-1) + \frac{1}{2} \\(3\frac{1}{2}) = 3 + \frac{1}{2} \\3\frac{1}{2}= 3\frac{1}{2}[/tex]
So, since [tex]3\frac{1}{2}[/tex] does equal to [tex]3\frac{1}{2}[/tex], it is true, making that the correct answer. You could plug in any other point from the chart to check, too - it's good to check multiple, but for the sake of brevity, I just put that as one example.
John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for different hours?
A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,15 and 2,30 and 3,45.
A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,150 and 2,150 and 3,150.
A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,30 and 2,60 and 3,90.
A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,60 and 2,120 and 3,180.
Answer:
The third answer
Step-by-step explanation:
1,30 2,60 3,90, and if you keep going, 4,120 5,150
I hope this helps.
For the function f(x) = -3(x-1) find f(0).
Answer:
f(0) = 3
Step-by-step explanation:
f(0) = -3(0-1)
f(0) = -3(-1)
f(0) = 3
yea i need help yolooo
Answer:
you kinda cute ngl...
Step-by-step explanation:
find the circumference of a swimming pool whose diameter is 10 meters
Answer:
31.42
Step-by-step explanation:
radius= half diameter
circumfrence= 2pi*r
you would do pi times 5
Given square JKLM, JK=16. Find JL
Answer:
JL = 16sqrt(2) units or 22.627417 units
Step-by-step explanation:
A square has 4 equally long sides, making all the sides 16 units long.
For a square with side S, the length of the square's diagonal is D=S*sqrt(2), therefore the length of the diagonal is 16sqrt(2) units or 22.627417 units
5) The blade of a wind turbine are 224 feet long. what is the distance
traveled by a point on it's tip as the blade rotates 5/4 of a revolution?
Answer:
Step-by-step explanation:
first note that 5/4 of a revolution comes out to (5/4)(2π) radians, or
5/8 radian. Thus, the distance traveled by the point is
s = rФ, where r is the radius and Ф is the angle through which the blade rotates. Here we have:
s = (224 ft)(5/4)π ft
pls help me im goin cray cray
Answer:
x ≤ 100
Step-by-step explanation:
You need to get the x on one side by itself. Because the x is being divided by -4, you need to multiply -4 by -25. This way, x will be by itself on the left side, and on the right side, you will get 100 after multiplying -4 x -25. You have to flip the greater than or equal symbol because you are bringing a negative number over the sign to the other side.
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. His sample data has a mean of 295 and a sample size of 50. Which of the following correctly depicts the z-statistic for Brett’s data?
Answer:
-5.30
Step-by-step explanation:
The z-statistic of the Brett's data is -5.30
What is z-statistics?The formula for the test statistic depends on whether the population standard deviation (σ) is known or unknown. If σ is known, our hypothesis test is known as a z test and we use the z distribution
What is Standard deviation?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
What is Mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Given,
Population Mean = 310
Standard deviation = 20
Sample data mean = 295
Sample size =50
z-statistic = (Sample data mean - Population mean) / (Standard deviation /[tex]\sqrt{sample size}[/tex])
z-statistic = [tex]\frac{295-310}{20/\sqrt{50} } =-5.30[/tex]
Hence, the z-statistic for Brett's data is -5.30
Learn more about z-statistics, standard deviation and mean here
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Halsey is solving 9.63 ÷ 2.1. What should he do first?
Answer:
Turn 2.1 into a whole number by multiplying it by 10.
Step-by-step explanation:
The first step is to turn the divisor into a whole number. The divisor is 2.1. 2.1 x 10 = 21.
y = x² – 5x + 21
y=6x -9
Answer:
Step-by-step explanation:
The chosen topic is not meant for use with this type of problem. Try the examples below.
Round the number shown to the underlined place value
Answer:
Step-by-step explanation:
7.66
The table shows the distance that two trains are from center station at various times of the day
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Hope this helps..... Stay safe and have a Merry Christmas!!! :D
HELP ME!!! Plss. i will mark brainlist.
Answer:
m = −4 3/5
Step-by-step explanation:
Let's solve your equation step-by-step.
−3=1
3
5
+m
Step 1: Simplify both sides of the equation.
−3=m+
8
5
Step 2: Flip the equation.
m+
8
5
=−3
Step 3: Subtract 8/5 from both sides.
m+
8
5
−
8
5
=−3−
8
5
m=
−23
5
Answer:
im just answering so somone can mark branlest XD
Step-by-step explanation:
this is soo unusefull
Find the area of a circle with a circumference of 50.24 units.
Units²:
Answer:
160.12^2
Step-by-step explanation:
Locksmith Larry charges $90 for a house call plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per hour. Write a one-variable equation for the charges of locksmith Larry
Answer:
Barry: g(x) = 50 + 30x
Larry: f(x) = 90 + 20x
If Locksmith Larry charges $90 for a house call plus $20 per hour. Locksmith Barry charges $50 for a house call plus $30 per hour. Then f(x)=90+20x is one-variable equation for the charges of locksmith Larry
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Locksmith Larry charges $90 for a house call plus $20 per hour
f(x) represents this situation
f(x) equal to ninety plus twenty times of x
f(x)=90+20x
Locksmith Barry charges $50 for a house call plus $30 per hour
g(x) represents this situation
g(x) equal to fifty plus thirty times of x
g(x)=50+30x
Here x represents the number of hours
Hence f(x)=90+20x is the one-variable equation for the charges of locksmith Larry
To learn more on Equation:
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need help ASAP midterm
- 40 points .
Answer:
how do you want me to help you with
Step-by-step explanation:
The depth of snow melting on a sidewalk changes over time. The equation below represents
the depth (d) in inch(es) as time (t) passes. How many inches deep is the snow just before
it begins to melt?
d = -0.51 + 7
0.5 inch
7 inches
-0.5 inch
-7 inches
Answer: the answer is 0.5 inch(es)
Step-by-step explanation:
correct me if i’m wrong
The depth in inches just before snow begins to melt is 7 inches. The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the depth of snow melting on a sidewalk changes over time. The equation below represents the depth (d) in inch(es) as time (t) passes is d = -0.5t +7.
The depth at the beginning is calculated by putting the value of t = 0. At the initial period, the time is zero.
d = -0.5t +7.
d = ( 0.5 x 0 ) + 7
d = 7 inches
Therefore, the depth in inches just before snow begins to melt is 7 inches. The correct option is B.
To know more about an expression follow
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-1 > 10x - 3 ( 3x + 3/2 )
solve the inequality
How many positive four-digit integers consist of four digits that are consecutive integers in increasing or decreasing order
Answer:
For increasing order: 6
For decreasing order:7
Step-by-step explanation:
Case (1):
When the four digits are the consecutive integers in increasing order, then the possible digits at the thousands place (digit 4) are 1,2,3,4,5, and 6.
The numbers formed are 1234, 2345, 3456, 4567, 5678, and 6789.
Therefore, there are 6 four-digit positive integers for increasing order of consecutive digit.
Note that 0 can't be placed at the thousands place to get a four-digit integer.
Case(2):
When the four digits are the consecutive integers in decreasing order, then the possible digits at the unit place (digit 1) are 0, 1,2,3,4,5, and 6.
The numbers formed are 3210, 4321, 5432, 6543, 7654, 8765, 9876.
Therefore, there are 7 four-digit positive integers for decreasing order of consecutive digit.
please guys help me my head is hurting!!!!!!!!
find x if 101 base x =17
Write out the base-x expansion of [tex]101_x[/tex] :
[tex]101_x[/tex] = 1 • x² + 0 • x¹ + 1 • x⁰
This number is equal to 17 (in base 10), so that
x² + 1 = 17
Solve this for x :
x² = 16
x = ±4
(Yes, negative bases are totally valid.)
Which matrix respresents the system of equations shown below?
3x - 2y = 12
4x - y = 9
9514 1404 393
Answer:
B
Step-by-step explanation:
If you remove the variables and the equal signs from the equations and put brackets around what is left, you have the matrix that represents the equations:
[tex]\left[\begin{array}{ccc}3&-2&12\\4&-1&9\end{array}\right] \qquad\textbf{matches B}[/tex]
_____
Additional comment
You need to be sure the variables are in the same order in both equations, as they are here. If there are equations with missing variables, you need to use a zero (0) coefficient in the missing variable's location.
A savings account earns 8% interest each year? If my initial deposit is $300, How much will I have at the end of 1 year?
Answer:
$324
Step-by-step explanation:
it earn 8% interest each year how much at the end of year 1,
to calculate this you multiply 300 by 108% = 300 x 1.08 = 324
help me plz late and i want to go to bed
Answer:
9 15 3
Step-by-step explanation:
Answer:
15 and 9
Step-by-step explanation:
Give brainliest please.
Subtract and add 3 to 12 to get answers of 9 and 15
find slope of line through each pair of points (3,9), (-19, -12)
Find the 83rd term of the arithmetic sequence -23, -26, -29, I need help
Answer:
give more points i might
Step-by-step explanation:
WILL
Answer:
−269
Step-by-step explanation:
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour.A blue candle is 6 inches tall and burns at a rate of 1/5 inch per hour. After how many hours will both candles be the same hight?
Answer:
4 hours
Step-by-step explanation:
Given that:
Initial height of red candle = 8 inches
Rate of burning of red candle = [tex]\frac{7}{10}\ inch/hr[/tex]
Initial height of blue candle = 6 inches
Rate of burning of blue candle = [tex]\frac{1}{5}\ inch/hr[/tex]
To find:
Time taken in hours such that both the candles have the same height.
Solution:
Let the time taken such that both the candles have the same height = [tex]t[/tex] hours
Height of red candle after [tex]t[/tex] hours = [tex](8 - \frac{7}{10}t) \ inches[/tex]
Height of blue candle after [tex]t[/tex] hours = [tex](6 - \frac{1}{5}t) \ inches[/tex]
Writing both the expressions as equal:
[tex]8-\dfrac{7}{10}t=6-\dfrac{1}{5}t\\\Rightarrow 8-6=\dfrac{7}{10}-\dfrac{1}{5}t\\\Rightarrow 2 = (\dfrac{7-2}{10})t\\\Rightarrow \dfrac{5t}{10}=2\\\Rightarrow t=4\ hours[/tex]
After 4 hours, height of both the candles will be same.
Which of the following statements contain a variable? Check all that apply.
A. Eighty miles per hour.
B. The number of different colors on the page.
C. Half the speed of the car.
D. They scored 27 points.
SUBMIT
Find the solutions to the equation StartRoot 3 EndRoot sine (StartFraction x Over 2 EndFraction) + cosine x = 1 if 0° ≤ < 360°. Check all that apply.
Answer:
The correct answers are 0°, 120°, and 240°
Answer:
a, b , e
Step-by-step explanation:
on edge
