Answer:
Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!
Step-by-step explanation:
Round number to the underline digit 45.398 The underline digit is 3.
It costs $19.50 for postage and $5 for insurance to send a one-pound box by Express Mail.
How much does it cost to send 12 one-pound boxes by Express Mail?
A rickshaw company counted 39 ticket receipts last week. The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week. Let x represent the number of weekend tickets and y represent the number of weekday tickets. Which system of equations represents the situation
Answer:
x+y = 39 and 14y+19=666
Step-by-step explanation:
Let x is the no of tickets for the weekend and y for the weekday.
The price for a weekday ticket is $7, and the price for a weekend ticket is $9.50. The rickshaw driver collected a total of $333 for the week.
Equation (1) should be :
x+y = 39 (because a rickshaw company counted 39 ticket receipts last week)
Equation (b) should be :
7y+9.5=333
Multiplying both sides by 2.
14y+19=666
Hence, the two equations that represent the situation are :
x+y = 39 and 14y+19=666
Answer: y = -x + 39
14y = -19x + 666
Step-by-step explanation:
There are two relationships given in the question. These are the number of tickets sold and the cost of the tickets sold. The total number of weekend and weekday ticket receipts is 39. This gives the equation x+y=39. Solving this equation for y gives y=−x+39. Now, we write an equation for the cost of the tickets sold. A weekday ticket costs $7, a weekend ticket costs $9.50, and the total money collected was $333. This gives the equation 7y+9.5x=333. Multiplying both sides by 2 to clear the decimal gives 14y+19x=666. This is equivalent to 14y=−19x+666.
i mark as brainliest
Answer:
195
Step-by-step explanation:
Hope This Helps!
Question 2 of 5
Select the story problem that this division problem represents.
3
4
1
5
A. A mosaic has an area of square foot and a width of foot.
What is the length of the mosaic?
B. A piece of wrapping paper is yard wide and yard long. What is
the area of the wrapping paper?
C. The area of a wetland is į square mile, and it is mile in length.
How wide is the wetland?
D. A whiteboard is meter long and has an area of 1 square meter.
How wide is the whiteboard?
Answer:
The answer is below
Step-by-step explanation:
A) Given that the area of the square a square foot = 1 ft², the width = 1 foot
Area = length × width
1 ft² = length × 1 ft
Length = 1 ft²/ 1 ft = 1 ft
B) Given that length of wrapping paper = 1 yd, width = 1 yd.
The area of the paper = length × width = 1 yd × 1 yd = 1 yd²
C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile
Area = length × width
1 mile² = 1 mile × width
width = 1 mile²/ 1 mile = 1 mile
D) Given that the area of the square a square meter = 1 m², the length = 1 meter
Area = length × width
1 m² = 1 m × width
width = 1 m²/ 1 m = 1 m
Greatest common factor of 36
Answer:
1,2,3,4,6,9,12,18, 36
Step-by-step explanation:
18 is the GCF of 36.
You can't multiply any other number with its 2 to be 36.
So 18 x 2 =36
!!!!HELPPPPPPPP ASAP!!!!
Answer:
first one is -1
second one is 0
third one is 6
last one is 2
Step-by-step explanation:
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards
Answer :1,760 1,760 1,760 1,760 1,760
Answer:
The distance between Kevin's school and his house is 9,152 yards
Step-by-step explanation:
Units Conversion
Some common length units are meters, centimeters, inches, feet, miles, kilometers, and yards.
There are fixed numbers to convert one into another. For example:
1 mile = 1,760 yards
Since Kevin's school is 5.2 miles away from his house, that distance converted to yards is:
5.2 * 1,760 = 9,152
The distance between Kevin's school and his house is 9,152 yards
There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?
Answer:
32 inches
Step-by-step explanation:
Because height times width equals area,
we can divide 112 by 3.5 to get the width
So it is 32 inches
I’m not well with percentages lol. Can someone help me with solving it and answer
Answer:
1. Dracula Answer: D) 12.5%
2. Jack-O-Lantern Answer: D) 40%
Step-by-step explanation:
1. 54 - 48 = 6
6/48 = 0.125 x 100 = 12.5%
2. $20 - $12 = 8
8/20 = 0.4 x 100 = 40%
f(x) = 4x + 3 and g(x) = x - 2
Solve:
g(f(x)) =
Answer:
I don't know i just came to get the 20 points THX
Step-by-step explanation:
You should ask your teacher
which expression means 8 less twice a number
8-2n
2n-8
Answer:
I think 2n-8 because you are taking 8 away from 2 times a number
Step-by-step explanation:
2. The snow at Afton Alps is 3 meters deep when it starts snowing. After 3 hours the snow is 3.6 meters deep. What
is the rate of change of snowfall in meters per hour?
sams cola 0-0 T-T :-(
explicit form of x^2 - y^2 = 25
Answer: x - y = 5
Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x
Rob lost 24 lounds in 6 months of his diet, then lost 16 pounds in 2 months. Find his average weight lost.
Answer:
4 pounds a month
Step-by-step explanation:
is that what you're looking for
The average weight lost per month is 5 pounds.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.
Total weight lost = 24 + 16 = 40 pounds
Total time taken to lose the weight = 6 + 2 = 8 months
Average weight lost = Total weight / Total time
= 40 / 8
= 5
Hence there is a weight of 5 pounds lost per month.
To learn more about Division, click on the link given below :
https://brainly.com/question/21416852
#SPJ2
PLEASE HELP ME!
I would really appreciate it.
Answer:
Step-by-step explanation:
It's D the reasoning here is just look at the points at the graph and their x y coordinate
Question 1
In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.
Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your ans
Answer and Step-by-step explanation:
Part A: Exponential equation is the "opposite" of logarithmic equation, so:
[tex]y=log_{b}m[/tex]
[tex]b^{y}=m[/tex]
Part B: Using log with base c:
[tex]log_{c}b^{y}=log_{c}m[/tex]
Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:
[tex]ylog_{c}b=log_{c}m[/tex]
Solving for y:
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform
[tex]y=log_{b}m[/tex]
into
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part D: [tex](log_{3}z)(log_{z}27)[/tex]
Change of base will be:
[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]
[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]
Solving:
[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = 3
Part E: [tex]log_{7}300[/tex]
Using change of base:
[tex]log_{7}300=\frac{log300}{log7}[/tex]
[tex]log_{7}300=\frac{2.48}{0.85}[/tex]
[tex]log_{7}300[/tex] ≈ 3
Priya bought x grams of flour. Clare bought 3/8 more than that.
Select all equations that represent the relationship between the amount of flour that Priya bought, x and the amount of flour that Clare bought, y
a) y= 3/8x
b) y = 5/8x
c) y= x+ 3/8x
d) y= x - 3/8x
e) y= 11/8x
Answer:
It would be C and E
Step-by-step explanation:
I know I'm extremely late but for anyone else who needs to know here you go :)
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?
Answer:
2 mi per hour
Step-by-step explanation:
1/3*6=
6/3= 2
2 mi per hour
Answer:
2mph
Step-by-step explanation:
If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.
[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:
[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]
The person is walking 2mph
4/5 to a decimal show work
2/3 to a decimal show work
Answer:
4/5= 0.8
2/3= 0.66666666667
Step-by-step explanation:
Can someone help pls :)
Answer:
21,42,63,84,105
Step-by-step explanation:
Answer:
21x1=21
21x2=42
21x3=63
21x4= 84
21x5=105
Step-by-step explanation:
If the probability that it will rain tomorrow is 0.39 what is the probability that it will not rain tomorrow
Answer:
0.61
Step-by-step explanation:
probability is out of 100 so if you do 100-39
you get 61
Expression to the same value as 10 to the power of six
Answer:
10+10+10+10+10+10=1000000
Step-by-step explanation:
Help me find the slope of this problem ??
g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.
Answer:
Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.
Step-by-step explanation:
Central theorem:
Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies. Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.Statement:
If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]
standard deviation = [tex]\sigma[/tex]
After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which
mean = [tex]\mu[/tex] and
default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]
helllllpppppp pleasxee huryyyyy
Answer:
Bottom left
Step-by-step explanation:
Function: each x only has one y, and this is the only graph that fits the description
Find the value of x. 4^3 = x
Answer:
x=64
Step-by-step explanation: