Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
Use the fishbowl to answer the following question.
a. How many fish are there in the bowl? fish.
b. Which color fish has the highest probability of being fished?
c. What is the probability of choosing this color?
Fraction
Decimal (provide the first 5 decimal numbers & yes round the number)
Percent % (round to the nearest tenth)
Answer:
a) 14
b) green
c) fraction 6/14
percentage: 42.8% rounded: 40%
not sure about the decimal tho
Answer:
a) 14
b) green
c) 6/14
d)percent 42.8 %
round up 40 %
How do I find the area of this figure?
Answer:
140 units^2
Step-by-step explanation:
Area of a parallelogram is base times height, A = bh. Multiply the height (10) times the base (14) to get your final answer.
A = bh
A=14(10)
A=140units^2
Ling likes to listen to different types of music. One afternoon, she listened to 4 rap and 12 country songs. How can you describe the relationship between rap and country songs? Check all that apply.
1. For every 12 rap songs Ling listened to, she listened to 4 country songs.
2. For every rap song Ling listened to, she listened to 3 country songs.
3. Ling listened to 3 times as many country songs as rap songs.
4. Ling listened to a ratio of 4 rap songs to 12 country songs.
Answer:
For every rap song Ling listened to, she listened to 3 country songs.
Ling listened to 3 times as many country songs as rap songs.
Ling listened to a ratio of 4 rap songs to 12 country songs.
Step-by-step explanation:
Answer:
2,3,4
Step-by-step explanation:
1. Find the measure of
Answer:
39 degrees
Step-by-step explanation:
It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.
Answer:
b = 39°
Step-by-step explanation:
The box means that it is a right angle and a right angle means it is 90 degrees.
90 degrees - 51 degrees = 39 degrees
b = 39°
How many ways can you select 2 pieces of fruits from a basket of 8 pieces?
Answer: 56
Step-by-step explanation:
There are 8 pieces of fruit to choose from.
When you choose the next piece, there are only 7 pieces remaining to choose from.
First pick and Second pick
8 x 7 remaining = 56
compared to jenny, sally is 5/6 as tall and may is 4/5 as tall. How many time taller is sally than may
Answer:
25/24
Step-by-step explanation:
Let
Sally=S
May=M
Sally is 5/6 as tall
S = 5/6
May is 4/5 as tall
M = 4/5
S/M = 5/6/4/5
=5/6×5/4
=25/24
A hemispherical bowl of internal diameter
36 cm
contains liquid. This liquid is to
be filled in cylindřical glasses of
diameter
6cm and
of
height
6cm. Find the
number of
glasses that can be filled
Answer: 72 bottles
Given,
internal diameter=36cm
internal radius=36/2=18cm
volume of bowl=2/3 πr³
=2/3(22/7)(18³)
=2×22×18³/7×3
=12219.4cm³
volume of bottle=πR²h
=22/7(3²)(6)
=22×9×6/7
=169.7cm³
no. of bottles required=12219.4/169.7
=72.23=72 bottles approx
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?
Answer:
135ft^3
Step-by-step explanation:
Multiply all of the numbers to get your answer.
Write 9.13 x 10-3 as an ordinary number.
Please
Answer:
913/100 and 10/10000
Step-by-step explanation:
913/100 = 9.13
10/10000 = 10^-3
9.13 x 10^-3 = 0.00913
Answer:
0.00913
Step-by-step explanation:
9.13 x 10-3 as an ordinary number means eliminating the standard form.
10^-3 is 1/1000
Hence 9.13 x 10-3 = 9.13 × 1/ 1000
9.13/1000= 0.00913
How much water can a rectangular pool hold if it has a length of 30 feet, a width of 25 feet, and is 8 feet deep?
Answer:
44,886 gallons
Step-by-step explanation:
We need to find the volume
V = l*w*h
V = 30ft*25ft*8ft
V =6000 ft^3
We know that 1 ft^3 = 7.481 gallons
6000 ft^3 * 7.481 gallons/1 ft^3 = 44886 gallons
Answer:
44,883 gallons
Step-by-step explanation:
The amount of water the pool can hold can be found by calculating the volume of the pool.
We know that the pool is rectangular, and it is a three dimensional shape (3 dimensions: length, width and depth). Therefore, we can use the formula for finding the volume of a rectangular prism:
V=l*w*h
We know the length is 30 feet and the width is 25 feet. The height is also the depth, so the height is 8 feet.
l= 30 feet
w=25 feet
h= 8 feet
Substitute these values into the formula.
V= 30 feet * 25 feet * 8 feet
Multiply the numbers together.
V= (30 feet * 25 feet) * 8 feet
V= 750 feet^2 * 8 feet
V=6000 feet^3
Now, let's find how many gallons the pool can hold.
1 ft^3 is equal to 7.4805 gallons. Therefore, we can multiply 6000 ft^3 and 7.4805
6000 ft^3 * 7.4805 gallons/1 ft^3
6000* 7.4805 gallons
44,883 gallons
The pool can hold 44,883 gallons of water.
Help someone cuhh please like omg
Answer:
5^1
Step-by-step explanation:
5^6/5^5
5^(6-5)
5^1
Answer:
5
Step-by-step explanation:
5^6=15625
5^5=3125
15,625/3,125=5
Hope this helps!
Solve for the value of x that would make line a parallel to line t?
Answer:
The value of [tex]x[/tex]:
[tex]x = 44[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]2(x + 10) = 3(x-8)[/tex]
Use Distributive Property:
[tex]2(x + 10) = 3(x-8)[/tex]
[tex]2x +20 = 3x - 24[/tex]
-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:
[tex]2x +20 - 3x = 3x - 3x - 24[/tex]
[tex]-x + 20 = -24[/tex]
-Subtract both sides by [tex]20[/tex]:
[tex]-x + 20 - 20 = - 24 - 20[/tex]
[tex]-x = -44[/tex]
Divide both sides by [tex]-1[/tex]:
[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]
[tex]x = 44[/tex]
So, the final answer would be [tex]x = 44[/tex].
Suppose f(x) = x^2 and g(x) = (1/4)^2. Which statement best compares the graph of g(x) with the graph of f(x)
Answer:
g(x) is the image of f(x) after stretched horizontally by scale factor = 4
Step-by-step explanation:
The statement that best compares the graph of g(x) with the graph of f(x) says g(x) is the image of f(x) after stretched horizontally by scale factor = 4 because:
Given the function
f(x) = x² and g(x) = (1/4x)² the image of f(x) after one transformation.
The transformation shows that g(x) stretches away from y-axis.
Since the transformation is stretched horizontally. So g(x) is the image of f(x) after stretched horizontally by scale factor (I.e. by 1).
Then we use the scale factor to divide g(x)
1 ÷ ¼ = 1 x 4/1 = 4
So therefore, g(x) is the image of f(x) after stretched horizontally by scale factor = 4
what is 1.8 increased by 10??
Answer:
zdsczsczscs
Step-by-step explanation:
George used the diagram below to help determine 30% of 60. Which expression could George have used?
Answer:
(3)(6)
Step-by-step explanation:
1st. Find the answer(60*30%=18)
2nd. Find the option that equals 18 which was (3)(6)
Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.
Answer:
(3)(6)
Step-by-step explanation:
i did the test
This month the local power company charges $9.12 per kilowatt-hour for electricity. Write an equation that represents the total amount a customer will pay for their usage.
Answer:
9.12 x time x kilowatt
Step-by-step explanation:
When simplifying square root expressions, look for any ___________ that can be pulled out of the radical.
Answer:
perfect square number
Step-by-step explanation:
When simplifying square root expressions, look for any perfect square
that can be pulled out of the radical.
Given that,
When simplifying square root expressions, look for any ___________ that can be pulled out of the radical. blank space to be filled.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
When simplifying the square root we see the number that is perfect squares, because only a perfect square can be pulled out from the square root.
Thus, When simplifying square root expressions, look for any perfect square that can be pulled out of the radical.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only . What is the number of the students who were there altogether ( universal set)
Answer:
23 students
Step-by-step explanation:
In a group of students , 12 read maths, 15 read statistics , 11 read physics, 4 read maths only , 7 read statistics only, 3 read statistics and physics only and 1 read maths and statistics only.
Those that read maths only = 4, Those that read statistic only =7, Those that read statistics and physics only = 3, those that read maths and statistics only = 1.
Therefore those that read all three subjects = 15 - 7 - 3 - 1 = 4
Those that read maths and physics only = 12 - 4 - 4 - 1 = 3
Those that read physics only = 11 - 3 - 4 - 3 = 1
The number students = 4 + 7 + 3 + 1 + 4 + 3 + 1 = 23 students
1. 2x + 5 = 3x + 1
2. 3x + 2 = 4x - 3
3. 4x - 3 = 3x + 3
Pls help equations. Find x, show workings. You are the best but answer only if u know it. If I report ur answer know that that's not the right answer. Love you all.Don't just work rubbish for points.
Answer:
1)4
2)5
3)6
Step-by-step explanation:
1)2x+5=3x+1
2x-3x=1-5
-1x=-4
x=4
2)3x+2=4x-3
3x-4x=-3-2
-1x=-5
x=5
3)4x-3=3x+3
4x-3x=3+3
1x=6
x=6
Hope it helps
what is a slope of the line?
Answer
0
Step-by-step explanation:
A horizontal line has a slope of 0 always
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people
Answer:
square table, round tables and 12
Step-by-step explanation:
The variable x represents the number of
✔ square tables
.
The variable y represents the number of
✔ round tables
.
If y = 9, find the value of x. The committee needs
✔ 12
square tables.
The 102nd floor of the sears tower in Chicago is the highest occupied floor. It is 1,431 feet above the ground . How many yards above the ground is the 102nd floor
Answer:
477 yards
Step-by-step explanation:
1 foot to a yard is 0.333333.
1431 times 0.333333=477yards
Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185
Answer: 19, 180, 181
Step-by-step explanation:
a^2 + b^2 = c^2
19^2 = 361
180^2 = 32,400
32,400 + 361 = 32,761
Square root of 32,761 = 181
Answer:
19,180,181
Step-by-step explanation:
I'm not rlly sure how to explain but I hope this helps though..!
please help i don’t understand what so ever
Answer:
x=6
Step-by-step explanation:
Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:
[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]
Hope this helps!
Answer:
6
Step-by-step explanation:
By Pythagoras theorem
10^2 = 8^2 + x^2
100= 64 + x^2
X^2 =100-64
X^2= 36
[tex]x = \sqrt{36} \\ x = 6[/tex]
Hope this helps..
Jada is solving the equation shown below.
Negative one-half (x + 4) = 6
Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).
Answer:
Distribute -1/2 over (x - 4)
Divide both sides of the equation by -2
The first step to begin to simplify the equation is to multiply both sides of the equation by -2
To find the first step to simplify the equation.
Given:The given equation
=-1/2(x + 4) = 6
Simplification:First, we will multiply both sides of the equation by -2
we get,
x + 4 = -12
x = -12-4 = -16
Hence, the value of x is -16.
Therefore, the first step is to multiply both sides of the equation by -2.
To learn how to find the first step to simplify the equation, refer:
https://brainly.com/question/4411741#SPJ2
Need help with this asap plz❤️
What question are you needed answers to?
84 is 12%of what number
please hurry!!!!!!
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
For a polynomial function y = f(x), where f(1/3)=0, one of the factor would be
Answer:
(x-1/3) is one of the factors
Step-by-step explanation:
Using the reverse of the zero product property
(x-a) = 0 where a is one of the roots
x-1/3 = 0
(x-1/3) is one of the factors
Answer:
x-1/3) is the answer
Step-by-step explanation:
zero product property
can someone help me solve this
Answer:
option 3
Step-by-step explanation:
[tex](\sqrt[3]{8})^{\frac{1}{4}x}=(8^{\frac{1}{3}})^{\frac{1}{4}x}\\\\=8^{\frac{1}{3}*\frac{1}{4}x}\\\\=8^{\frac{1}{12}x}\\\\=\sqrt[12]{8}^{x}[/tex]