Answer:
The rate of interest was approx 5.64%.
Step-by-step explanation:
The compound interest formula is :
[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]
Here p = 4400
r = ?
n = 1
t = 5
A = 5790
Now putting the values in formula we get;
[tex]5790=4400(1+\frac{r}{1} )^{5}[/tex]
=> [tex]5790=4400(1+r )^{5}[/tex]
=> [tex]\frac{5790}{4400} =(1+r )^{5}[/tex]
=> [tex]1.316=(1+r )^{5}[/tex]
=> [tex]1+r=\sqrt[5]{1.316}[/tex]
r = 0.0564
In percentage it is [tex]0.0564\times100[/tex] = 5.64%
Hence, the rate of interest was approx 5.64%.
At a home improvement store, you
decide to purchase a hammer and
a pack of nails. The hammer costs
$8.53. The pack of nails costs $0.87.
What is the total cost? How much
change will you receive if you pay
with a $10 bill? a $20 bill?
Answer:
$9.40, $0.60, $10.60
Step-by-step explanation:
$8.53 + $0.87 = $9.40
$10 - $9.40 = $0.60
$20 - $9.40 = $10.60
Answer:
8,53+0,87=$9,40
if you pay $10 - 9,40 = $0,60 ( you will get $0,60 back )
if you pay $20 -9,40 = $10,60 ( you will get $10,60 back )
Step-by-step explanation:
eight times a number equals 35 more than the number. find the number
help quick because i’m rlly confused
Emily is itemizing deductions on her federal income tax return and had $5200
in medical expenses last year. If her AGI was $43,000, and if medical
expenses are deductible to the extent that they exceed 7.5% of a taxpayer's
AGI, how much can Emily deduct for medical expenses?
Answer:
Emily can deduct $1975 for medical expenses.
Step-by-step explanation:
Emily is itemizing deductions on her federal income tax return and had $5200. Her AGI was $43,000.
We have:
The AGI is =$43,000
Medical expenses amount = $5200
If medical expenses are deductible to the extent that they exceed 7.5% or 0.075 of a taxpayer’s AGI, means = 43,000 * 0.075 = $3225
Now the deductible amount is = $5200 - $3225 = $ 1975
Hence,Emily can deduct $1975 for medical expenses.
Answer:
Emily can deduct the $1,975 in medical expenses from her adjusted gross income.
Step-by-step explanation:
Before an individual could deduct medical expenses as long as they exceeded 7.5% of their adjusted gross income (currently it's 10%).
If Emily's AGI = $43,000, then she will be able to deduct medical expenses that exceed $3,225 (= $43,000 x 7.5%).
Emily's medical expense deductions = $5,200 - $3,225 = $1,975.
If this situation happened this year, Emily would have only been able to deduct $900 [= $5,200 - ($43,000 x 10%)]
PLEASEEEEEEEE!!!!! I need help ASAP
Hello!
A, and C
B is just a number. D is a term. anything with an equal sign is considered a mathematical equation/sentence
I hope this helps, and have a nice day!
Answer:
The answers are A and C
Step-by-step explanation:
A and C are correct mathematical sentences.
B is just a coefficient
Also D is simply the factor of 2 and x or twice a number but not a sentence.
Hope this helps. Que, brainliest is appreciated if I have earned it.
Fine the slope from the pair of points (2,-3) (-4,3)
Answer:
-1
Step-by-step explanation:
First do the slope formula
y2-y1/x2-x1 so
3-(-3)/-4-2
6/-6=-1
Acme Movers charges $175 plus $40 per hour to move household goods across town. Hank’s Movers charges $75 per hour. For what lengths of time does it cost less to hire Hank’s Movers?
Answer:
If the time is less than 5 hours cost less to hire Hank’s Movers
Step-by-step explanation:
Let
y -----> charge to move household goods across town.
x ----> number of hours
we know that
Acme Movers
y=40x+175 ------> equation A
Hank’s Movers
y=75x ------> equation B
Equate equation A and equation B
75x=40x+175
solve for x
75x-40x=175
35x=175
x=5 hours
For x=5 hours the charge is the same in both company
therefore
For x < 5 hours cost less to hire Hank’s Movers
Write 175% as a fraction and as a decimal
Answer:
As a fraction: 7/4
As a decimal: 1.75
Hope this helps!
How to solve
-3(x+4)=-15
Answer:
x=1 -3(1+4)=-15
Step-by-step explanation:
-3(x+4)=-15
---------------
-3 -3
x+4= 5
-4=-4
x=1
That should be right
-3(x+4)=-15
mutiply the bracket by -3
(-3)(x)= -3x
(-3)(4)=-12
-3x-12= -15
move -12 to the other side
sign changes from -12 to +12
-3x-12+12= -15+12
-3x= -15+12
-3x= -3
divide both sides by -3
to get + x and by itself
-3x/-3= -3/-3
Answer:
x= 1
Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
a. How many boxes will be needed for Polly to bring all the cupcakes to the party? Explain how you know.
b. If the bakery completely fills as many boxes as possible, what fraction of the last box is empty? How many more cupcakes are needed to fill this box?
Answer:
Part a) The number of boxes needed will be 4
part b) The fraction of the box that is empty is [tex]\frac{1}{2}[/tex]
Part c) Are needed 2 cupcakes to fill the last box
Step-by-step explanation:
Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?
To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).
so
[tex]\frac{14}{4}=3.5\ box[/tex]
Round up
The number of boxes needed will be 4
Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?
we know that
The maximum number of cupcakes per box is 4
The first three boxes have 4 cupcakes
The last box has
[tex]14-3(4)=2\ cupcakes[/tex]
The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box
[tex]\frac{2}{4}=\frac{1}{2}[/tex]
Part c) How many more cupcakes are needed to fill this box
Subtract the number of cupcakes in the box from the cupcake capacity of the box
The last box has 2 cupcakes
The cupcake capacity of the box is 4
so
[tex]4-2=2\ cupcakes[/tex]
therefore
Are needed 2 cupcakes to fill the last box
The following points for a function are graphed in the coordinate plane: (1, 2), (3, 8), (4, 11), and (6, 17).
What function is being graphed?
y = 2x
y = 3x - 1
y = x + 1
5x - 3
Answer:
y=3x-1 is your answer and now I have to add stuff
find the total cost to the nearest cent. $140 bicycle; 7% sales tax
Answer:140.07
Step-by-step explanation:
Answer:
$149.80
Step-by-step explanation:
To find sales tax you need to multiply the original cost of the item by the sales tax (converted into a decimal). In this case the sales tax converted would be 0.07. Now multiply that decimal by the original cost:
140 x 0.07 = 9.80
9.80 is how much you would be paying in sales tax. Now take this amount and add it to the original amount to get the total cost.
140 + 9.80 = 149.80
What is the range of the function y3x+8?
Answer:
D: {x ∈ R}
R: {y ∈ R}
Step-by-step explanation: Hope this helps! have a supercalifragilisticexpialidocious day! ◑﹏◐
A board is 85cm in length and must be cut so that one piece is 11cm longer than the other piece . Find the length of each piece. Round your answers to the nearest centimeter , if necessary.
What is the length of the smaller piece ?
What is the length of the larger piece ?
The shorter piece is 37 cm
The longer piece is 48 cm:
Step-by-step explanation:
Divide 85 cm by 2 = 42.5
Divide 11 cm by 2 = 5.5
Add them together = 48 cm
85 cm - 48 cm = 37 cm
Length of 1st piece = 37 cm
Length of 2nd piece = x + 11 = 37 + 11 = 48 cm
Now -
Length of smaller piece = 37 cm
Length of larger piece = 48 cm
We have a board which is 85cm in length and must be cut so that one piece is 11cm longer than the other piece.
We have to find the length of each piece, length of the smaller piece, length of the larger piece.
The sum of three numbers such that the next number is 'n' times more than the previous number is 99. Express 'n' as a function of the very first number (say x).Now -
x + (x + n) + (x + 2n) = 100
3x + 3n = 99
x + n = 33
n = 33 - x
According to the question, we have -
Length of board = 85cm.
Assume that the length of first piece be x. Then -
x + ( x + 11 ) = 85
2x + 11 = 85
2x = 74
x = 37
Hence -
Length of 1st piece = 37 cm
Length of 2nd piece = x + 11 = 37 + 11 = 48 cm
Now -
Length of smaller piece = 37 cm
Length of larger piece = 48 cm
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27. Isiah is 3 years younger than twice Jack's age. Kaleb is 4 times Isiah's age. Write a variable expression to represent Isiah's age and then another to represent Kaleb's age.
To represent Isiah's age, the variable expression is I = 2J - 3. To represent Kaleb's age, the variable expression is K = 4I.
Explanation:To write a variable expression for Isiah's age, we start by defining a variable. Let's call Isiah's age 'I'. We are given that Isiah is 3 years younger than twice Jack's age, which can be written as 2J - 3. So, the variable expression for Isiah's age is I = 2J - 3.
To write a variable expression for Kaleb's age, we know that Kaleb is 4 times Isiah's age. Therefore, Kaleb's age can be represented by the variable expression K = 4I, where 'K' represents Kaleb's age and 'I' represents Isiah's age.
Let Jack's age be represented by a variable, let's say j. To express Isiah's age in terms of Jack's age, we use the information given in the question. Isiah is 3 years younger than twice Jack's age, so we can write the expression for Isiah's age as 2j - 3. Following that, we can represent Kaleb's age as being 4 times Isiah's age, which can be expressed as 4(2j - 3).
To dilate a pre-image about a point by a scale factor of 1/3, which of the following is a good step?
A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.
B)Pick a vertex, go the the dilation point and then go 1/3 of the distance on the same line to plot the image vertex.
C)Pick an angle and make sure the image vertex is 1/3 as wide.
D)Pick a side of the pre-image and cut it by 1/3, then do the same for all sides
Answer:
Step-by-step explanation:
D), and A
Answer:
Option A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.
Step-by-step explanation:
In order to dilate an image, it is necessary that the angles are all of the equal size and magnitude. This makes the dilation of the pre-image easier
6.7x = 5.2x + 12.3
How to solve
Answer:
x = 8.2
Step-by-step explanation:
Given
6.7x = 5.2x + 12.3 ( subtract 5.2x from both sides )
1.5x = 12.3 ( divide both sides by 1.5 )
x = 8.2
Answer:
8.2
Step-by-step explanation:
you can solve it by changing it to standard form
Thus, 67×10^-1x =52×10^-1x +123×10^-1
group like terms.
67×10^-1x -52×10^-1x =123×10^-1
15×10^-1x =123×10^-1
divide through by 15 ×10^-1
X= 123×10^-1/15×10^-1
X=41/5
X=8.2
7) Katie is baking muffins for a picnic. She can bake 24 muffins in 45 minutes. At this rate, how
many muffins can she bake in 90 minutes and how do you know?
Answer:
Katie can bake 48 muffins in 90 minutes.
Step-by-step explanation:
So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:
24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.
Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.
So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X
45 90
-----------
45x = 2160
Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.
Sorry about the length! I kinda got carried away lol
Also, for the explanation for how you know, my work above should explain that.
Well, I hope I was helpful!
3 times the difference of X and 4 is greater than or equal to -8 and less than or equal to 10. What is the inequality?
Good evening ,
_______
Answer:
-8 ≤ 3(x-4) ≤ 10
____________________
Step-by-step explanation:
—Let’s solve it—
-8 ≤ 3(x-4) ≤ 10
⇔ -8 ≤ 3x-12 ≤ 10
⇔12-8 ≤ 3x ≤ 10+12
⇔4 ≤ 3x ≤ 22
⇔4/3 ≤ x ≤ 22/3.
:)
The table below represents an exponential function. What is the missing value?
Answer:
Step-by-step explanation:
Looking at the values for [tex]y[/tex], you can see that each value is twice the previous value, which means that the missing value will be twice the previous value, which was 40, so the answer is 80.
When x = 4, the missing value is y = 80. therefore, option 80 is correct.
The table represents an exponential function, which can be expressed in the form y = ab^x, where "a" is the initial value (when x = 0), and "b" is the common ratio or base.
From the table, when x = 0, y = 5. This gives us the value of "a," which is 5.
Now, we can use this information to find the missing value when x = 4.
y = ab^x
y = 5 * b^4
To find "b," we can use another data point from the table, for example, when x = 1, y = 10:
10 = 5 * b^1
Now, solve for "b":
10 = 5b
Divide both sides by 5:
b = 10 / 5
b = 2
Now that we know the value of "b" is 2, we can find the missing value when x = 4:
y = 5 * 2^4
y = 5 * 16
y = 80
for such more question on missing value
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A 9-member teams plans to run a 4 mile race distance markers are placed on the racecourse every 0.25 mile.
Answer:
Place an x at every hash listed
Step-by-step explanation:
The reason being they are listed at 0, then 0.25, then 0.5, and so forth. The x's represent the exchanges so the hashes make a mark at every 0.25 miles
5. Consider the following two sets of incomes. Each income is in thousands of dollars
per year.
Group 1: 32, 36, 38, 39, 42, 43, 44, 47, 49, 50
Group 2:32, 36, 38, 39, 42, 43, 44, 47, 49, 150
a. Find the average or mean salary for each group.
b. How does an extreme value affect the mean?
c. Do you think the mean of the second group is a good indication of the typical
salary in that group? Explain.
a:
Mean is found by adding all the numbers in a data set, then dividing by the amount of numbers added.
Group 1 Mean: 42
Group 2 Mean: 52
b:
The only extreme value in these data sets is 150. An extreme value makes a mean that makes no sense. It distorts it.
c:
No. Group 2 is not a good indication of the typical salary in the group. It has a value that is a lot higher than all the other salaries in the group.
what is the answer to (3n-4)5
15n -20
Good luck!! :)
Answer:2
Step-by-step explanation:
HELP PLZ
The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function? –14 –2 0 4
Answer:
The value of 4 is an input of the function
Step-by-step explanation:
Let
x -----> the independent variable or input value
y ----> the dependent variable or output value
we know that
Looking at the graph
The domain (input values) of the linear function is equal to the interval
[1,∞)
[tex]x\geq 1[/tex]
All real numbers greater than or equal to 1
The range (output values) of the linear function is equal to the interval
(-∞,3]
[tex]y\leq 3[/tex]
All real numbers less than or equal to 3
therefore
The value of 4 is an input of the function
The value is an input of the function? 4
Explanation:The graph represents a functional relationship. On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14). Which value is an input of the function?
a. –14 b. –2 c. 0 d. 4A functional relation definition is a binary relation R⊂A×B between sets A and B, such as (a,b)∈R and (a,c)∈R imply b=c.
By determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation that called function, each X value must have one Y value whereas X has to have one Y value. X is the independent variable or input value, whereas Y is the dependent variable or output value
According to the graph attached, the linear function domain is equal to the interval [1,∞). All real numbers according to the graph is greater than or equal to 1. Whereas the linear function range is equal to the interval (-∞,3]. All real numbers less than or equal to 3, the value of 4 is an input of the function
Learn more about the function: brainly.com/question/9590016
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Please I really need help with this one
Answer:
C
Step-by-step explanation:
Given the complex number a ± bi, then the complex conjugate is
a ∓ bi
Note the real part remains unchanged while the sign of the imaginary part is reversed, thus
The conjugate of 7 - i is 7 + i → C
Answer:
○ C 7 + i ohms
Step-by-step explanation:
Conjugates are expressions with OPPOSITE operation symbols, so the conjugate of 7 - i is 7 + i.
I am joyous to assist you anytime.
What is the value of the expression 1.5(x + 4) - 3 = 4.5(x - 2)?
A. 3
B. 4
C. 5
D. 9
Five times a number minus seven.
5x-7
x would be the unknown number. for example if it were 3 you would multiply 3 and 5 to get 15 then minus 7 to get 8.
Estimate the sum.
3,982+4,592
Step-by-step explanation:
3,982 can be rounded to 4,000
4,592 can be rounded to 4,600
4,000 + 4,600 = 8,600
Answer:
8574
Step-by-step explanation:
Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true? A lines has points A, D, B, K, and C. DB = BK B is the midpoint of AC. D bisects AK. AK + BK = AC
Answer:
D
Step-by-step explanation:
Equations!!
Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away
initially and save $20 every month. The second option is to put $200 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months,___ Tina will save $
with either option___
Answer: Month 10
If you do 400 + (20 x 10) you get 600
If you do 200 + (40 x 10) you get 600
Hope this helps!
Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.
x g(x)
1 −5
2 −6
3 −7
x g(x)
1 5
2 6
3 7
x g(x)
1 −10
2 −12
3 −14
x g(x)
1 −14
2 −16
3 −18
Answer: THIRD OPTION.
Step-by-step explanation:
Since [tex]g(x) = -2f(x)[/tex], then [tex]g(x)[/tex] is:
[tex]g(x)=-2( x + 4)\\\\g(x)=-2x-8[/tex]
In order to find which table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex], you can follow these steps:
1. Substitute [tex]x=1[/tex] into the function [tex]g(x)=-2x-8[/tex]:
[tex]g(1)=-2(1)-8\\\\g(1)=-10[/tex]
2. Substitute [tex]x=2[/tex] into the function [tex]g(x)=-2x-8[/tex]:
[tex]g(2)=-2(2)-8\\\\g(2)=-12[/tex]
3. Substitute [tex]x=3[/tex] into the function [tex]g(x)=-2x-8[/tex]:
[tex]g(3)=-2(3)-8\\\\g(3)=-14[/tex]
Notice that those ouput values (for [tex]x=1,\ x=2[/tex] and [tex]x=3[/tex]) matches with the table provided in the third option. That table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex]:
Answer: C. x g(x)
1 −10
2 −12
3 −14
Step-by-step explanation: i took the test babes