230 is the value of the company in 2018.
Option (B) is correct.
To find 230 represent in the function.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers.
It is given that:
The equation of a exponential growth function is equal to
[tex]V(t)=a(1+r)^{t}[/tex]
where,
V(t) is the value of the company
t is the number of years after 2018
a is the initial value or y-intercept
r is the rate of change
Put the value,
a=230
1+r=1.12
r=1.12-1=0.12
r=12%
so 230 is the value of the company when the value of t is equal to zero.
Remember that t is the number of years since 2018
Therefore ,230 is the value of the company in 2018.
Learn more about arithmetic here:
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James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
Answer:
James is 58 and Tyson is 39 years old.
Step-by-step explanation:
x + y = 97
x - y = 19 +
--------------
2x = 116
x = 58
--------------
y = 97 - 58
y = 39
To find the ages of two friends based on the sum and difference of their ages.
Explanation:James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:
Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.Therefore, James is 58 years old, and Tyson is 39 years old.
Triangle ABC was dilated and translated to form similar triangle A’B’C’.
What is the scale factor of the dilation?
A. 1/5
B. 2/5
C. 5/2
D. 5/1
The scale factor for the transformation of the pre-image ABC to A'B'C' shown in the figure is 5/2
How to estimate the scale factor of the dilation
From the question, we have the following parameters that can be used in our computation:
The transformation of the pre-image ABC to A'B'C'
By definition, the scale factor is simply the ratio of sides of two corresponding figures
So, the scale factor (S) would be:
S = A'B'C'/ABC
The actual measurements are given as
ABC = 2
A'B'C' = 5
Substitute the known values into the equation
S = 5/2
Hence, the estimated scale factor is 5/2
I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!
Find the volume of the prism.
A. 250 yd3
B. 50 yd3
C. 20 yd3
D. 200 yd3
Answer:
D
Step-by-step explanation:
To find Volume, you multiply length, width and height.
10x4=40
40x5=200
Answer:
D)200yd^3
Step-by-step explanation:
all you have to do is times 4*5*10=200 to get the volume
Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90)(190%)
= (90)(100%+90%)
= (90)(100%) +(90) (90%)
= (90)(1.0)+(90) (0.9)
= 90+ 18
= 108
Answer:
she incorrectly multiplied 90 times 0.9
Step-by-step explanation:
4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
Answer:
what are you looking for
Step-by-step explanation:
Maria has an annual income of
$32,000. If she saves 8% of her
income, how much money does
she save?
Answer:
17,810.58
Step-by-step explanation:
A = $ 17,810.58
A = P + I where
P (principal) = $ 10,000.00
I (interest) = $ 7,810.58
Step-by-step explanation:
we can write it in %form:
100% of the total income Annual income= $32,000 (given in question)
1%=$320. (divide both sides by 100 to solve by 1%)
8%=$320×8
(multiply by 8 both side to get money saved)
8%= *$2,560*
1 meter = 100 centimeters
Each centimeter is
_or_
of a meter.
Answer: 1/100 or 0.01
Answer:
1 cm = 0.01 m
Step-by-step explanation:
Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:
1 meter 100 cm
---------------- = -------------
100 100
Reducing this, we find that: 1 cm = 0.01 m
Find the perimeter of a rectangle with a base of 24m
and a height of 36m.
A square and a regular hexagon have side of the same length. The perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon. What is the x, the length of the side of the hexagon or square
The length of the side of the hexagon or square is 24 units.
Step-by-step explanation:
It is given that, a square and a regular hexagon have side of the same length.
The length is not given in the problem. So, let us assume the length of the side of hexagon or square as 'x'.
The additional information given is that, the perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon.
The perimeter of the square = 4 × length of the side.Then, the perimeter of the square increased by 48 units = (4x + 48).The perimeter of the hexagon = 6 × length of the side.Therefore, the perimeter of the hexagon = 6x.To calculate the length x of square and hexagon :
Comparing both the perimeters of square and hexagon,
⇒ (4x + 48) = 6x
⇒ 48 = 6x-4x
⇒ 2x = 48
⇒ x = 48/2
⇒ x = 24 units.
The length of the side of the hexagon or square is 24 units.
Which sequence is geometric and has `1/4` as its fifth term and `1/2' as the common ratio?
O A..., 1, 1/2", 1/4", 1/8"...
B..., `1/4,' 1/2,' '1, 2, ...
O C.., 1/72", 1/36', '1/18', '1/9 ,...
OD..., 8,' '4,' '2,' 1,' ....
Answer:
A..., 1, 1/2", 1/4", 1/8"...
Step-by-step explanation:
- Which mathematical expression represents "add 6, 9, and 24 and then divide by 3"?
A. (6 + 9 + 24) = 3
B. 6 + 9 + 24-3
C.3 = (6 + 9 + 24)
D. 3 = 6 + 9 + 24
Answer:
(6 + 9 + 24)/3
Step-by-step explanation:
First, you must add 6, 9, and 24.
6 + 9 + 24
Now you need to divide that sum by 3.
You must use parentheses to show the sum being divided by 3.
(6 + 9 + 24)/3
None of your expressions contain a division sign, so there is no answer contained in the choices. Did you use the equal sign to mean a division sign?
in a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12
Employees of a discount appliance store receive an additional 20% off of the lowest price on an item.
an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher
originally cost $450?
A. $280.90
B. $287
C. $292.50
D. $306
E. $333.89
Answer:
D. $306.
Step-by-step explanation:
If the dishwasher originally cost $450, then after applying 15% off, its price will be 100% - 15% = 85% of the original price:
[tex]\dfrac{85\%}{100\%} *\$450[/tex]
[tex]0.85*\$450 = \$382.5[/tex]
Thus, during the 15% off sale, the dishwasher will cost $382.5.
Now, the employees of the discount appliance store receive an additional 20% off; therefore, the price of the dishwasher will be 100% - 20% = 80% of $382.5:
[tex]\dfrac{80\%}{100\%} *\$382.5[/tex]
[tex]0.8*\$382.5=\$306[/tex]
Therefore, the employee will purchase the dishwasher at a price of $306, which is choice D.
Final answer:
The employee will pay $306 for the dishwasher, which corresponds to answer choice D.
Explanation:
The subject of this question is Mathematics, and it pertains to the calculation of cumulative discounts on an item. The question is designed to test the student's understanding of how to apply successive percentage discounts to an original price.
Original price of the dishwasher: $450
15% off sale discount: 0.15 × $450 = $67.50
Price after sale discount: $450 - $67.50 = $382.50
Employees receive an additional 20% off the lowest price: 0.20 × $382.50 = $76.50
Price after employee discount: $382.50 - $76.50 = $306
Therefore, the employee will pay $306 for the dishwasher, which corresponds to answer choice D.
Select the correct answer.
If ΔABC and ΔGEF are congruent by the ASA criterion, which pair of angles must be congruent?
A.
∠ACB and ∠FEG
B.
∠CAB and ∠GEF
C.
∠CAB and ∠EGF
D.
∠ABC and ∠GFE
Answer:
<A=<G
so <CAB=<EGF
Step-by-step explanation:
Answer:
B.
∠CAB and ∠GEF
Graph a line that contains the point (-5, -6) and has a slope of
aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
Solution:
Slope (m) = [tex]\frac{2}{3}[/tex]
Point [tex](x_1, y_1)=(-5, -6)[/tex]
Point - slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]
[tex]$y+6=\frac{2}{3}(x+5)[/tex]
[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]
Subtract 6 from both sides.
[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]
[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]
[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
The image of the graph is attached below.
Answer:
Equation of the line is
Step-by-step explanation:
Jerome found another feather that made the difference between the longest and shortest feather 1 3/4 inches what could be the length of the new father explain
Answer:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
Step-by-step explanation:
A mathematical translation of the statement of the problem is:
[tex]x - y = \frac{7}{4}[/tex]
Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:
[tex]x = y + \frac{7}{4}[/tex]
[tex]x = 2[/tex]
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
The length of the new feather that made the difference between the longest and shortest feathers is 1 3/4 inches.
Explanation:The question is asking for the possible length of the new feather that made the difference between the longest and shortest feathers. We know that the difference between these feathers is 1 3/4 inches.
To find the length of the new feather, we need to consider the lengths of the longest and shortest feathers.
Let's say the length of the shortest feather is x inches. Then, the length of the longest feather would be x + 1 3/4 inches. So, the equation would be: (x + 1 3/4) - x = 1 3/4 inches.
Simplifying the equation, we get: 1 3/4 = 1 3/4 inches.
Therefore, the length of the new feather is 1 3/4 inches.
Solve and check y-12=4y
Answer:
-8
Step-by-step explanation:
The answer is -8 because y=4 so 4-12=-8
find a common factor for 3y^3+2y^2 and 6y^4+4y^3
Answer:
[tex]3y + 2 [/tex]
Step-by-step explanation:
We want to find a common factor for
[tex]3 {y}^{3} + 2 {y}^{2} [/tex]
and
[tex]6 {y}^{4} + 4 {y}^{3} [/tex]
We factor each of them to get;
[tex]3 {y}^{3} + 2 {y}^{2} = {y}^{2} (3y + 2)[/tex]
and
[tex]6 {y}^{4} + 4 {y}^{3} = 2 {y}^{3} (3y + 2)[/tex]
We can observe now that;
The factor common to both expression is
[tex]3y + 2[/tex]
if the polygon shown below is a regular nonagon,what is the value of x
Answer:
[tex]x=40^o[/tex]
Step-by-step explanation:
the picture of the question in the attached figure
step 1
Find the measure of the interior angle of a regular nonagon
The formula to calculate the measure of the interior angle in any polygon is given by
[tex]\frac{(n-2)180^o}{n}[/tex]
where
n is the number of sides
In this problem we have
n=9 sides
substitute
[tex]\frac{(9-2)180^o}{9}=140^o[/tex]
step 2
Find the value of x
Remember that
The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees
so
[tex]x+140^o=180^o[/tex]
solve for x
[tex]x=180^o-140^o=40^o[/tex]
Write -5.8 as a mixed number in simplest form
Answer:
[tex]-5 \frac{4}{5}[/tex]
Step-by-step explanation:
That's the answer
Answer:
I guess the answer would be -5 and 4/5.
Hope this helps!
a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?
Answer: 17lbs of carrots
Step-by-step explanation:
Help. Interpreting Graphs Of Proptional Relasionships. !
Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.
Explanation:When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.
Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.
Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.
Use the data set to answer the question.
{122,132,155,198,213,225,261,280}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
The mean absolute deviation for the given data set is 45.1.
Explanation:To find the mean absolute deviation for a given data set, follow these steps:
Find the mean of the data set by adding up all the values and dividing by the total number of values.
For each value in the data set, find the absolute difference between the value and the mean.
Find the average of these absolute differences by summing them up and dividing by the total number of values.
In this case, the data set is {122,132,155,198,213,225,261,280}.
The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.
The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.
Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Answer:
-36/7 or -5.14287
Step-by-step explanation:
so I would get rid of parentheses you do not need them
[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)
-36/7=-5.1428
hope this helps!
Use the relationships between the angles to solve for x (most brainliest fastest answer)
Answer:
100 degrees
Step-by-step explanation:
A straight line pretty much means you have 180 degrees.
180 - 115 = 65
A triangle has 180 degrees
x = 180 - 15 - 65 = 100
x - 8 + (-8x) - 15 when x = -9
Answer:
40
Step-by-step explanation:
Plug x=-9 in. -9-8+(-9×(-8)) -15=-17+72-15=-17+72-15=40. I hope this helped!
Answer:
40
Step-by-step explanation:
72-32=40
HELPPP PLEASE
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3
The volume of the tent is option A) 226 ft³
Step-by-step explanation:
The given data are,
A cone-shaped tent has a diameter of 12 ft.The height of the cone is 6 ft.To find the volume of the tent :
The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.
Volume of the cone = (1/3)πr²h
where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.
The radius, r = 6 ft.
The height h of the cone is h= 6 ft.
Volume of the cone = (1/3)× 3.14× 6²× 6.
⇒ (1/3)× 3.14× 216
⇒ 678.24 / 3
⇒ 226.08 (which is approximately 226)
⇒ 226 cubic. ft
Therefore, the volume of the tent is option A) 226 ft³
What is the factored form of x6 - 9?
Answer:
Step-by-step explanation:
(x 3)(x – 3)
(x5 3)(x – 3)
(x3 3)(x2 – 3)
(x3 3)(x3 – 3)
Answer:
(x3 + 3)(x3 – 3)
Step-by-step explanation:
Yeah I’m not good at this
For the given triangle, x = 5.1 cm and y = 6.1 cm.
Step-by-step explanation:
Step 1:
In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm. The hypotenuse of the triangle measures 8 cm.
To determine the length of the opposite side of the triangle, we use the sin of the given angle.
To determine the length of the adjacent side of the triangle, we use the cos of the given angle.
[tex]sin \theta = \frac{oppositeside}{hypotenuse} , cos \theta = \frac{adjacentside}{hypotenuse}.[/tex]
Step 2:
In the given triangle,
The length of the opposite side = y cm,
The length of the adjacent side = x cm,
The length of the hypotenuse = 8 cm,
The angle of the triangle = 50°.
[tex]sin \theta = \frac{oppositeside}{hypotenuse} , sin 50 = \frac{y}{8}.[/tex]
[tex]y = 0.7660 (8) = 6.128.[/tex]
[tex]cos \theta = \frac{adjacentside}{hypotenuse} , cos 50 = \frac{x}{8}.[/tex]
[tex]x = 0.6427 (8) = 5.1416.[/tex]
So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.
What are the characteristic of financially responsible decision