Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total earnings during the first five years on the job.
Answer:
$ 157838.60 in 5 years
Step-by-step explanation:
r = 1.06
sum of geometric seq = a1 ( 1-r^n)/(1-r) n = 5
28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60
Find the product.
-a2b²c²(a+b-c)
Answer:
[tex]- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2}+ a ^{2} b^{2} c^{3}[/tex]
Step-by-step explanation:
branliest pls
3) Find the next three terms in the following geometric sequence. 8, 20, 50, ...
Answer:
125,312.5, 781.25
Step-by-step explanation:
times previous number in sequence by 2, then add half of same previous number
please help me...asap
Help me pls brainles
Step-by-step explanation:
4/10 is 4 away from 0 (not counting the zero but if you did is 5 away from 0) 7/10 is 3 away from 4/10 and 2/10 is 2 behind 4/10
please help me......asap
Answer:
Step-by-step explanation:
When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?
Answer:
Adam's height - Mark's height =
[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =
≈ [5.96ft - 5.46 ft] =
≈ .50 ft ..... and Adam is ≈ 6 inches taller
Step-by-step explanation:
Adam's height - Mark's height =
[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =
≈ [5.96ft - 5.46 ft] =
≈ .50 ft ..... and Adam is ≈ 6 inches taller
Abby purchased a stop light at a garage sale for 12$. She later sold the stop light on Craigslist for 16$. What was the present increase
Answer:
33.3% increase
P% = Y/X - 1
P% = 16/12 - 1
p = 0.3333
Convert
0.3333 = 33.33%
find the value of each variable
x=
y=
Howie wants to get a car loan with 4% simple interest rate. If the car
costs $25,000, how much would Howie need to pay back at the end of
one year, including the interest?
Answer: $26,000
Explanation:
i = simple interest
P = 25,000 = amount loaned
r = interest rate in decimal form = 0.04
t = number of years = 1
So,
i = P*r*t
i = 25000*0.04*1
i = 1000
Howie needs to pay $1,000 in interest on top of the $25,000 loaned to him. In total, he needs to pay back 1,000+25,000 = 26,000 dollars.
If the measure of each interior angle of a polygon is 150°, how many sides does it have?
A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. David measures the dimensions of the prism as 5 in by 5 in by 13 in. Using those dimensions, find the volume of the loaf. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
we should use the formula volume=ab×hsquare
The correct answer is 487.5[tex]in^3[/tex]
What is Rectangular prism? A rectangular prism is a three-dimensional object that uses rectangles as parallel bases. The volume of rectangular prism is Length x width x heightHow to Solve the Problem?The dimension of the prism given are 5in , 5 in , 13in
We need to find the volume of the loaf of the bread
So ,
The volume of rectangular prism is Length x width x height
V1 = 5*5*13
∴ V1 = 325[tex]in^3[/tex]
The volume of half a right cylinder
V2= ([tex]\frac{1}{2}\pi r^{2}h[/tex])
∴ V2 = ([tex]\frac{1}{2}*(5)^{2}* 13[/tex])
∴ V2= 162.5 [tex]in^3[/tex]
∴ Volume of loaf of bread is V = V1+V2
∴ V = 325+162.5
∴V = 487.5[tex]in^3[/tex]
Learn more about Rectangular prism here
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What’s the nearest hundreds to 7,190
Answer:
7200
Step-by-step explanation:
It is above 7150+
So the nearest hundred of 7190 will be,
→ 7190 ≈ 7200
→ 7200
Thus, the nearest hundred is 7200.
7,200
Calculations / Details ↓Rounding Rules :
If the number you are rounding is followed by a number less than 5 , you round down .
If the number you are rounding is followed by a number greater than or equal to 5 , you round up .
Here we're asked to round [tex]\mathtt{7,190}[/tex] to the nearest hundredth .
The number we're rounding is followed by a number greater than 5 , so we round up :
7,190 ---> 7,200
So the ans is7,200
[tex]\small\text{hope\:helpful~}[/tex]
Simplify the expression 7t +3- 2 t
Answer:
5t+3
Step-by-step explanation:
1 Collect like terms.
(7t-2t)+3
2 Simplify.
5t+3
Answer:
(7t - 2t) + 3
Combine the like terms that include t.
[tex]7t - 2t = 5t[/tex]
Turn into equation.
[tex]5t + 3[/tex]
__________________________________________________________
the length of a rectangle plus its width is 35 cm the area 306 what are the length and width of the rectangle
Step-by-step explanation:
Let width be w, length be l
l + w = 35, so w = 35 - l
lw = 306
l(35-l) = 306
35l - l^2 = 306
l^2 - 35l + 306 = 0
(l - 17)(l - 18) = 0
l = 17 or 18
When length = 17, width = 35-17 = 18
When length = 18, width = 35-18 = 17
The following data set represents the age of
people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Breaking the meaning down in simpler terms}[/tex]
[tex]\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}[/tex]
[tex]\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}[/tex]
[tex]\huge\textsf{Formulas for each term}[/tex]
[tex]\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }[/tex]
[tex]\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}[/tex]
[tex]\huge\textbf{SOLVING FOR THE QUESTION}[/tex]
[tex]\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}[/tex]
[tex]\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}[/tex]
[tex]\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Help please anyone please
Answer:
You seem to have two questions, so I will answer both!
Step-by-step explanation:
The answer for the cube volume is D
If you remove a cube from another cube it is affecting more than one side, hence the -1 on two differents p's.
The true area of that house is 48m^2
Take the before scaling it, multiply it by the scale (200)
Square your answer and get around 48 m^2
(You actually get like 48.9897 etc, but we are kind of ignoring that)
Find the measure of a, b, c, d, e
Answer:
a:90 b:90 c:42 d:48 e:132
Step-by-step explanation:
assuming the picture is accurate^^^
a = 90°
b = 90°
c = 42°
d = 48°
e = 132°
Step-by-step explanation:
Here as you can see c and 132° is vertically opposite to each other so it can be name as vertically opposite angle....
Vertically opposite angle are always equal to each other....e = 132°
Now....
here c and d are supplementary angle...
c + d = 180°
132° + d = 180°
d = 180° - 132°
d = 48°
Now...
b = 90° ( being vertically opposite angle )
Here a and b are supplementary angle ....
a + b = 180°
a = 180° - 90°
a = 90°
Now...
c + 138° = 180° ( supplementary angle )
c = 180° - 138°
c = 42°..
[tex]...[/tex]
(C) Asri's height is 2x cm. Adib's height is 6 cm less than Asri's height. Irfan's height is 2 times of Asri's height. Write an algebra expression to represent:
(i) Irfan's height, 2 Marks
(ii) the difference in height between Irfan and Asri. 2 marks
Step-by-step explanation:
I don't know if I got that right
What is the difference between permutations and combinations.
Answer:
permutations: order matters
combinations: order doesn't matter
Answer:
A combination doesn't need to be in a specific order, unlike permutation which needs to go in order.
Step-by-step explanation:
Each planter has a base of 3
1
2
in by 1
3
4
in.
What is the area covered by all the planters?
Answer:
outcome, sample space.AND EVENT
Please help me on this!
Answer:
B. the value depreciates at a rate of 5% each year
Step-by-step explanation:
(1 - 0.05) = .95
-0.05 = depreciates by 5%
Have a nice day! :)
Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?
Answer:
25% or 0.25
Explanation:
Based on the given conditions, formulate: 2 divided by 8
Reduce the fraction: 1/4
get the result: 25% or 0.25
Answer: 25% or 0.25
Please Vote Me Brainliest. Thank You.
Answer:
48 : 1 or 48 to 1
Step-by-step explanation:
to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96
then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image
96 : 2
find the least common denominator...
96 / 2 : 2 / 2
= 48 : = 1
and then rewrite the answer
48 : 1
good luck with ur studies, hope this helps with future problems ^^
Plot each pair of values from the table on the coordinate plane.
Step-by-step explanation:
So, we can find the points to graph by looking at the table. The left column is where we find our x-values and the right column is where we find the y-values. We get the points (1, 3), (3, 9), (5, 15), and (6, 18). I added a picture showing where to plot these and hope it helps!!
Determine the domain D of the mapping f : x ---2x - 3, if C={-3, -1, 5} is the range and f is defined on D
The domain is ={-3, -1, 5} for the given function f(x) = 2x - 3.
How to determine the domain and range?The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.
Given function:-
f(x) = 2x - 3
The domain will be C={-3, -1, 5}
The range can be any random value which we can put in the function.
Read more about function domain and range at:
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a town is 61km north of 23km east of town B.bCalculate the bearing of A from B
Answer:
20.7°
Step-by-step explanation:
Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.
__
The attachment shows the geometry. The relevant angle relation is ...
Tan = Opposite/Adjacent
tanIβ) = 23/61 . . . . . where β is the bearing angle
The angle value can be found using the arctangent function.
β = arctan(23/61) ≈ 20.659°
The bearing of A from B is about 20.7°.
help me please i really need help pls
Answer:
x=20
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Therefore, 30 + 3x = 90
3x=60
x=20
16.
A reporter intends to
survey 150 people to estimate what percentage of the city's
population would support a law that raises the
legal driving age from 16 to 18 years.
Where should the reporter conduct his survey to obtain data that best represents the
entire city population?
A. the city's park
B. the city's high school
C. the city's senior citizen center
D. the city's police and fire stations
Answer:
A. the city's park
Step-by-step explanation:
It would be the park, because many people of different genders and ages go there, and it would be unbiased, since is not just a certain age or gender of people who go there.
What is the value of areas of triangles if height is 12 m and base is 6m ?
Answer:
36 sqm
Step-by-step explanation:
Area = base x height /2
= 12 x 6 /2
= 36sqm
A book has 180 pages. Haley read 12 pages each day.after a certain number of days there are 60 pages left,which equation and solve for X gives the number of days he read
Answer: She read for 10 Days, equation below
Step-by-step explanation:
Number of pages = 180
Rate = 12pages Per day
Number of days read = (180-60) /12
Days read = (total no of page - page left)/page read per day
= 120/ 12 = 10 days
Days remaining = pages left /page per day
=60/ 12 = 5