Answer:
A = $6273.41
Step-by-step explanation:
[tex]\displaystyle A = P \big{(}1+ \frac{r}{n} \big{)} ^{nt}[/tex]
A = Amount of the investment in the futureP = Principal value (initial amount)r = Interest rate n = Number of times interest is compounded per yeart = Time (years)Substitute all of the known values into this equation.
[tex]\displaystyle A = 4800\big{(}1 + \frac{.055}{1}\big{)} ^{(1)(5)[/tex]
Solving for A in this equation gives us an answer of:
[tex]A = 6273.41[/tex]
Therefore, the investment will be worth $6273.41 after 5 years.
A manufacturing company has two assembly lines, one with old equipment and
one with new. The old assembly line generates products at a rate of 48 per hour,
the new one at 60 per hour. If both assembly lines are operating at the same
time, how long will it take them to create a total of 180 products?
Answer:
the first one would take 3 hours and 45 mins to make 180 by itself
the second one would take 3 hours to make 180 by its self
if this ant the answer let me know
Using unitary method, the manufacturing company will take 1 hour 40 minutes to create a total of 180 products.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of products generated by old assembly line in 60 minutes = 48
Number of products generated by old assembly line in 1 minute = 48/60 = 0.8
Number of products generated by new assembly line in 60 minutes = 60
Number of products generated by new assembly line in 1 minutes = 60/60 = 1
Total production in 1 minute = 1 + 0.8 = 1.8
Time taken to produce 180 products = 180/1.8 = 100 minutes = 1 hour 40 minutes
Learn more about Unitary method here
https://brainly.com/question/22056199
#SPJ2
Drag each tile to the correct box
An island is approximately in the shape of a triangle is shown a hospitality company wants to build a hotel on the island so it is equidistant from three coast of the island to determine the location H of the hotel a surveyor writes the steps for constructing a circle with center age and scribed in triangle JKL
Answer:
D, B, E, A, C
Step-by-step explanation:
The incenter is the intersection of the bisector of the triangle angle.
1) Construct the angle bisectors of angle JKL and angle LJK.
2) Label the point of intersection of the bisectors point H
3) Construct a segment HM that intersects side JK perpendicularly at point M.
4) Set the compass length to HM.
5) Draw a circle with the fixed end of the compass on point H.
The correct arrangement of the steps will be D ⇒ B ⇒ E ⇒ A ⇒ C.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.
In a triangle, the sum of all three angles is 180°
The correct sequence of the given problem should be ;
(D) ⇒ Construct the angle bisectors of angle JKL and angle LJK.
(B) ⇒ Label the point of intersection of the bisectors point H
(C) ⇒ Construct a segment HM that intersects side JK perpendicularly at point M.
(D) ⇒ Set the compass length to HM.
(E) ⇒ Draw a circle with the fixed end of the compass on point H.
For more information about triangles,
https://brainly.com/question/2773823
#SPJ2
BRANY IS DUM AND IT IS WORNG
Answer:
36 is the answer to your problem. ↓
3
x 12
36
Here's how to do it ↓
3x2 = 6, write 6 in the ones place
3x1 = 3, write 3 in the tens place.
And what does that give you?
36!
Hello! Im Natalia. And I suggest you dont ask the type.of questions. Keep the feed clear for people who need help!
2x + y = 20
6x - 5y = 12
Answer:
x=7, y=6
Step-by-step explanation:
Answer:
x=7, y=6
Step-by-step explanation:
we expand the first formula by 5.
5(2x+y) = 20x5
10x + 5y= 100
then we add the two formulas together.
10x+5y+6x-5y = 100+12
since the 5y can be cancelled out, it is much easier.
16x = 112
x=7
now we can put x=2 into the first formula.
2x7+y =20
y=6
help please i need this fast
what is (-3/5) + 1/3 in fraction
Answer:
-4/15
Step-by-step explanation:
-3/5 = -9/15
1/3 = 5/15
(-9/15) + 5/15 = -4/15
Hope this helps :)
Answer:
- 4/15
Step-by-step explanation:
1) Remove parentheses.
-3/5 + 1/3
2) Simplify.
- 4/15
What is the perimeter of the triangle shown to the nearest tenths
Answer:
22 (I think)
Step-by-step explanation:
The picture is a lil blurry so I'm not sure if I counted the squares right. But basically, you count the squares from one dot to the next. For example, the one on the top that goes in a horizontal line is 6 squares. As for the other two lines, you count from the dot you're starting at and count VERTICALLY until you reach the same line as the point of the triangle. Like with the left side, it starts at point -5, 4 and you'll count how many squares it takes until you reach the same y-axis line as the tip of the triangle. So you should get to -5, -4 for the left side which counts to 8 squares. Same for the other side, also being 8 squares. Then just add it up. 8+8+6=22.
Shay's net earnings per month are $4000. Shay's total monthly expenses are $3000. The biggest expense is rent at $1500. If Shay takes on a roommate who pays $500 per month, by what amount has Shay reduced total monthly expenses?
Group of answer choices
1/8 or 13%
1/6 or 17%
1/3 or 33%
1/2 or 50%
Answer:1/6 or 17%
Step-by-step explanation:
Explanation:
Ignore the net earnings of $4000 as it's extra unneeded info. The same goes for the $1500 rent.
Shay has monthly expenses of $3000. If the roommate chips in $500, then Shay saves 500/3000 = 5/30 = 1/6 of her money toward expenses.
Using a calculator, 1/6 = 0.17 = 17% approximately
The perimeter of the rectangle is 98 inches The ratio of the length to the width is 4:3. What is the length and the width of the rectangle
Given :
The Perimeter of the rectangle is 98 inchesThe ratio of the length to the width is 4:3.To Find :
The Length and width of the rectangle .⠀
Solution :
We know that,
[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]
Let's assume the length of the rectangle as 4x inches. and the width is 3x inches.
⠀
Now, Substituting the given values in the formula :
[tex]\qquad \dashrightarrow{ \sf{2(4x + 3x )= 98}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{2(7x)= 98}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{14x= 98}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{x= \dfrac{98}{14 } }}[/tex]
[tex]\qquad \dashrightarrow{ \bf{x= 7}}[/tex]
Therefore,
[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 4x \: = 4(7) = 28 \: inches}}}\:[/tex]
[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 3x = 3(7) = 21 \: inches}}}\:[/tex]
GUYS PLS HALP MEH Kiran's aunt is 17 years older than Kiran.
How old will Kiran's aunt be when Kiran is:
15 years old?
30 years old?
x years old?
How old will Kiran be when his aunt is 60 years old?
Answer:
32
45
75
Step-by-step explanation:
tbh its pretty basic..
PLS HELP ME What effect will an animal have if it is introduced to a new environment?
It will be helpful if it spreads disease.
It will be harmful if it helps seeds disperse.
It will be harmful if it takes over the environment.
It will be helpful if it overpopulates. ITSscience
Answer:
It will be harmful if it takes over the environment.
Step-by-step explanation:
The reason for this is because, if the animal has no natural predators or controls, it can reproduce and quickly spread and multiply, taking over an area.
Also there are many invasive species that are the reasons for many other animals and plants becoming extinct. For example, they can reduce the habitat, fight with other animals for natural resources, and change the habitat.
Answer:
it is harmful
Step-by-step explanation:
hope this helps
In which quadrant is the point (2, -3) located?
O Quadrant II
O Quadrant IV
0 Quadrant I
Quadrant III
o Quadrant IV is located in the point (2,_3)
Answer:
Quadrant IV
Step-by-step explanation:
Q I = (+,+)
Q II = (-,+)
Q III = (-,-)
Q IV = (+,-)
11.in each of the following ABCD parralelgram calculate x and y
Answer:
x = 8/3, y = 16/3
Step-by-step explanation:
ΔBFE ~ ΔADE, so
x/8 = 6/(12 + 6), x = 8/3
y = 8 - x = 8 - 8/3 = 16/3
Someone please explain this
Answer:
6
Step-by-step explanation:
I'm only going to answer the first one, then see if you can figure out the others.
We know that 8 students got a B.
We also know that the ratio of students who A's to students who got B's is 3 : 4
The 8 students that got B's is represented by 4 in the ratio.
8 / 4 = 2
Since we can multiply 4 by 2 to get 8, we can do the same to 3 to find out how many students got A's
2 x 3 = 6
6 students got A's
What is the polynomial of 6a+3 ?
Answer:
45
Step-by-step explanation:
What are some possible sources of damage that property insurance would insure you against?
helllllllllllllllllllllllp meeeeeeeeeeeeee
Answer:
natural disasters, theft,fire
Write the absolute value in the form |x-b|=c (where b is a number and c can be wither a number or and expression) that has the following solution set.
Two solutions: x=-2, x=-32
Answer:
|x +17| = 15
Step-by-step explanation:
The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.
|x -b| = c
resolves to ...
x -b = c . . . . for x -b > 0
x = b+c
and
-(x -b) = c . . . for x -b < 0
x = b -c . . . . . solve for x
__
The value of c must be positive, so the value b+c will be the most positive solution:
-2 = b +c . . . . . the most positive solution
-32 = b -c . . . . the most negative solution
Adding these equations gives ...
2b = -34 ⇒ b = -17
c = -2 -b . . . . from the first equation
c = -2 -(-17) = 15
Putting the found values b=-17, c=15 into the absolute value equation template gives ...
|x +17| = 15
The scores on a certain test are normally distributed with a mean score of 53 and a standard deviation of 5. What is the probability that a sample of 90 students will have a mean score of at least 53.527?
Answer:
HERE
Step-by-step explanation:
The answer you're looking for is 0.1587
what is the fact family for 6,7,13 what is the answer
How much longer is a one inch button than a 3/8 inch button?
Answer:
5/8
Step-by-step explanation:
subtract 3/8 from 8/8 to get 5/8
The table shows the amount of money that Memphis saved in his savings account after different amounts of time
What is the Constant of Proportionality? (please make sure to show your work)
How much money did Memphis save after 1 month?
PLEASE HURRY
(Giveing Brainly if I can :-/)
#1
Constant of proportionality means slope
[tex]\\ \rm\rightarrowtail m=\dfrac{225-100}{18-8}=\dfrac{25}{2}[/tex]
#2
We need equation
[tex]\\ \rm\rightarrowtail y-100=25/2(x-8)[/tex]
[tex]\\ \rm\rightarrowtail 2y=25x[/tex]
Put x=1
[tex]\\ \rm\rightarrowtail 2y=25[/tex]
[tex]\\ \rm\rightarrowtail y=25/2=12.5[/tex]
A baker is making cakes for a Big party. She uses 1/4 cup of all the cake how many kids can she make if she has a bottle of all their head in it?
Answer:
it depends on how big she wants them but typically a bakers dozen
Step-by-step explanation:
(urgent!! please help)
Answer:
1 IS THE GIVEN
2 IS THE ADDITION PROPERTY OF EQUALITY
3 IS THE DIVISION PROPERTY OF INEQUALITY
Step-by-step explanation:
GIVEN IS ALWAYS THE PROBLEM GIVEN
YOU HAVE TO ADD 1 TO BOTH SIDES TO GET 20=5X
YOU HAVE TO DIVIDE EACH SIDE BY 5 TO GET 4=X
Which is the better buy?
2-pint bottle of bleach for $1.86
2-gallon bottle of bleach for $10.56
Answer:
gallon bottle
Step-by-step explanation:
There are 8 pints in a gallon, so 8 of the 2-pint bottles would be equivalent to 2 gallons. The cost of those would be ...
8 × $1.86 = $14.88
This is greater than the $10.56 cost of a 2-gallon bottle, so the 2-gallon bottle offers a better buy for an equivalent quantity.
__
Additional comment
You could compare unit rates in terms of any of cost per ounce, cost per pint, cost per quart, cost per gallon. All that is needed is the cost for an equivalent quantity, or the quantity for an equivalent cost.
Or, one can look at cost and quantity ratios. The cost ratio is 10.56/1.86 ≈ 5.68; the quantity ratio is (16 pints)/(2 pints) = 8. The gallon size gives 8 > 5.7 times the product for 5.7 times the cost, so it is the better buy.
For which value(s) of x are the triangles congruent?
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
Permutations and Combinations:
Find the number of paths from A to B, travelling along the lines, downward or to the right.
Answer:
[tex]A\ downward\ 5\ paths\ then\ to\ the\ right\ 6\ paths[/tex]
Step-by-step explanation:
[tex]\left\{According\ to\ the\ picture\right\}[/tex]
I hope this helps you
:)
Help with number 17 please
Answer:
B
Step-by-step explanation:
/ is positive
| neutral or something
\ is negative
- is also neutral
Answer:
B
Step-by-step explanation:
Look at the arrow, if the arrow is pointed downwards (like a roller coaster) its negative
Positive: diagonally up (roller coaster building up)
Negative: diagonally down (roller coaster drop)
Zero: straight
Unidentified: Horitzonal
can someone help this is for a big grade
Answer:
What's the question???
Can someone please help me with this thank you
Answer:
Step-by-step explanation:
1- .6 hours
2-a: 8
2-b: 40
2-c: 10
I hope this helps you! (:
fond the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4
Answer:
[tex]a_7=\dfrac{4}{729}[/tex]
Step-by-step explanation:
General form of geometric progression: [tex]a_n=ar^{n-1}[/tex]
(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)
Given:
[tex]a=4[/tex][tex]r=\dfrac13[/tex][tex]\implies a_n=4\left(\dfrac13\right)^{n-1}[/tex]
Therefore, when n = 7:
[tex]\implies a_7=4\left(\dfrac13\right)^{7-1}[/tex]
[tex]\implies a_7=4\left(\dfrac13\right)^{6}[/tex]
[tex]\implies a_7=4\left(\dfrac{1^6}{3^6}\right)[/tex]
[tex]\implies a_7=4\left(\dfrac{1}{729}\right)[/tex]
[tex]\implies a_7=\dfrac{4}{729}[/tex]