Answer:
250
Step-by-step explanation:
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=180 r=0.026 t=12
Given values
A=180e^{0.026(12)}
A=180e
0.026(12)
Plug in
A=180e^{0.312}
A=180e
0.312
Multiply
A=245.90784475
A=245.90784475
Use calculator (with e button)
A\approx 250
A≈250
Round to nearest ten dollars
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By calculating on the basis of compound interest, after 12 years Logan will have $242.9 in his account.
What is a compound interest?Compound interest is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, the amount of money after n years as per compound interest,
S = P(1 + r)ⁿ.
Where, P = Principle = $180, r = rate of interest = 2.6%, n = time period = 12 years
Now, S = $180(1 + 2.6/100)¹² = $180(1 + 0.026)¹² = $180(1.026)¹² = $242.9
Hence, after 12 years, Logan will have $242.9 in his bank account.
Learn more about compound interest here: brainly.com/question/25857212
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You work in a hospital, and instructions for an instrument state that it should be cleaned in the sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many minutes do you set for the sterilizer?
Answer:
120 mins
Step-by-step explanation:
number of minutes in an hour = 60
number of hours = 2
total number of minutes = 60 x 2 = 120
Answer:
120 minutes
Step-by-step explanation:
an hour is 60 minutes and if you put them in for 2 hours you multiply 2×60 and your answer is 120
Jennyra charges $8 per hour for each babysitting job she works. Write an expression to show the number of hours she works.
Answer:
8 times x
Step-by-step explanation:
x being the number of hours
The sum of a number times 9 and 20 is at least 28.
Translate the sentence into an inequality
Answer:
9x+20>=28
Step-by-step explanation:
x is the number
Nancy has $200 and spends $10 each week. Which function rule describes the situation?
Answer:
f(d) = 200 – 10d
Step-by-step explanation:
I just looked it up sorry if its wrong lol
Answer:
f(d)=200-10d
Step-by-step explanation:
Because she is spending money every week, That means he money is decreasing.
what type of solution would you get for -5=-5
A. one solution
B. no solution
C. infinite
Answer:
c
Step-by-step explanation:
Taylor is checking her bank statement for the month of November. She began the month with $175 in her account. She made two deposits for $100 each and also made two withdrawals was for $55. Write an addition expression to represent this situation.
Answer:
The addition expression that represents the situation is;
175 + 100 + 100 - 55 -55
Step-by-step explanation:
Here, we want to write an addition expression to represent the situation
While the deposits are considered positive, the withdrawals are considered negative
So the addition expression will be;
175 + 100 + 100 - 55 - 55
Sequences and series
===========================================================
Explanation:
The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.
To check if we have a geometric sequence, divide each term by its previous term
(term2)/(term1) = (1.6)/(0.4) = 4
(term3)/(term2) = (6.4)/(1.6) = 4
(term4)/(term3) = (25.6)/(6.4) = 4
Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.
Put another way: each new term is found by multiplying the previous term by 4.
0.4*4 = 1.6
1.6*4 = 6.4
6.4*4 = 25.6
This all leads to D being the answer.
Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.
How many solutions does 4-3x=-4+3x
Answer:
no
Step-by-step explanation:
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
I am selling raffle tickets. It cost $155 to print the tickets and I want to make at least a $2,500 profit how much money do I need to raise to cover the cost of the printing and meet my goal
Answer:
Step-by-step explanation:
You need $2500 plus the amount to print the tickets. So 2500+155= $2655.
$155 will break even and then the $2500 will be the profit.
Find the quotient 3/5 divided by 8
Answer:
A.
Step-by-step explanation:
Answer: The answer is A 3/40
Step-by-step explanation: [tex]\frac{3}{5} :8=\frac{3}{5} * \frac{1}{8} =\frac{3*1}{5*8} =\frac{3}{40}[/tex]
Please find what X equals -
5^6x+7 = 761
Answer:
What grade? 10th?
Step-by-step explanation:
-41 + 22 negative or positive
Answer:
-19
Step-by-step explanation:
find the area of those circles
Answer:
4pi
Step-by-step explanation:
Area of a circle is pi (r^2)
Radius is 2, 2 squared is 4, 4 times pi is 4pi.
Volume
03020020203tagmineyhi
What is the answer for the equation (2+3x)4
Answer:
8+12x
Step-by-step explanation:
Answer:
8+12x
Step-by-step explanation:
Do anybody know how to do this ? This typa work is unnecessary bruh I hate school !
Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!
Answer:
m<1 = 87
Step-by-step explanation:
Bro I got you! You ain't gotta hate school no more!
Right the equation like this
m<1 + m<2 = <TSV (plug in)
m<1 + 65 = 152 (subtract 65 from 152 to get m<1)
m<1 = 87
There you go!
Hope this helps ya!
math sucks ugh need more help
Answer:
3 is the correct answer
Step-by-step explanation:
I believe this is correct.
Hope this helps!
Answer:
3) the vertex is moved to the left 7 units
Step-by-step explanation:
When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left
Which statement describes a ratio?
A pet store has 115 fish that need to be placed into fish tanks. Each tank hold 6 fish. How many tanks does the store for the fish
Answer:
19.1, rounded= 19
Step-by-step explanation:
115 divided by 6 = 19.1
Answer:
20 tanks
Step-by-step explanation:
Number of tanks = Total fish ÷ Number of fish that a tank can hold
= 115 ÷ 6
= 19 [tex]\frac{1}{6}[/tex]
= 20 tanks
Side Panel Expand side panel 7.01 Discussion: Sequences and Modeling with Functions Think about Pascal's triangle. Many numerical sequences exist in this triangle. Research/explore the triangle. Give an explicit or recursive rule or explanation for the sequence you found. For example, the sum of the diagonals gives the Fibonacci sequence. Give an example of where in the triangle your sequence is located.
Answer:
The sum of the triangle gives us the Fibonacci sequence. The sequence starts with 0 and 1, then adds along the road, such as 3+5=8, and 5+8=13.
It's a pattern going along while adding sequences together.
i hope this helps, it's not the best, but it works! :)
Which pair of angles shares ray as a common side?
Answer:
Step-by-step explanation:
adjacent angles share a ray
they also have a common vertex
carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?
Answer:
24 pies
Step-by-step explanation:
Let x represent the number of pies and set up an equation:
6x = 3.75x + 54
Solve for x:
6x = 3.75x + 54
2.25x = 54
x = 24
So, Carrie and Joel have to sell 24 pies to break even
what is the value of k in the following equation?
12+k/22=13
Answer: k=22
Step-by-step explanation:
12+k/22=13
-12 -12
k/22=1
k=1*22
k=22
The two right triangles on the graph below are similar.
Answer:
B is the correct chose
Step-by-step explanation:
Can someone help me please
Answer:
B
Step-by-step explanation:
210/3.5=60 60*8.5=510 Add the first fence post to get 518.50
Answer:
B
Step-by-step explanation:
✨Hope it helps✨
Find the slope of the line?
Answer:
The slope of line is (3,-2)
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
Answer:
No relationship
Step-by-step explanation:
Answer:
B. The number of vertices equal the number of isosceles triangles.
Step-by-step explanation:
1st figure:
No. of vertices: 4
No. of isosceles triangles: 4
2nd figure:
No. of vertices: 5
No. of isosceles triangles: 5
3rd figure:
No. of vertices: 6
No. of isosceles triangles: 6
Thus, the number of vertices equal to the number of isosceles triangles.
which of the following is the slope intercept form of the equation of this line
Answer:
The slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
Step-by-step explanation:
From the line equation, let us take two points
(1, -1)(-1, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]
[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]
[tex]m=-1[/tex]
From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0
at x=0, y=0
Thus, (0, 0) is the y-intercept
We know that the slope-intercept form of the line equation is
y=mx+b
where
m=slope b=y-interceptAs we have already determined m=-1 and y-intercept=b=0
so substituting m=-1, b=0 in the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
[tex]y=(-1)x+0[/tex]
[tex]y=-x[/tex]
Thus, the slope-intercept form of the equation of this line is:
[tex]y=-x[/tex]
Hence, option 'c' is true.
Show your work!!!! MUST SHOW WORK
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4 3/8-(-5 7/8)=
Answer:
10 1/4
Step-by-step explanation:
okay so the equation 4 3/8-(-5 7/8) needs to be simplified to a answerable equation by changing -(-5 7/8) to + 5 7/8
the reason for this is because when two subtraction signs are like this -(- it turns the number into a positive and we add instead of subtract.
4 3/8 + 5 7/8 = 9 10/8 = 10 2/8 = 10 1/4
I hope this helps you