Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
More can be learned about simple interest at https://brainly.com/question/25296782
And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
Read more about volume integrals at:
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PLS ANSWER THIS PLS PLS PLS
Answer:
20 shirts = $445.00
40 shirts = $541.00
60 shirts = $637.00
Step-by-step explanation:
multiply 20, 40 and 60 by 4.8 then add 349.
20*4.8 = 96
96+349 = 445
40*4.8 = 192
192+349 = 551
60*4.8 = 288
288+349 = 637
Pease help me
I will give BRAINLY
THANKS FIVE STARS
Answer:
23, 25, 27, 29
Step-by-step explanation:
14*2 = 28, 28-5=23
15*2=30, 30-5=25
16*2=32, 32-4=27
17*2=34, 34-5=29
[tex]14 \times 2 - 5[/tex]
[tex]28 - 5[/tex]
[tex]23[/tex]
[tex]15 \times 2 - 5[/tex]
[tex]30 - 5[/tex]
[tex]25[/tex]
[tex]16 \times 2 - 5[/tex]
[tex]32 - 5[/tex]
[tex]27[/tex]
[tex]17 \times 2 - 5[/tex]
[tex]34 - 5[/tex]
[tex]29[/tex]
We can denote these using the function defined by:f(x)=2x-5The steps to finding y, for each x are done above!!
Brainliest if correct
Answer:
The answer is D
Step-by-step explanation:
Mark brainliest
I’m very confused I hate this
Answer:
12
Step-by-step explanation:
its as easy as this:
what is 4 times 3?
12
Answer: the answer is 12 .
Step-by-step explanation: multiply 4 shirts times 3 shorts will give you 12 . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST
.THANKS .
Find the value of
(-3)
Show work
Must show work!!
Answer:
16/81
Step-by-step explanation:
(-2/3)^4
expand...
-2/3*-2/3*-2/3*-2/3
multiply
numerator: -2*-2*-2*-2=16
denominator: 3*3*3*3=81
Thus the fraction is 16/81
Hope this helps!!!
Simplify.
Cubed root of -128x^6y^5
Answer
-640x^6y
Step-by-step explanation:
Zachary invested $130 in an account paying an interest
rate of 3.6% compounded daily. Assuming no deposits
or withdrawals are made, how much money would be
in the account after 11 years?
Answer:
i don't know lol
Step-by-step explanation:
it would be better to guess
Answer:193
Step-by-step explanation:
193.15923933 and then round to 193
How to find the square root of complex numbers?? Find the square root of (6+8i) ??
Answer: NaN
Step-by-step explanation: The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.
http://www.math.com/students/calculators/source/square-root.htm
that's the website I used
You can also maybe do it on a scientific calculator?
Hope that's helpful
no one is answering i posted this question 2 times, this is my 3rd time please answer.
Answer:
13
Step-by-step explanation:
First, fill in 3 boxes of the table using the given information (blue numbers on the attached table)
"Of the 32 students that have a cell phone, 19 students do not have a tablet."
The top row of the table is students who have a cell phone. Therefore, place 19 in the box in this row that is in the "no tablet" column.
"Of the 70 students that have a tablet, 57 students do not have a cell phone."
The first column of the table is students who have a tablet. Therefore, place 57 in the box in the 2nd row of this column.
"11 students do not have a cell phone or a tablet."
Find the "no cell phone" row and the "no tablet" column and place 11 in the box that coincides.
We can calculate the blank totals using addition (shown by green numbers on the attached table)
Total students with no cell phone = 57 + 11 = 68Total students with no tablet = 19 + 11 = 30To calculate the number of students who have a cell phone AND a tablet:
⇒ Total students with a cell phone minus students with a cell phone but no tablet
⇒ 32 - 19 = 13
Gina has a bag of marbles with 5 different colors. She randomly selects a marble from
the bag and then returns the marble to the bag. She does this 300 times. The table
below shows her results.
Answer:
[tex] \frac{7}{20} [/tex]
Step-by-step explanation:
Red marbles = 33
Blue marbles = 72
Probability of selecting red or blue marbles:
[tex]33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20} [/tex]
What are the solutions to the equation x^2 - 8x= 24
Answer:
Step-by-step explanation:
Try to get all the numbers and variables on one side of the =
X^2 - 8x - 24 = 0
I think solving this equation via factorisation would be difficult so you should use the quadratic formula which I have attached.
I have this equation that I tried to factor:
2m^2 +7m+6
I got (2m+1)(m+6) because 6*1=6 and 6+1=7
but after confirming it with an algebra solving site, the answer is (2m+3)(m+2)
How would you arrive to this answer? (It would be great if you could explain each step)
The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.
Now we must find two factors of 12 that add to 7 (the middle coefficient).
Through trial and error, you should find that:
3*4 = 12
3+4 = 7
So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.
2m^2 + 7m + 6
2m^2 + 3m + 4m + 6
(2m^2 + 3m) + (4m + 6)
m(2m + 3) + 2(2m + 3)
(m + 2)(2m + 3)
(2m + 3)(m + 2)
The order of the factors doesn't matter since something like 2*3 is the same as 3*2.
------------------------------------------------
Verifying the answer:
You can use technology like you did to check the answer, but here's one way to do it without a calculator.
(2m + 3)(m + 2)
n(m + 2) ...... let n = 2m+3
mn + 2n .... distribute
m( n ) + 2( n )
m(2m+3) + 2(2m+3) .... plug in n = 2m+3
m*2m + m*3 + 2*2m + 2*3 .... distribute
2m^2 + 3m + 4m + 6
2m^2 + 7m + 6
We arrive back at the original trinomial, so we have confirmed the answer.
PLEASE LOOK AT PICTURE AND HELP!!!
Answer:
answer A
Step-by-step explanation:
nnnnmmmkkkkkkookl
HELP - 100 POINTS AND BRAINLIEST
An equation is shown below:
5x + 3(x – 5) = 6x + 2x – 15
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
Answer:
Infinitely many solutions
Step-by-step explanation:
A.
5x + 3(x – 5) = 6x + 2x – 15
5x + 3(x) + 3(–5) = 6x + 2x – 15
5x + 3x – 15 = 8x – 15
8x – 15 = 8x – 15
This equation has infinitely many solutions.
Why? because they have the same terms on both sides of the equation, everything is the same.
B.
One property that was used to solve this equation is the distributive property 3(x – 5).
Hope this helps!
I NEED HELP RIGHT NOWW
what is the y intercept of this line
Answer:
(0,21)
Step-by-step explanation:
when you want to find the x intercept make y=0
to find the y intercept make x=0
Use the triangle to find each of the six trigonometric functions of _. Show all work
Answer:
you need to find that missing side... so (A squared) x (B squared) = (C squared)
A squared = 5
B squared is missing
C squared = 6
A=25
C=36
36-25= B squared....... B= (square root of 11)
now you need to plug in the numbers for the 6 trig equations...
sin0 = 5/6
cos0 = (square root of 11)/6
tan0 = 5/(square root of 11) which actually equals 5(square root of 11)/11
csc0 = 6/5
sec0= 6/ (square root of 11) which actually equals 6(square root of 11)/11
cot0 = (square root of 11/5
Step-by-step explanation:
I'd like someone to help me, please!
Julie has 9 rings in her jewelry box. Five are gold and four are silver. If she randomly
selects 3 rings to wear, find each probability:
a) P(exactly 2 silver)
b) P(at least 2 gold)
c) P(all 3 gold or all 3 silver)
d) P(at least 1 silver)
Type the correct answer in the box.
In the figure, a square is inside another bigger square.
If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is
units and the length of the diagonal of the inside square rounded to the nearest tenth is
units.
Answer:
For the outside square, the diagonal is 7√2, or about 9.9 units.
For the inside square, the diagonal is 5√2, or about 7.1 units.
What are the circumstances under which a person will feel disadvantage, if the parking ticket is lost
The circumstances where an individual will feel disadvantaged if they misplace or lost a parking ticket is that:
The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.What is a parking ticket?A parking ticket is a piece of paper informing someone that they have parked a car unlawfully or for an excessively lengthy period of time and must pay a fine.
It is also know to be a notice informing a driver of a fee levied for improperly parking, usually written by a traffic officer and placed to a vehicle windscreen.
However, an individual will feel disadvantaged if they misplace or lost the ticket because:
The parking attendant will find it difficult and tasking to locate your car in an absence of a parking ticket.You'll also be charged an extra expensive fee for a lost ticket.Learn more about a parking ticket here:
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A company just paid a dividend of $1.20 per share at the end of the year. It is expected to grow at 12% per year for three years, after that it grows constantly at 6%. The cost of equity is 9.5%. What is the current price of stock?
The current price of the stock given the dividend, cost of equity and growth rates is $46.90.
What is the current stock price?Thw two-stage dividend growth model would be used to determine the value of the stock.
First stage:
dividend in Y1 = 1.20x 1.12 = 1.344dividend in Y2 = 1.20 x 1.12^2 = 1.505dividend in Y3 = 1.20 x 1.12^3 = 1.69Second stage:
Y3 = (1.69 X 1.06) / (0.095 - 0.06) = 51.059
Find the present value of these cash flows
(1.344 / 1.095) + (1.505 / 1.095²) + (1.69 / 1.095³) + (51.059/1.095³) = $46.90
To learn more about the two stage dividend model, please check: https://brainly.com/question/26564273
During taylor's experiment, which piece of data would be qualitative?
There isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
What is qualitative data?Qualitative data tells about the quality or characteristic. It is tough to express it numerically or not at all expressible numerically. They are usually catagorical.
In contrast, there is quantitative data which can be expressed numerically.
The problem is missing its option, which are:
mass of the carsdegree of the ramp inclinetime in secondsnone are qualitativeMass can be measured (in kgs, grams etc), degree of inclination can be measured (in radians, degree etc), time can be measured (in seconds, minutes etc).
Thus, there isn't any piece of data during Taylor's experiment which can be taken as qualitative. Thus, correct choice is: Option D: None are qualitative.
Learn more about qualitative and quantitative data here:
https://brainly.com/question/12929865
What is the square root of 625?
Answer: 25
Step-by-step explanation:
25 * 25 = 625
Answer:
625
Step-by-step explanation:
25 times 25 equals 625
Mai's family is traveling in a car at a constant speed of 65 miles per hour.
a. At that speed, how long will it take them to travel 195 miles?
b. How far do they travel in 30 minutes?
Answer:
a) 3 hr b ) 32.5 miles
Step-by-step explanation:
195 m / 65 m/hr = 3 hr
65 m/hr * 1/2 hr = 32.5 miles
hello people ~
factorise: x ^ 2 = 17x + 60
Answer:
[tex]\rightarrow \sf x^2=\:17x\:+\:60[/tex]
change sides
[tex]\rightarrow \sf x^2 -17x -60 = 0[/tex]
breakdown, (60 : 20 * 3)
[tex]\rightarrow \sf x^2 -20x +3x-60 = 0[/tex]
factor the following
[tex]\rightarrow \sf x(x -20) +3(x-20) = 0[/tex]
collect into groups
[tex]\rightarrow \sf (x +3)(x-20) = 0[/tex]
final answer
[tex]\rightarrow \sf x=-3, \ 20[/tex]
Answer:
(x-20) (x+3) =0
Step-by-step explanation:
x ^ 2 = 17x + 60
Subtract 17x from each side
x ^ 2 - 17x = 60
Subtract 60 from each side
x ^ 2 - 17x - 60=0
What 2 numbers multiply by -60 and add to -17
-20 * 3 = -60
-20 +3 = -17
(x-20) (x+3) =0
HELP PLEASE IT'S DUE IN AN HOUR, I also need to understand it for future qs
Answer:
a)5.83cm
Step-by-step explanation:
You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.
not sure about the 2nd bit, but you may have to use trigonometry
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true?
How many sides does a polygon have if the sum of the measures of the interior angles is 5940
Answer:
Sorry for my handwriting
[tex]180(x - 2) = sum[/tex]
where x is the number of sides of the polygon.
[tex]180(x - 2) = 5940[/tex][tex]180x - 360 = 5940[/tex]
[tex]180x = 5940 + 360[/tex]
[tex]180x = 6300[/tex]
[tex]x = \frac{6300}{180} = 35 \: sides[/tex]
Algebra 1? What am I supposed to do it is so confusing
Answer:
you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.
Order Least to greatest
31/4 , 7.47, 7.706, 7 7/10
Answer:
Okay ordering them from least to greatest would be 7.47, 7.70, 7.706, and then 7.75.
Step-by-step explanation:
31/4 can also be simplified into 7.75
7.47 stays the same
so does 7.706
and 7 7/10 can be simplified into 7.70
So the order would be 7.47, 7.70, 7.706, and then 7.75.