Find the total amount in the compound interest account.
​$1740 is compounded daily at a rate of 12​% for 5 years. Let 1 yearequals=365 days.

=$

Answers

Answer 1
[tex]\bf \qquad \textit{Compounding Continuously Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1740\\ r=rate\to 12\%\to \frac{12}{100}\to &0.12\\ t=years\to &5 \end{cases} \\\\\\ A=1740\cdot e^{0.12\cdot 5}[/tex]

bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.

Related Questions

what is the value of XY over WFX equals negative 3Y equals four and W equals -6

Answers

I don't understand the question.

The gym trainer is purchasing some new weights and a new balance bar. The weights cost $4.50 each. The balance bar costs $78. The trainer has $156. What is the greatest number of weights the trainer can purchase?

Question 13 options:

17


18


20


24





Mr. Blair is taking his family to the Great Wolfe Lodge. There are 10 people going to the Great Wolfe Lodge, and they need 3 rooms. Mr. Blair pays $110 for each of the three rooms. He gives each person including himself an allowance of money to spend. Mr. Blair has budgeted $530 for the rooms and the spending money he gives each family member. How much money did he allow in the budget for each member to spend?

Question 14 options:

$15.00


$20.00


$43.00


$53.00





Answers

1. 4.5 x + 78 = 156
  156 - 78 = 78 / 4.5 = 17
2.  110 x 3 = 330 
   530 - 330 = 200 
  200 / 10 = $20 each 
Final answer:

The greatest number of weights the trainer can purchase is 17.

Explanation:

To find the maximum number of weights the trainer can purchase, we need to divide the trainer's total budget by the cost of each weight.

Step 1: Find the cost of weights per trainer's budget: $156 - $78 = $78

Step 2: Divide the cost of weights by the cost of each weight: $78 / $4.50 = 17.33

Since you cannot purchase a fraction of a weight, the trainer can purchase a maximum of 17 weights.

Solve this questionhhhhhhhh

Answers

18 + 64 - 12

PEMDAS tells us that addition comes before subtraction :)

So, we do 18 + 64 before subtracting 12.

18 + 64 = 82

82 - 12 = 70

So, 18 + 64 - 12 = 70

~Hope I helped!~

What is the domain of the function f(x)=4x-16

Answers

The domain is the x values, and it is infinitive because a line extends infinitely.

Order 0.40mm, 40mm , 0.4 mm, and 0.004mm from most to least precise

Answers

0.004 mm, 0.40 mm, 0.4 mm, 40 mm. I think.... :)

Formula to find volume of a right triangular prism

Answers

the formula is base x height

In a lottery, 1000 tickets are sold at .25 each. there are 3 cash prizes: 100, 50, and 30. alice buys 5 tickets. what would be a fair price for a ticket

Answers

Final answer:

To determine a fair price for a lottery ticket, calculate the expected value by adding the product of the probabilities and outcomes of all prizes. In the given raffle scenario, the fair price would be $0.35, which is the expected value of a ticket.

Explanation:

The question pertains to the concept of expected value in probability, which is often used to determine a fair price for lottery tickets. Expected value is calculated by multiplying the probability of each outcome by the payout of that outcome and then summing these products. In a raffle with 250 prizes of $5, 50 prizes of $25, and 10 prizes of $100, with 10,000 tickets sold, we can calculate the expected value as follows:

Expected value from $5 prizes = (250 prizes * $5) / 10,000 tickets = $0.125

Expected value from $25 prizes = (50 prizes * $25) / 10,000 tickets = $0.125

Expected value from $100 prizes = (10 prizes * $100) / 10,000 tickets = $0.100

Adding these up, the expected value of a ticket is $0.125 + $0.125 + $0.100 = $0.35. Therefore, a fair price for a ticket would be $0.35 to break even.

Q is the midpoint of PR R is the midpoint of QS Prove: PR = QS

Answers

1. Q is the midpoint of PR       1. Given
2. PQ = QR                              2. Definition of midpoint of a segment
3. R is the midpoint o QS        3. Given
4. QR = RS                              4. Definition of midpoint of a segment
5. PQ + QR = QR + RS           5. Addition property of equality
6. PR = QS                              6. Segment addition postulate

Proving that PR = QS

Given: Q is the midpoint of PR

The midpoint of a segment: PQ = QR

Given: R is the midpoint of QS

The midpoint of a segment: PQ = QR

The addition property of Equality : QR + RS = PQ + QR

Therefore, PR = QS

To learn more, visit the link below:

brainly.com/question/13457564

help with pythagorean theorem!! BRAINLIEST ANSWER

Answers

x^2 +x^2 = C^2

x^2 +x^2 = 15^2

x^2 + x^2 = 225

225/2 = 112.5 = x^2

sqrt(112.5) = 10.6066


 round answer as needed


 note the answer can also be written as 15sqrt(2)/2

A flower store has 25 daisies and 15 tulips. It puts the same number of flowers in each of 5 bouquets.

Answers

Okay.........................
I believe that the answer is 8 because 25 + 15=40 and 40 divided by 5 is 8 .

Match the statement to the property it shows

Answers

Was there a picture or something? if so can you show it so I can help

Form the union for the following sets.

R = {10, 15, 20}
S = {20, 25}
R ∪ S =

A. { }
B. {20}
C. {10, 15, 25}
D. {10, 15, 20, 25}

Answers

It's D.) {10,15,20,25}
Union of two sets R and S is the set which contains all element, which are in either set R or S. The symbol for union is ∪, so the union of two sets is written as R∪S. 
In our case, the sets are:
R = {10, 15, 20}
S = {20, 25}
The union for the sets R and S are: 
D. {10, 15, 20, 25}
Intersection on the other hand is the set that contains the elements that belong both in set R and set S. 

Plz I need help asap:

Parallelogram CDEF is shown below.


Find the length of the segments and the measure of the angles: CF, FE, ∠D, and ∠E.

Answers

as this is a parallelogram c=e
so 9y=7y+28
9y-7y=28
2y=28
y=14

so e would be 7(14)+28
=98+28
=126.

 and as d + e =180, d=180-126
d=54

and as CF=DE
2x=x+5
2x-x=5
x=5

CF=2x
=2(5)
=10

and lastly CD=FE
CD=3x-4
CD=3(5)-4
=15-4
=11

FE=11

so the answers are:
FE=11
CF=10
d=54
e=126.

hope this helps


1st Length of CF, ED, CD, FE
Since it's a parallelogram opposite sides are equal. then:

CF = DE → 2x = x+5 . Solve for x; 2x-x = 5 and x =5.
So CF = DE = 10

2nd Length of CD, FE

CD = FE = 3x-4, but x = 5, then CD = FE = 3(5) - 4 = 11
So CD = FE = 11

3rd) In a parallelogram opposite angle are equal, then

∠C = ∠ E →  9y° = (7y-28)° → 9y = 7y-28 →9y-2y = 28 →2 y = 28 and y=14

if ∠ C = 9y then ∠C = ∠E = (9).(14) = 126°

If you flip a fair coin 5 times, what is the probability that you will get exactly 3 tails?

Answers

The probability of getting exactly 3 tails when flipping a fair coin 5 times is 0.3125, or [tex]\( 31.25\% \)[/tex]. This means that in about 31.25% of the cases, when flipping a fair coin 5 times, exactly 3 of those flips will result in tails.

To find the probability of getting exactly 3 tails when flipping a fair coin 5 times, we can use the binomial probability formula. In a binomial experiment like this, where there are only two possible outcomes (heads or tails) and each trial is independent and has the same probability of success (50% for a fair coin), we can use the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k} \][/tex]

Where:

- P(X = k) is the probability of getting exactly k successes (tails, in this case).

- n is the number of trials (5 flips).

- k is the number of successes (3 tails).

- p is the probability of success on each trial (0.5 for a fair coin).

- (1-p) is the probability of failure on each trial.

Substituting the given values into the formula:

[tex]\[ P(X = 3) = \binom{5}{3} \times (0.5)^3 \times (1-0.5)^{5-3} \][/tex]

[tex]\[ P(X = 3) = \binom{5}{3} \times 0.5^3 \times 0.5^2 \][/tex]

[tex]\[ P(X = 3) = \frac{5!}{3!(5-3)!} \times 0.5^3 \times 0.5^2 \][/tex]

[tex]\[ P(X = 3) = \frac{5 \times 4}{2 \times 1} \times 0.125 \times 0.25 \][/tex]

[tex]\[ P(X = 3) = 10 \times 0.125 \times 0.25 \][/tex]

[tex]\[ P(X = 3) = 0.3125 \][/tex]

So, the probability of getting exactly 3 tails when flipping a fair coin 5 times is 0.3125, or [tex]\( 31.25\% \)[/tex].

This means that in about 31.25% of the cases, when flipping a fair coin 5 times, exactly 3 of those flips will result in tails.

how many 2 digit numbers are divisible by either 3 or 5

Answers

not doubling any numbers there are 46 

Garrick gets paid $4.70 an hour with time-and-a-half for overtime (over 40 hours) How much did he earn one week when he worked 48 hours?
A. $195.05
B. $220.90
C. $230.30
D. $188
pleeeaaase explain your process on how you got to that answer you picked

Answers

$188.00 the way i got this answer was by multiplying 4.70 with 40

what does at least mean in a word problem less than or greater than

Answers

At least means greater than or equal to. (≥)
\
At least means, a number equal to that number or greater

Help please pre calculus

Answers

Since a log graph is with base 10 and a ln graph is with base e (2.something), the log x graph will clearly have smaller numbers (as, for example, log100=2 and ln100=around 4.6). In addition, you only have to multiply a number by e to increase the power by 1 but you have to multiply a number by 10 (which is significantly larger than e) to increase logx's power by 1, therefore proving that the log x graph will grow slower

Simplify 4a​ +​ ​ ​8b ​ -​ ​ ​6b​ +​ ​ 2a​

Answers

Here is your answer:                                                                                                                              Combine like terms:                                                                                              4a+2a=6a and 8b-6b=2b                                                                                        Your answer is 6a+2b

Answer:

The answer is 6a+2b

Step-by-step explanation:

hope it's helpful :)

If the product of a number and negative −3 is subtracted from the​ number, the result is 11 more than the number. find the number.

Answers

The answer would be 2.2.

This sentence as an expression would be n - (-3n) = n + 11.
Solve it and you'll get 2.2!

Which statement can be used to fill in the blank space?

Answers

If we draw a diagonal which will also be a transversal DB, then we get ∠ADB is congruent to ∠CBD by Alternate interior angles.

It will be the first option.

The statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.

What is a rectangle?

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The diagram below shows the rectangle ABCD.

The diagonals AC and BD are drawn.

From the diagram,

According to alternate interior angle theorem, [tex]\angle ADB[/tex] and [tex]\angle CBD[/tex] are alternate interior angles .

Hence we can conclude that the statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.

Learn more about the rectangles here

https://brainly.com/question/1380651

#SPJ3

a total of 32 students have entered a spelling contest. There are 6 medals for first through sixth place that will be awarded. In how many different ways can the medals be awarded?

Answers

Final answer:

There are 27,405,5040 different ways the medals can be awarded to the 32 students.

Explanation:

In this problem, we need to find the number of different ways the 6 medals can be awarded to the 32 students. To solve this, we can use the concept of permutations. There are 32 students competing for the first medal, so there are 32 choices for that medal. Once the first medal is awarded, there are 31 students remaining to compete for the second medal, so there are 31 choices for that medal. We continue this process until all 6 medals have been awarded. Therefore, the total number of different ways the medals can be awarded is 32 * 31 * 30 * 29 * 28 * 27 = 27,405,5040.

What is the equations of the quadratic function with a vertex (4, -4) and a point at (3, -6)?

Answers

What is the equations of the quadratic function with a vertex (4, -4) and a point at (3, -6)?  There's just one such equation.  Let's begin with the standard equation of a vertical parabola whose vertex is (h,k):

y-k = a(x-h).    

The equivalent equation of a horiz. polynomial is x-h = a(y-k)^2.

Plot the given points and try to determine from your graph whether the parabola in question is vertical or horizontal.

You could, of course, just begin substituting the coordinates of the given points and determine whether doing so leads to a proper equation of a parabola.

Let's actually try this for the parabola with vertex (4,-4) that passes thru the point (3,-6):

y-[-4] = a(x-4)^2
Let's now substitute the coordinates of the point (3,-6):

-6+4 = a(3-4)^2

This becomes -2 = a.  Thus, from the given two points, we end up with the equation of a vertical parabola

y+4 = -2(x-4)^2

Let's check our work here.  First, focus on the vertex:  It's (4,-4).  Let's substitute these coordinates into y+4 = -2(x-4)^2.  Is the equation then true?

-4+4= -2(4-4)^2            Is 0 = to 0?  Yes.  What does that tell us?

One number is 3 more than twice another number. if the sum of two number is 39, find the two numbers

Answers

X=3+2y
X+y=39
3+2y+y=39
3y=39-3=36
Y= 12,x= 3+2*12=27

(X+3)^2-x^2=39  x^2+6X+9-x^2=39 6x+9=39. 6x=30 x =5 x+3=8

What is the least common multiple of 18, 16, and 9?

Answers

lcm = 2×2×2×2×3×3 = 144

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer: -1/3

Step-by-step explanation:

Slope is the difference between the y coordinate points divided by the x coordinate points

We have (-1, 2) and (-4, 3)

Slope = 3 - 2/ -4 - (-1)

Slope = -1/3

Use the chart to multiply the binomial by the trinomial (y+3)(y^2-3y+9) What is the product? y3 + 27 y3 – 27 y3 – 6y2 + 27 y3 + 6y2 + 27

Answers

(y+3)(y^2−3y+9)=(y+3)(y^2+−3y+9)=(y)(y^2)+(y)(−3y)+(y)(9)+(3)(y^2)+(3)(−3y)+(3)(9)=y^3−3y^2+9y+3y^2−9y+27=y^3+27

The metamorphosis what happens when grete gives a violin recital for the three lodgers

Answers

In The Metamorphosis, Grete performs her violin for her family's three lodgers. They listen for awhile, but become bored and lose focus. Gregor, however, is drawn by the music and emerges from his room with no care for his appearance. The lodgers declare that they will not pay to live in such a dirty place. Gregor's sister tells her parents they have cared for "the creature" long enough and that they should get rid of it, then bursts into tears. She claims Gregor can't understand them, anyway, so this is a discussion they shouldn't hide from him. She states that this is clearly not really Gregor, as Gregor would have left because of this treatment. Gregor returns to his room, locked in by his sister, and decides she is correct. He dies at dawn.

A right triangle has a hypotenuse that measures 65 in. and one side that measure 16 in. what is the length of the remaining side of the triangle?

Answers

Using phytagoras rule your answer will be 63

Kara bought a new dress. the original price of the dress was $65.50. there was a 15% discount on the dress. how much did kara pay for the dress?

Answers

You would do 15/100 to turn the percentage into a decimal.
Then you would multiply 65.50 with .15.

65.5*.15=9.825
That would be the amount of money she got discounted.
In order to get the total, you would subtract the amount of money she got discounted by the original price.

65.5-9.825=55.675
If you round it you would get $55.68

Final answer:

Kara will pay $55.68 for the dress after a 15% discount is applied to the original price of $65.50.

Explanation:

Kara wants to buy a dress with an original price of $65.50, and there is a 15% discount on it.

To find out how much Kara will pay for the dress after the discount, we first need to calculate the amount of the discount.

To do this, we convert the percentage to a decimal by dividing by 100 (15% = 0.15) and then multiply it by the original price of the dress.

The amount of the discount is:

$65.50 × 0.15 = $9.825.

To find out the final price that Kara pays, we subtract the discount from the original price:

$65.50 - $9.825 = $55.675.

However, stores usually round the price to the nearest cent, so Kara would pay $55.68 for the dress after the discount is applied.

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