Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t sandra has two credit cards, p and q. card p has a balance of $726.19 and an interest rate of 10.19%, compounded semiannually. card q has a balance of $855.20 and an interest rate of 8.63%, compounded monthly. assuming that sandra makes no purchases and no payments with either card, after four years, which card’s balance will have increased by more, and how much greater will that increase be? a. card q’s balance increased by $7.22 more than card p’s balance. b. card q’s balance increased by $6.69 more than card p’s balance. c. card p’s balance increased by $3.43 more than card q’s balance. d. card p’s balance increased by $0.80 more than card q’s balance. please select the best answer from the choices provided a b c d

Answers

Answer 1

The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Case 1: For card p:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)[/tex]

Case 2: For card q:

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)[/tex]

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

Learn more about compound interest here:

https://brainly.com/question/1329401


Related Questions

answer and explanation !!
QUICK PLS

Answers

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 8 in

[tex]\textbf{Area of cylinder = $2\pi r(r+h)$ }[/tex]

                              [tex]= 2*3.14*3*(3+8)\\\\= 2*3.14*3*11\\\\= 207.24 \ in^{2}[/tex]

                             

the above is is correct 207.24 in squared

NEED HELP NOW PLEASE!!! Will give Brainlyist points

Answers

It’s -1 the guy above me is right

Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.

Answers

A is the correct answer because it is adding the amount of money and pound multiplied + the other which is accurate to equal 24. the answer would be 3 x 6 + 2 x 3 = 24, 3 x 4 + 2 x 6 = 24, and etc

If QR=x+29 and PS=x–16, what is the value of x?

Answers

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

find the distance between the follwing points: (-4,11), (3,5)

Answers

Answer:

43

Step-by-step explanation:

equation= sqrt (x2-x1)^2 + (y2-y1)^2

how can you take 20% off of a normal price

Answers

Multiply original price by 0.8 to get the discounted price.

try to understand the example.

I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%

hope it helps...!!!

3. What is the slope of a line that passes
through (0,-5) and (8,27)?

Answers

Answer:

4.

Step-by-step explanation:

Slope = difference in y coordinates / difference in the corresponding x coordinates

(27 - (-5)) / (8 - 0)

= 32 / 8

= 4.

Answer: Well, The entered points belong to an increasing, linear function.

Equation: y = 2.75x + 5.

You're key in this will be y=mx+b right?

Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-

2.75.

So you're slope is y= 2.75x      

I'm not that great at explaining but yeah, i tried lolz :3      

Brainliest available

Find "X"

Answers

I think you meant solve [tex](4^2)x(2^9)[/tex]

Answer:

8192

Step-by-step explanation:

Given:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

Solution:

[tex]\left(4^2\right)x\left(2^9\right)[/tex]

[tex]=4^2x \:2^9[/tex]

[tex]4^2=16[/tex]

[tex]=16x \:2^9[/tex]

[tex]2^9=512[/tex]

[tex]=16x\:512[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]

[tex]=8192[/tex]

~lenvy~

Answer:

=> 8192

Step-by-step explanation:

Given :

(4²)x(2⁹)

=> (16)x(512)

=> 16.512

=> 8192

Please Help! Which of the following methods is not used to prove triangles are congruent?

Answers

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

6x4y how do I solve this?.

Answers

Answer:

24y

Step-by-step explanation:

Multiple 6x4 to get 24

and then put the y in to

get your answer

solution÷

6×4y

6×4y=0

multiply 6×4y

24y=0

now send 24 to the right side and divide

y=0÷24

therefore,y=0

PLEASe help!!! hurrry!!

Answers

Answer:

x is 6 degrees

Step-by-step explanation:

so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90  because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)

7x + 8x = 90

15x = 90

x = 90/15

x = 6

Answer:

See Below.

Explanation:

Both the angles lie inside a right angle, whose total sum is 90 degrees.

Solve:

7(x) + 8(x) = 90°15(x) = 90°x = 6°

Each of the angle:

7(x) ⇒ 7(6) = 42°

8(x) ⇒ 8(6) = 48°

2m - 3 - 5= -m + 10 please help me

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

How can the product of 0.8 and 2 be determined by using a number line?

Number line from 0 to 2 with tick marks at every tenth.

Enter your answers in the boxes.

Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.

Answers

I don’t know that sorry

samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?

Answers

Interest rate=8%Time=1yr

Total interest:-

8% of deposit8% of 8500.08(850)Rs68

- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know

Answers

Answer= 0.00892857142

Explanation= it is either that or some whole number with half’s you didn’t give a picture or real detail so it is hard to know what grade level you would be at because it could be something totally different it it was in a certain lesson anyways I hope this helped!

17. Find the volume of the prism.​

Answers

Answer:

6.4 in^3 would be the correct answer

A square on the board is chosen at random. Find the probability as a fraction in simplest form

Answers

The probability of selecting a square is the likelihood of the square

The probability that the square selected is a multiples of 3 not less than 10 is 3/20

How to determine the probability?

The given parameters are:

Squares = 20

Multiples of 3 not less than 10 = 3

Stripped balloons = 17

The probability that the square selected is a multiples of 3 not less than 10 is calculated as:

P = n(Multiples of 3 not less than 10)/Total

This gives

P = 3/20

Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20

Read more about probability at:

https://brainly.com/question/251701



Draw a picture to answer.
what is 1/4 of 12?

Answers

Answer:

3

Step-by-step explanation:

1/4 x12= 12/4

12/4=3

4+6x=16 how to solve it

Answers

Answer:

Step-by-step explanation:

Remark

The first step is the key step. You have to get the xs on one side and the numbers on the other.

Solution

4 + 6x = 16                  Subtract 4 from both sides

4-4+6x = 16 - 4           Combine

6x = 12                        Divide both sides by 6. You want x by itself.

6x/6 = 12/6

Answer: x = 2

the answer is 2. you need to try and get x by itself subtract the 4 sticking onto it. What you do to one side you have to do to the other so now you have 6x=12 now that’s just saying 6 times X is 12 so divide 6 by 12 and your answer is 2

on a test given in math class 60 students arrive in take out their supplies. Of those students, 23 bring pens and 36 bring pencils. Only three students a ride with me neither. How many brought both a pen and a pencil

Answers

11 students brought both a pen and a pencil

59 students brought a pen or pencil or both
48 + 22 = 70
70-59 = 11
11 students brought both a pen and a pencil

-4 + 3y = 29
5x + y = -3
solve by substitution

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

y=11

x= -2.8

Step-by-step explanation:

y= -5x-3

-4+3 (-5x-3)=29

-4-15x-9=29

-4-9-29=15x

-42=15x

x= -2.8

y= -1 (5×-2.8)-3

=14-3

y=11

Part B.
Directions: Solve for the area of the triangle in each of the following problems.
10) 22 cm 21 cm
11) 16 m 15 m

Answers

Answer:

#10=462

#11=240

Step-by-step explanation:

22x21=462

16x15=240

Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the
phrase "Girls Rule!" If there are eight stickers with this message in a sample of 36 stickers, what is the 95% confidence interval
for this proportion? (1 point)
0 (0.0864, 0.3580)
0 (0.0862, 0.3578)
0 (0.0847, 0.3553)
0 (0.0812, 0.3256)

Answers

Answer:

p^​=368​=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222)​​,0.2222+1.96360.2222(1−0.2222)​​)==(0.0864,0.3580).

=(0.0864,0.3580).

Step-by-step explanation:

flvs?

The 95% confidence interval for the given proportion is  (0.864, 0.3580).

What is a confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.

Given total samples = E = 36

number of outcomes  = 8

probability = p = 8/36 = 0.2222

value of z for 95% confidence interval = 1.96

intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])

taking positive sign

= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580

taking negative sign

= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex]  = 0.0864

Hence, the intervals are  (0.864, 0.3580), and option A is a suitable answer.

Learn more about confidence intervals;

https://brainly.com/question/24131141

#SPJ2

can you please help with this please.

Answers

Answer: The following is listed below.

Step-by-step explanation: The following pairs are below:

3 quarters (.75¢): 7 dimes and 1 nickel.9 dimes (.90¢): 3 quarters and 3 nickels.17 nickels (.85¢): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30¢): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60¢): 2 quarters and 1 dime.13 nickels (.65¢): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.

Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!

Remember, 0.25¢is a quarter, 0.10¢is a dime, 0.05¢is a nickel, and 0.01¢is a penny.

Have a great day! :)

Find The Square Root Of
[tex] \frac{144}{169 } [/tex]

Answers

Hello!

[tex]===============================[/tex]

Let's find the square root of

[tex]\bold{\displaystyle\frac{144}{169}}[/tex]

So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?

Take the square root of both the numerator (144) and the denominator (169)

[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]

The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)

[tex]\bold{\displaystyle\frac{12}{13}}[/tex]

This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].

[tex]==================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)

Answered by:

[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]

Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%

Answers

Answer:

the answer; 32÷36×100 will give the answer (d) -88.9%

PLEASE SOLVE PRETTY URGENT

Answers

If the two cylinders are similar, that means that the ratio between the diameter and the height will be the same in both solids.

In the bottom cylinder, we have a ratio of 3ft to 12ft. This is a ratio of 3:12, or 1:4, where the 1 is the height and 4 is the diameter.

The top cylinder has a height of 8 inches, meaning that the 8 corresponds to the 1 in the ratio. Thus, we can set up the equation like this:

[tex]\frac{1}{4} =\frac{8}{x}[/tex]

To get from 1 to 8, we have to multiply by 8. But because we don't want to change the ratio, we have to multiply the denominator by 8 as well:

[tex]\frac{1}{4}*\frac{8}{8}=\frac{8}{32}[/tex]

That means the top cylinder has a diameter of 32. But we can't forget our units. Because we used 8 inches in our ratio, that means the diameter is 32 inches.

Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss

Answers

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10

Answers

Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.

4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3​

Answers

Answer:

multiplication, so d, 2 x 3

Step-by-step explanation:

remember... PEMDAS!!

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