Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?

Answers

Answer 1
$54970

11 years = 132 months so the balance will compound 132 times.
Adding 3.8% is the same as multiplying by 1.038
400 x 1.038^132 = 54968.09

Of course the 3.8% interest per month is an effective rate of 56.4% per annum
Ariana should have invested a lot more at this amazing rate of interest.

A more reasonable question would have said the annual rate of 3.8% was compounding monthly
3.8% pa = 0.31666...% per month
400 x 1.0031667^132 = $607.17
Depending on the level of your course this answer makes more sense

Related Questions

Find C.
Round to the nearest tenth.
20 ft)
22 ft
B
18 ft
А

Answers

50.5 degrees

Use the cosine rule for angles

cos C = (20^2 + 22^2 - 18^2)/(2 x 20 x 22) = 0.6363...
C = 50.5 degrees

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar

How much oil should kin use?Complete the Table

Answers

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

I’ll mark brainliest

Answers

Answer:

the answer is A

Step-by-step explanation:

the granpa bought 3 of the hoagie meals which means its 8×3 which is 24.

therefore he bought x of the burger meals. which means that it must be 6× X which means it is 6x.

lastly they ask for the total cost so you need to add the 24 to the 6x to get the total

An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?

Answers

Answer:

7x+12y<350

Step-by-step explanation:

7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350

Is the triangle a right angle? Pythagorean Theorem.​

Answers

Answer:

yes it is

Step-by-step explanation:

hopefully that helps

195ft i think because 10 x 19.5

because 39 divided by 2 is 19.5

so then 19.5 x 10 = 195ft

i believe that it is

Which of the following is an example of quantitative data?
A person's Zip Code

The color of your car

A Person's Height

A person's city of residence

Answers

Answer:

a person's height

Step-by-step explanation:

thing that you can count

Answer:

a person's height helpful answer

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$


How much total interest is paid? (Round your answer to the nearest cent.)
$

Answers

9514 1404 393

Answer:

monthly payment: $528.39interest paid: $3,703.40

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where the annual interest rate is r for t years on loan value P.

Filling in the given information, we find the monthly payment to be ...

  A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39

The monthly payment is $528.39.

__

The total amount repaid is ...

  ($528.39/mo)(60 mo) = $31,703.40

The interest paid is the difference between this and the loan amount:

  interest paid = $31,703.40 -28,000 = $3,703.40

The total interest paid is $3,703.40.

Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.


Which equation could be used to find the total.


A) y=2.50x

B) y=12.50x

C) y=2.50x + 10

D) y=2x-10

Answers

Answer:

C) y = 2.50x + 10

Step-by-step explanation:

Equation C is saying:

total cost = 2.50(number of games) + $10 entery fee

Hope this helps :)

Mark brainliest please

Answer is C

As it say to find total cost and y is given as total cost

As x is number of games and charge per game is 2.50 so it’s becomes 2,50x

Plus you have to add one time entrance fee which is $10.

So the equation becomes

y= 2.50x + 10

A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.

Machine
Shift A B C
1 Observed 46 11 13
Expected 40.27933 14.07821 15.64246
2 Observed 37 10 11
Expected 33.3743 11.6648 12.96089
3 Observed 20 15 16
Expected 29.34637 10.25698 11.39665

a. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
b. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
c. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
d. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577

Answers

The answer is going to be option b. The p-value = 0.0423

pls help for both 12 and 13!!

Answers

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.



Which equation can be used to determine the number of miles, m, to the airport?

Answers

Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

20=x

The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total cost of the taxi be represented as y

Let the number of miles traveled be represented as m

Now , the total cost = $ 13.50

The number of miles = m miles

The initial cost of taxi = $ 1.50

The cost per mile = $ 0.60

So , the equation is 13.50 = 1.50 + 0.6m

Subtracting 1.50 , we get

12 = 0.6m

Divide by 0.6 , we get

m = 20 miles

Hence , the number of miles is 20 miles

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

PLEASE HELP WITH ALGEBRA HOMEWORK.WILL MARK BRAINLIEST

Answers

[tex] {36}^{2x + 5} = {216}^{x - 1} [/tex]

[tex] {6}^{2(2x + 5)} = {6}^{3(x - 1)} [/tex]

[tex] {6}^{(4x + 10)} = {6}^{(3x - 3)} [/tex]

Since bases i.e 6 are same exponents are equal

4x+10= 3x-3

4x-3x = -3-10

x= -13

Answer:

x = -13

Step-by-step explanation:

36 = 6^2

216 = 6^3

36^(2x + 5) = 6^(2)^(2x + 5)

When taking an exponent to an exponet: multiply the exponents

36^(2x + 5) = 6^(4x + 10)

216^(x - 1) = 6^(3)^(x - 1)

When taking an exponent to an exponet: multiply the exponents

216^(x - 1) = 6^(3x - 3)

-----------------------------

Therefor

6^(4x + 10) = 6^(3x - 3)

Since the bases are the same the exponents are equal

4x + 10 = 3x - 3

Subtract 3x from both sides

x + 10 = -3

subtract 10 from both sides

x = -13

a farmer employs 12 men to harvest his crops.they take 9 boys to do the job.if he had employed 8 men,how ling would it have taken.​

Answers

Answer:

it needs more information

Emma wants to buy a new cell phone. She commits to saving 10% of the cost
each month. Let p be the percent she has saved after m months.

Answers

Answer:

p(m) = 0.1(m)

Step-by-step explanation:

Given that :

Percentage of cost saved per month = 10%

The percentage, p of cost saved after m months will be ;

Percentage of cost saved after m, months will be ; p(m) = Percentage of cost saved per month * number of months

p(m) = 10% * m

p(m) = 0.1(m)


The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?

Answers

Answer: 139.65 or 25.34.

Step-by-step explanation:

The revenue function will be:

= Price × Quantity

= P × (7,000 - 50p)

= 7000p - 50p²

The coat function is given as:

C = 2,000 + 25q

C = 2000 + 25(7000 - 50p)

C = 2000 + 175000 - 1250p

C = 177000 - 1250p

Then, we'll equate the revenue function to the cost function. This will be:

7000p - 50p² = 177000 - 1250p

-50p² + 7000p + 1250p - 177000 = 0

-50p² + 8250p - 177000 = 0

Divide through by -50

p² - 165 + 3540 = 0

Solving to get the value of P will then give us 139.65 or 25.34.

A rectangular field is two times as long as it is wide. If the perimeter of the field is 390 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is ______________ (Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field. The width of the field is _________ feet. The length of the field is _________ feet.

Answers

Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
20%
6.7%
52%
32%

Answers

52% as if you and the red and blue marbles it adds to 13 marbles over the 12 green marbles.

Answer:

52%

Step-by-step explanation:

There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.

13 / 25 = 0.52 or 52%

10) -2(n - 6) = 20
please help!

Answers

Answer:

n = 1

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(n − 6) = 20

Step 1: Simplify both sides of the equation.

−2(n − 6) = 20

(−2)(n) + (−2)(−6) = 20(Distribute)

−2n + 12 = 20

Step 2: Subtract 12 from both sides.

−2n + 12 − 12 = 20 − 12

−2n = 8

Step 3: Divide both sides by -2.

[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]

n = -4

Hope this helps, please mark brainliest if possible. Have a great day.

Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree

Answers

Answer:

33/55

Step-by-step explanation:

Total applicants, n(T) = 350

Female applicants, n(F) = 158

Female and Graduate applicants, n(FnG) = 66

Graduates, n(G) = 110

Probability of female Given that applicant has graduate degree; this is a conditional probability problem;

Recall :

P(A given B) = P(A|B) = P(AnB) / P(B)

Therefore ;

P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55

Geometry, circles please help that'd be great.

Answers

Answer:

maybe the answer is 63cm...

If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th

Answers

Answer:

91.8 feet^3

Step-by-step explanation:

We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).

Area of circle formula: pi x r^2

3.14 x 1.5^2 = 7.065

Now we can multiple it by the height and round to the nearest 10th.

7.065 x 13 = 91.845

91.845 -> 91.8

Hope this helps! Brainliest?

Answer:

Step-by-step explanation:

Givens

h = 13 feet

r = 1.5 feet

pi = 3.14

Equation

V = pi r^2 *h

V = 3.14 * 1.5^2 * 13

V = 91,8 cubic feet.

In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rhombus cross at right angles.

  2x +70 = 90

  2x = 20 . . . . . . . subtract 70

  x = 10 . . . . . . . . . divide by 2

Line segment CD is the altitude drawn to hypotenuse EF in right triangle ECF. If EC = 10 and EF = 24, then, to the nearest tenth, find ED.

Answers

Answer:

4.2 = ED

Step-by-step explanation:

C is the Right Angle.You will do yourself a great favor by drawing your own diagram. The easiest way to do this is to find CF first. Use the Pythagorean Theorem.The next step is to find the area of the triangles using EC * CF which you just found. Equate that to the hypotenuse * altitude(CD) to find CDThen use Pythagoras again to ED.

Step One

Find FC. That is the only side of the right triangle that you don't know the value of.

EC^2 + FC^2 = EF^2EC = 20FC = ?EF= 24   This the Hypotenuse.

10^2 + FC^2 = 24^2100 + FC^2 = 576                 Subtract 100 from both sides.FC^2 = 576 - 100                  Combine the right FC^2 = 476sqrt(FC^2) = sqrt(476)FC = 21.817

Step Two

Find CD. Do this by finding the area two ways. (Key Step)Area = hypotenuse * altitude / 2Area = EC * CF / 2EC = 10CF = 21.817hypotenuse = 24altitude = y24*y / 2 = 10 * 21.817 /212 y = 218.17/212y = 109.085y = 109.085/12y = 9.0904

Step Three

Find EDED^2 = 10^2 - y^2ED^2 = 100 - 9.0904^2ED^2 = 100 - 82.6357ED^2 = 17.36sqrt(ED^2) = sqrt(17.36)ED = 4.1671ED = 4.2

Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.

Answers

Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

-2(y-4)=18 PLEASE HELPPPPPPP

Answers

Answer:

y = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

-2(y - 4) = 18

Step 2: Solve for y

[Distributive Property] Distribute -2:                                                                -2y + 8 = 18[Subtraction Property of Equality] Subtract 8 on both sides:                        -2y = 10[Division Property of Equality] Divide -2 on both sides:                                y = -5

Solve y = x + 6 for x.
Ox = y + 6
Ox= -y + 6
O x = y - 6
Ox= -y-6

Answers

Answer:

x = y - 6

Step-by-step explanation:

y = x + 6 (Given)

y - 6 = x (Subtracted 6 on both sides)

find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm​

Answers

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism.

Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.

[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]

[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]

[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

432 cubic centimeters

Volume of a rectangular prism is
Length x width x height

9 x 6 x 8 = 432

Volume is measured in cubic centimeters, in this case.
Hope this helps!

​$6300 is​ invested, part of it at 11​% and part of it at 6​%. For a certain​ year, the total yield is ​$533.00. How much was invested at each​ rate?
$___ was invested at 11%

Answers

Answer:

Invested at 11% : 3100

Invested at 6% : 3200

Step-by-step explanation:

let x= amount invested at 11%

let y= amount invested at 6%

we can write

Equation 1: x+y=6300

Equation2: .11x+.06y=533

Divide equation 2 by .06 to get

1.8333333x+y=8883.33333333

Subtract equation 2 from equation 1

.8333333x= 2583.33333333

x= 3100

Plug in x= 3100 into equation 1

3100+y= 6300

y= 3200

ered
Christine(C) and two of her friends. Bianca B) and Travis(7), won first place for a marketing case competition. They received an amount of $3,600, however,
they decided to share the prize in the ratio of the amount of time each of them spent on the marketing case. If Christine spent 4 hours, Bianca spent 6 hours.
and Travis spent 8 hours, what would be each person's share of the prize?
f2.00
jon
aC:600.B:1400,T:1300
b. C:600.B:1200.T: 1600
c
C:800.B:1200.T:1600

Answers

Answer: C:800.B:1200.T:1600

Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.

Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p

Someone please help me.​

Answers

Answer:

y=c - w

y=m+p

y=n+2g

y=c/3

y=w/a

y=w×c

y=2c×a

y=a-p

Step-by-step explanation:

crossing the equality sign

- = +

+ = -

× = ÷

÷ = ×

hope this would help

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