8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.​

Answers

Answer 1

Answer:

$2539.47

10.18722679 (make sure you round this)

Step-by-step explanation:

a.)

Equation for compound interest:

[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]

which rounds to

2539.47

b.)

using the same equation we can write

[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]

not sure how to round this, so I'll leave that part up to you


Related Questions

Christian is going to invest $310 and leave it in an account for 20 years. Assuming the interest is compounded daily, what interest rate, to the nearest hundredth of a percent, would be required in order for Christian to end up with $1,000?

Answers

Answer:

r=5.86%

Step-by-step explanation:

Points A, B, C, and D are connected to form square ABCD. If square EFGH is similar to square ABCD, what are the coordinates of G?
A) (4, 4)
B) (4, 5)
C) (5, 4)
D) (5, 5)

Answers

Answer:D

Step-by-step explanation:(5,5)

Answer:

(5,5)

Step-by-step explanation:

Just took the test

Help quick please, look at the photo I attached

Answers

Answer:

A ≈ 5.6

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × PQ × PR × sin P

   = 0.5 × 5.2 × 2.8 × sin50°

   ≈ 5.6 ( to 1 dec. place )

What additional information is needed to show that ABC = DEF by SSS?

Answers

Answer:

D.) AC ≈ DF

Step-by-step explanation:

The SSS (Side-Side-Side) congruence postulate states that 2 triangles will be congruent assuming that all 3 of their sides are congruent.

In this case, we know that:

AB ≈ DECB ≈ FE

So, that's two pairs of congruent sides. We need one more pair of congruent sides to prove SSS congruence. The last two remaining are sides CA and FD!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a nice day fam. Spread The Love!

The answer is the first or last option but I don’t know which one

Answers

Answer:

Third Option

Step-by-step explanation:

The triangles are congruent.

Answer:

the answer is C

Step-by-step explanation:

if you read the story again you will see why

What triangle has an angle greater than 90' and two congruent sides?
isosceles right triangle
O acute scalene triangle
O equilateral triangle
o obtuse isosceles triangle​

Answers

Answer:

An obtuse isosceles triangle

Step-by-step explanation:

Obtuse triangles always have one large angle that is bigger than 90 degrees and two smaller angles.

An isosceles triangle always has two sides that are the same length.

Answer:

obtuse isosceles triangle

Step-by-step explanation:

trust me bro

Please find x and y!!!!!! URGENT! Bots taken down

Answers

Answer:

x = 11, y = 22

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{11\sqrt{3} }{x}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by x )

11[tex]\sqrt{3}[/tex]  = x × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

11 = x

Using Pythagoras' identity in the right triangle

y² = x² + (11[tex]\sqrt{3}[/tex] )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )

y = [tex]\sqrt{484}[/tex] = 22

The Johnson family is preparing to vacation at a famous amusement park. The park offers a family ticket discount package for an unlimited number of
rides and will charge an entry fee for each person in the family. The equation below represents the cost per person, C(x), as a function of the number of
people in the family, X.
C (x)= 160/x + 7.5
If each person in the Johnson family paid $27.50, how many people were in the family?
12 people
5 people
14 people
8 people

Answers

Answer:

12 People!!!

I repeat the answer is:

12 People!!!

57 divided by 592,346

Answers

Answer:

9.62 x 10⁻⁵

Step-by-step explanation:

57 / 592346 = 0.0000962275

Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵

9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275

How to: Divide the first expression by the second expression.

Have a great day and stay safe ! srry if im wrong

Find the surface area of the regular pyramid.
PLS HELP ME

Answers

Answer:

The surface area equals 45.

I’m not sure I will ask my sister

What is the shape of the cross section of the triangular prism in each situation? Drag and drop the answer into the box to match each situation.​

Answers

Answer:

immma send you the link friend me on here

Step-by-step explanation:

Please factor using the x method



( please do not answer if you don't know how to do it )

Answers

Answer:

[tex]2(x - 5) ( 9x - 2)[/tex]

Step-by-step explanation:

((2•3^2x^2) -  94x) +  20

Pull like factors :

  18x^2 - 94x + 20  =   2 • (9x^2 - 47x + 10)

Factor

 9x^2 - 47x + 10

The first term is,  9x^2  its coefficient is  9.

The middle term is,  -47x  its coefficient is  -47.

The last term, "the constant", is  +10

Step-1: Multiply the coefficient of the first term by the constant   9 • 10 = 90

Step-2: Find two factors of  90  whose sum equals the coefficient of the middle term, which is   -47.

     -90    +    -1    =    -91

     -45    +    -2    =    -47

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  -2

                    9x^2 - 45x - 2x - 10

Step-4: Add up the first 2 terms, pulling out like factors :

                   9x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-5)

Step-5: Add up the four terms of step 4 :

                   (9x-2)  •  (x-5)

            Which is the desired factorization

thus the answer is

[tex]2(x - 5) ( 9x - 2)[/tex]

Answer:

Solution given:

18x²-94x+20

taking common

2(9x²-47x+10)

doing middle term factorization

90=45*2

2(9x²-45x-2x+10)

2(9x(x-5)-2(x-5))

2(9x-2)(x-5)

2(x-5)(9x-2)

Last one is a required answer.

PLEASE HELP

Based on data taken from airline fares and distances flown, it is determined that the equation of the least-squares regression line is ŷ = 102.50 + 0.65x, where ŷ is the predicted fare and x is the distance, in miles. One of the flights was 500 miles and its residual was 115.00.


What was the fare for this flight?


102.50

312.50

427.50

542.50

Answers

Answer:

542.50

Step-by-step explanation:

Given:

Least square regression equation :

y = 102.50 + 0.65x + residual

y = predicted fare

x = distance in miles

Intercept = 102.50

Slope = 0.65

Distance in miles, x = 500 miles

y = 102.50 + 0.65(500) + 115

y = 102.50 + 325 + 115

y = 427.5 + 115

y = 542.50

Answer:

Don't know why everyone downvoted the first answer. Maybe you guys suck at clicking. It's correct.

Your answer is 542.50 (D)

102.50 + 65(500) = 427.5

427.5 + 115 = 542.50

You add the residue.

ED2021

A school library had 66,500 books. 8,947 books were issued to the students
And 4033 books for the teachers. How many books are still in the library?

Answers

Answer:

53520

Step-by-step explanation:

Books left =total books -books included student

books left =66500-8947-4033

i.e.53580

Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge. How many more pints of cream will they need for the pasta?

Answers

Answer:

Total pints of cream will they need for the pasta = 7 pints

Step-by-step explanation:

Given - Pasta Place needs to make pasta with garlic cream sauce for 80 guests at a party. One batch of pasta calls for 3 cups of cream and feeds 10 people. The restaurant already has 5 pints of cream in the fridge.

To find - How many more pints of cream will they need for the pasta?

Solution -

10 people = 3 cups of cream

⇒80 people = 8×3 = 24 cups of cream

Now,

We know that,

1 cup = 0.5 pints

⇒24 cup = 24×0.5 = 12 pints.

Now,

Given that, The restaurant already has 5 pints of cream in the fridge.

So,

Total pints more needed = 12 - 5 = 7 pints.

∴ we get

Total pints of cream will they need for the pasta = 7 pints

Elapsed time 2 hr 37 min, end time: 1:15. start time?

Answers

Answer:

10:38

Step-by-step explanation:

2 hours back from 1:15

11:15

37 minutes back from 11:15

10:38

The start time is 10:38.

Answer:

10:38 am

Step-by-step explanation:

You can use a number line or clock to find the start time

x = 0:15 min - 0:37 min x = -0:22 min

y = 60 min - 22 min y = 38 min

Time = 12:38

1st, subtract the minutes from the end time. If the value is negative, it means that the time goes back into the previous hour.

Subtract from 60 minutes. Time after going back 37 minutes.

Next, subtract the hours from the time. 11:38 am 10:38 am and 10:38

Next, subtract the hours from the time. Going back 1 hour. Going back 2 hour.

Start time is 10:38

A pound of ground beef costs $5. At this rate, what is the cost of 1/2 pound?

Answers

Answer:

$2.50

Step-by-step explanation:

5 x 1/2 =

5/2 =

2 1/2

each half is .50

Answer:

2.5$ ( 2 Dollars And 50 Cents )

Step-by-step explanation:

Since your dividing the amount of beef by 2 , you also have divide the cost by 2 . 5$ divided by 2 is 2.5$ .

hey! i’ll give brainliest please help!

Answers

the answer is 20 provinces

Answer:

20

Step-by-step explanation:

Under Darius, the Persian Empire flourished. His most notable accomplishment was perfecting the system of government begun by Cyrus. The empire was divided into 20 satrapies, or provinces, each ruled over by a satrap.

Median of 93 87, 81, 80, 78, 95, 83, 81, 76, 74, 88, 86, 85, 76, 60,

Answers

Answer:

The answer is median :81

Step-by-step explanation:

Find the volume of a rectangular prism with base length = 8 ft, base width = 5 ft, and height = 2 ft.
a 15 ft
C. 80 ft
b. 30 ft
d. 132 ft

Answers

Answer:

C. 80 ft

Step-by-step explanation:

Volume=width ×height ×length

5×2×8 = 80

C. 80
Volume= base x width x height

find the coordinates of point p along the direct line segment ST so that SP to PT is 1 to 3. S= (-6,7) and T=(9,25)

Answers

Answer:

Step-by-step explanation:

the answer is 80

plsss helppp brainkeistt reward

Answers

Answer:

1. D

2. B

3. A

4. B

Tim earns $52.50 for 5 hours of dog walking. He earns the same amount
per hour each time he dog walks. How many hours does Tim need to dog
walk to earn $168?

Answers

He needs to walk 16 hours to earn $168 dollars

Find the area of the trapezoid shown below

Answers

Answer:

A=a+b

2h

Step-by-step explanation:

Marking brainliest loll

Answers

Answer:   the second one?[b] brainliest?

Step-by-step explanation:

Answer:

b and brainlist?

Step-by-step explanation:

A surveyor wants to conduct a poll to see how many people purchase records at the mall.

Which polling method is likely to be biased?




Polling 30 random people in the mall each day for 5 days.

Randomly polling 500 people in the mall on one day.

Polling every third person in the food court.

Polling every other person that exits the music and entertainment store.

Answers

Answer:

[tex]\sqrt{7} 2 =x^{8}[/tex]

Step-by-step explanation:

Answer:

the last one since the people in the music and entertainment store are there to only buy records

 

find each missing measure given: m

Help ASAP

Answers

Answer:

28 degrees

Step-by-step explanation:

147 - 119 = 28

Answer:

Step-by-step explanation:

Since we already know that PQR is 147 degrees, we just need to subtract PQR to QR, and you will get, (147 - 119), PQ as 28 degrees!

Solve the inequality for u. 24 ≤ u + 4
Simplify your answer as much as possible.

Answers

the answer is u ≥ 20

The following are house prices in Southern California:

$750,000 , $875,000 ,$800,000 , $700,000 ,$1,000,000 , $1, 160,000 , $1, 180,000

What is the median house price?

A. $700.000

B. $923, 000

C. $1.000.000

D. $875.000

Answers

The answer would be d. $875,000

What is the range of 39,41,5,43,26,7,43,24,41

Answers

Answer:

38

Step-by-step explanation:

The range of a data set is the smallest number subtracted from the largest number.

[tex]39,41,5,43,26,7,43,24,41[/tex]

In this data set, the largest number is 43 and the smallest number is 5.

[tex]43-5=38[/tex]

Therefore, 38 is the range of this data set.

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