Damien deposited $250 in an account that earned 3.75% interest compounded annually. He did not make additional deposits or withdrawals. What will be the balance in this account at the end of 4 years? $127.26 $287.50 $289.66 $370.50

Answers

Answer 1

Answer:

$289.66

Step-by-step explanation:

A=P(1+r)^t

P=250

r= .0375

t= 4

A=250(1+.0375)^4

A= 289.66

Answer 2

$ 289.66 will be the balance at the end of the 4 years.

What is compound interest?

One of the most important ideas in finance is compound interest, which means that the interest you earn each year is added to your principal and grows at a growing rate. It serves as the foundation for everything from a personal savings strategy to long-term stock market development. It also takes into consideration the effects of inflation and the relevance of debt repayment.

Given, Damien deposited $250 in an account that earned 3.75% interest compounded yearly. Hence,

principal amount = 250

rate = 3.75%

time period = 4

From compound interest formula  (A) = [tex]P(1 + \frac{r}{n})^{nt}[/tex]

Final amount (A) =  250 ( 1 + 3.75/ 1)^4 = 289.66

Therefore Damien will have 283.66$ at the end of the four years.

Learn more about compound interest here:

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Related Questions

A spinner with 8 equally sized slices has 2 blue slices and 6 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?

Answers

Answer:

0

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8

Required outcome = number of red slices = 0

Probability of stopping on a red slice :

(0 / 8) = 0

HELP ME AS QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The difference in square feet is 75 square feet.

Step-by-step explanation:

Formula for area of a rectangle: Area = length x width

Current measurements: 12 by 10, so

A = 12 x 10 = 120 square feet

New measurements: 15 by 13 (adding 3 feet to each)

A = 15 x 13 = 195 square feet

Subtract to find the difference:

195-120 = 75

Please let me know if you have questions.

11. Selvin owns x shoes. Trey has y shoes. The
number of shoes Selvin owns is 1 less than 2 times
the number Trey owns. Together they have a total of
11 pairs of shoes. How many shoes does Selvin and
Trey have each?

Answers

selvin in has 7 shoes and trey has 4 shoes

what is the surface area of the image shown

6 in.
3 in.
5 in.​

Answers

Answer:

126.0000

Step-by-step explanation:

15. A TV is listed as being 40 inches. This distance is the diagonal across
the screen. We know that the TV is a rectangle (two right triangles). If the
screen measures 24 inches in height and 32 inches in length, is the
diagonal exactly 40 inches? *

Answers

Answer:

Its just a tv

Step-by-step explanation:

solve this question plz 3 / 2 root 3

Answers

The answer is square root 3/2 which is 0.87

Answer:

Step-by-step explanation:

Actually, you are to put this expression into standard form, with no radical in the denominator.  There's no equation here, just an expression.

3/(2√3) is to be multiplied by √3 to remove the radical from the denominator:

 3        √3        3√3           √3      

------- * ------ = ------------- = -------

2√3      √3           6             2

You owe the bank $2.50. You plan to
pay your debt at the end of the week.
You deposit $1.12 three separate times
during the week. How much did your
bank account change by the end of the
week?

Answers

Answer:

3.36

Explanation:

1.12x3=3.36

I hope it's helpful

what’s the answer?
Hehdbdjnedhbddh

Answers

Don’t do the link it’s a virus

The area of the octagon is how many meters squared?
Show your work.

Answers

it’s 18 have a amazing day?????? yeah hah spring break

Please need help will mark brainliest find the coordinates of y and x intercept in three order

Answers

the x intercept is (-7,0)
the y intercept is (0,-7)

100 POINTS!!! Given f(x) = [tex]x^2[/tex] - 6x + 8 and g(x) using a table of values. Show your work.

Answers

Answer:

X^2-6x+8 -X+2=0

X^2-7x+10=0

(X-5)(X-2)=0

Answer X= 5 and X=2

Step-by-step explanation:

HELP PLEASE


are these independant or dependant

Answers

those are the dependent types

Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X

Answers

Answer:

Answer:

x = (4√3)/3 units

Step-by-step explanation:

Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.

Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,

x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units

Hope it helped and believing you understood it........All the

Step-by-step explanation:

0.75 is 0.24% of what number? Express your answer as a decimal.​

Answers

Answer:

0.18

Step-by-step explanation:

24% × 0.75 =

(24 ÷ 100) × 0.75 =

(24 × 0.75) ÷ 100 =

18 ÷ 100 =

0.18

brainliest please?

hey please help me with this ty

Answers

Answer:

3d

Step-by-step explanation:

3 miles per day

if he runs for two days he runs 6 miles 3(2)

etc etc

(1 point) Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x^3,y=4x

Answers

Answer:

(1664π)/7

Step-by-step explanation:

We first need to know the points of intersection of the two functions, y = x³ and y = 4x.

To do this, we equate both functions

x³ = 4x

x³– 4x = 0

x(x² – 4) = 0

x(x – 2)(x + 2) = 0

x = 0, x = 2 and x = –2

Since we are looking for the volume formed by rotating the region inside the FIRST QUADRANT, then the needed points of x are 0 and 2. These are our limits of integration.

The formula for the area of the solid is

[tex] \int\limits^2_0 {\pi (4x)^3} \, dx -\int\limits^2_0 {\pi (x^3)^3} \, dx [/tex]

This gives:

[tex] \int\limits^2_0 {64\pi x^3} \, dx -\int\limits^2_0 {\pi x^6} \, dx [/tex]

On integration, we have

16π(2⁴) – π(2^7)/7

=

256π – 128π/7

= (1792π – 128π)/7

= (1664π)/7

can u help me with this question ​

Answers

Answer:

3. y = -2√(x+3) - 5

Explanation:

reflected across the x-axis: the y is negative (2 eliminated)

vertically stretched by a factor of 2 (they're all stretched by a factor of 2)

translated left 3 units (1 eliminated)

translated down 5 units (4 eliminated)

3 is left which is y = -2√(x+3) - 5

Greatest common factor of 112 and 63

Answers

Answer:

It's 7!

Step-by-step explanation:

Which expression is equivalent to 2(4x + 7)?



6x + 7


6x + 9


8x + 7


8x + 14

Answers

Answer:

C, or D

Step-by-step explanation:

The answer is C, or D

Answer:

8 x + 14

Step-by-step explanation:

2(4x+7)

2×4x +2×7 =

8x+14

A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend line with an equation of y=11x + 12, where y is the total number of retail stores and x is the number of years since 1990. Tracy and her family moved to the city in 2003. Use the equation to predict how many retail stores there were in 2003?

Answers

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

Will mark Brianliest please answer :)

Answers

Answer:

3.5×10^4=35000

Step-by-step explanation:

Consider the value

3.5

we are saying that we are counting in units (1's) in that we have

3

1

2

of 1's

'.....................................................................................

Consider the value

3.5

×

10

. Now we are saying we have

3

1

2

of tens. That is; 3 lots of 10 is 30 and

1

2

of 10 is 5 so we have

30

+

5

=

35

'.................................................................................

Note that

10

2

is 100

Consider the value

3.5

×

10

2

. Now we are saying we have

3

1

2

of

100

'

s

So if we are counting in 100's then the decimal point stays where

it is and we move the number of 3.5 to the left until the

3 becomes hundreds.

Note that we have to insert a place holder of 0 just to the left of the decimal point to make sure the three is viewed as in the hundreds.

3.5

×

10

2

−−−−−−−−−−−−−−−−−−→

slide to the left 2 places

350.0

BRAINLIEST
a. 18
b. 4.5
c. 3 sqrt of 2
d. sqrt of 14
​​

Answers

Answer:

A

Step-by-step explanation:

basically b = square root x times c

b= x

x= 2

c= 2+7 or the full length

Answer:

Step-by-step explanation:

A tower has lost contact with a GPS satellite. The satellite is at 4500 meters over the Earth at a location 2000 meters from the tower. At what angle should the tower point and scan to make contact again? Note the height of the tower is not included. Round answers to the nearest whole degree.The angle of elevation from the top of the tower to the satellite is?

Answers

Answer:

66°

Step-by-step explanation:

It is given that :

Distance of the satellite from the tower = 2000 m

Height of the satellite above the tower = 4500 m

Therefore the angle of elevation can be found out by :

[tex]$\tan \theta = \frac{4500}{2000}$[/tex]

[tex]$\tan \theta = \frac{9}{4}$[/tex]

[tex]$\tan \theta = 2.25$[/tex]

[tex]$\theta = \tan^{-1}(2.25)$[/tex]

  [tex]$= 66 ^\circ$[/tex]

Therefore the tower can make contact with GPS satellite when it pointed at 66° angle.

If you can these questions hElp
I think 7 is B but am not 100% sure

Answers

Answer:

7. Can't see the triangle

8. F

9. D

Step-by-step explanation:

8.  [tex]15*\frac{1}{4} = 3\frac{3}{4}[/tex]      [tex]16*\frac{1}{4} =4[/tex]    

9.  An obtuse angle is any angle bigger than [tex]90^{o}[/tex] (right angle) but smaller than [tex]180^{o}[/tex] (reflex angle)

some questions I have on a test that I need ASAP...
(for 20 points)

1. j + 12 = 25. What is the value of j?

2. k - 16 = 4. what is the value of k?

3. 12 = 8 + c. what is the value of c?

4. r/10 = 4. what is the value of r?

5. 64 = 16u. what is the value of u?

6. 3v = 12. what is the value of v?

Answers

1. 13
2. 20
3. 4
4. 40
5. 4
6. 4

Answer:

J+12=25  J=25-12

J=13

K-16=4 K=4+16

K=20

C+8=12 C=12-8

C=4

R / 10 =4 R =4 x 10

R=40

64=16 x U. U= 64 / 16

U=4

3 x v = 12  V = 12 / 3

V= 4

Step-by-step explanation:

J=13

K=20

C=4

R=40

U=4

V= 4

5/6 of what number
= 35

Answers

Answer:

42

Step-by-step explanation:

In order to find the answer to this question, I had to multiply 35 times 6/5.

35x6/5=42

You can check to make sure your answer is right by doing: 42x5/6=35.

You just have to multiply the number that we are using by the reciprocal of the fraction.

For instance: 2/3 of what number is 32

32x3/2= 48

48x2/3=32

The requried number is 42, where 5/6 of 42 is 35.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Let the number be x,
According to the question,
5 / 6 x = 35
x = 35 × 6 / 5
x = 7 × 6
x = 42

Thus, the requried number is 42, where 5/6 of 42 is 35.

Learn more about fractions here:
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Find the solution: Mrs. Simms is planning a garden. IT will be 27 feet long and 18 feet wide. What will be the area of the garden?​

Answers

Answer:

486 feet squared

Step-by-step explanation:

While completing a race, Ned spent 63 minutes walking. If the
ratio of time walking to jogging was 9:1, how many minutes
did he spend completing the race?

Answers

Answer:

therefore ned spent 1 hour and 10 minutes completing the race.

A cylinder has a base diameter of 16 m in a height of 14 m. What is its volume in cubic meters to the nearest tenths place?

Answers

Answer:

896pi

Step-by-step explanation:

pi(8)^2(14)

plz plz plz help plz :( i only need 4

Answers

For Pitch Trax question, I'd say pitchers

For the def of technology, science of problem solving

For the automoblies and jets, answer should be trains.

For the last question, I think the answer you had is right.

I'm so sorry if anything of these are wrong.

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