Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdrawals. Write and solve the equation to find the amount of money in his account after 4 years. Round to the nearest cent.

Answers

Answer 1

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

[tex]A=P(1+r)^n[/tex], where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 ,  r = 3.4% =0.034, n =4

[tex]A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73[/tex]

Hence, the amount of money in his account after 4 years = $7,658.73


Related Questions

b) Find x and y.
x = 10-6

Answers

Answer:

to find y you have to do trigonometry

Mark's average after 9 exams was 60. After 10 exams it had decreased to 50. How many marks did he score in his 10th exam? ​

Answers

Answer:

hey how much mark he scored in 9th exam give proper data or how many subject there

Please help me asap, please! How do I do this?

Answers

Answer:

(3, 6)

1/3

y = -3x +15

Step-by-step explanation:

you do this step by step.

just think what you need. and then you get all of that one after the other.

so, we need the middle point between D and O.

for this we need to know the length of DO.

and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.

so, length of DO.

Pythagoras for the triangle of the differences between the individual coordinates.

DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160

DO = sqrt(16×10) = 4×sqrt(10)

the distance D-middle is half of DO = 2×sqrt(10)

DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²

=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :

(-3 + 6, 4 + 2) = (3, 6)

the slope of DO

the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.

for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.

so, the slope is 4/12 = 1/3.

perpendicular slope of 1/3

we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.

so, the perpendicular slope is -3/1 = -3

the equation of the perpendicular line through the middle point is

y = -3x + c

for c we need to use the coordinates of the middle point (3, 6)

6 = -3×3 + c

6 = -9 + c

c = 15

so our line is

y = -3x + 15

the grid below is made up of squares with sides of 1cm draw a rectangle with an area of 12 cm squared

Answers

Answer:

6 is length and 2 is width.

Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?

Answers

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =

Answers

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers

Answers

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA

Answers

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

(-2,0);(0,7)
A.What is the slope?

B.What is the equation in point-slope form?

Answers

Answer:

A. 7/2      B.y - 0 = 7/2(x + 2)

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - 0 / 0 - (-2)

7 / 2

= 7/2

y - 0 = 7/2(x + 2)

A shipping container is in the shape of a right rectangular prism with a length of 10 feet, a width of 9.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

Step-by-step explanation:

shipping container is in the shape of a Right rectangular prism with the length of the 12 feet away the 8.5 feet and the height of 4 feet. The container is completely filled with contents that weigh on average 0.25 pounds per cubic foot what is the weight in pounds of the contents in the container

Right rectangular prism is a cuboid

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Content Density = 0.25 pounds per cubic foot

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Which of the following is a point-slope equation for a line with the point (-2, 4) and a slope of 3? O A. y - 4 = 3(x+2) B. y - 2 = 3(x-4) C. y + 2 = 3(x-4) O D. y - 4 = 3(x - 2)​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]A)\text{ } y-4=3(x+2)[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answers

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

anyone know the answer?

Answers

Answer is 4 so C for you. I just did this with my brother! Hope this helped.
Answer: 4

Explanation: simply using texas calculator!

straight line graphs

Answers

Answer:

I don't get it what is the question ❓

The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant

Answers

Answer:

a is the answer because I just did that question and got 100 percent.

Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?

Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.

Answers

Answer:

B

Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got a 100%

Please help me with this

Answers

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles


When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.

Answers

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

help ASAP Please show working​

Answers

(a) [tex]a+b-c\\-2+-3-4\\-5-4\\-9[/tex]

(b) [tex]b+c^3\\-3+4^3\\-3+64\\61[/tex]

(c)[tex]\frac{3b^2-c^2+a^2}{-3abc} \\\frac{3(-3)^2-(4)^2+(-2)^2}{-3(-2)(-3)(4)} \\\frac{3(9)-16+4}{6(-3)(4)} \\\frac{27-16+4}{-18(4)} \\\frac{11+4}{-72} \\\frac{15}{-72} \\-\frac{5}{24}[/tex]

Answer:

The answer to (A) is -9.

The answer to (B) is 61.

The answer to (C) is [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Step-by-step explanation:

For problem (A), which is [tex]a+b-c[/tex], in order to solve for this problem, plug in the information given from the question. The problem will look like [tex](-2)+(-3)-(4)[/tex]. Solve the problem by first adding (-2) + (-3), which equals (-5), and then, solve for (-5) -(4), which equals -9. The final answer for problem (A) will be -9.

For problem (B), which is [tex]b+c^{3}[/tex], start by plugging in the information given from the question. The problem will look like [tex](-3)+(4)^{3}[/tex]. Solve the problem by cubing 4, which equals 64, and then, solve for (-3)+(64), which equals 61. The final answer for problem (B) will be 61.

For problem (C), which is [tex]\frac{3b^{2}-c^{2}+a^{2} }{-3abc}[/tex],  start by plugging in the information given from the question. The problem will look like [tex]\frac{3(-3)^{2}-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Solve the problem by first simplifying the numerator.

To simplify the numerator, raise -3 to the power of 2, which will equal 9, and multiplying 3 by 9, which will look like [tex]\frac{27-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Next, raise 4 to the power of 2, which equals 16, and multiply -1 by 16, which will look like [tex]\frac{27-16+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. The next step is to raise -2 to the power of 2, which will look like [tex]\frac{27-16+4 }{-3(-2)(-3)(4)}[/tex]. Then, subtract 16 from 27, which equals 11, and add (11) + (4), which equals 15. The numerator equals 15.

Next, simplify the denominator. First, multiply -3 by -2, which equals 6, and the problem will look like [tex]\frac{27-16+4 }{6(-3)(4)}[/tex]. Then, multiply 6 by -3, which equals -18, and the problem will look like [tex]\frac{27-16+4 }{-18(4)}[/tex]. The next step is to multiply -18 by 4, which equals -72, and the denominator will equal -72.

Then, reduce the expression by cancelling the common factor, and the common factor is 3. The final answer will be [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

I think the answer is the first option.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

What is the slope that passes through the points (-8, -7) and (-5, 2)?​

Answers

Answer:

3

Step-by-step explanation:

The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,  

y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!

Answer:

3

Step-by-step explanation:

To find the slope given two points, we use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 2 - -7)/(-5 - -8)

   = (2+7)/( -5+8)

  9/3

  3

Find the product.
(5)(1)
(67)
5/13
5/6
5/42
42/5

Answers

Answer:

1: 5

2: 67

3: 65

4:  30

5: 210

6: 210

Step-by-step explanation:

Si Marcia dispone de $ 75.000 y gasta los "dos tercios" de dicha cantidad, ¿con cuánto dinero queda Marcia.?

1. 50.000

2. 15.000

3. 20.000

4. 25.000

5. 30.000​

Answers

Answer:

25.000

Step-by-step explanation:

75.000(2/3) = 50.000

75.000-50.000= 25.000

How do I solve this?

Answers

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

Please help will give brainliest

Answers

Answer:

-2

Step-by-step explanation:

(fxg)(0)

= f(0) x g(0)

since f(0) = -1 and g(0) = 2

so (fxg)(0) = -2

1. Tyler's hourly salary is $14. If Tyler works
hours a day, then how much will be earned in a
day?

Answers

Answer:

????

Step-by-step explanation:

The number of hours he works is missing???

How many in five days?

Answers

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Plsss help I will give brainliest

Answers

The correct answer is A. Grade 7
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal

HOLY CHICKIE NUGGIES WHAT IS THIS?!?!? I AM CONFUSION??
PLEASE HELP ASAP THIS IS A TIMED QUESTION!!!!

Answers

Answer:

Ok!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I honeslty don't know any of this but it is probably comparing parrallel lines.

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