Carter invested $16,000 in an account paying an interest rate of 5.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $29,600?

Answers

Answer 1

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.


Related Questions

Finding missing angles
180°
35°
X

Answers

Answer:

90 degree and 55 degree

plz mark me as brainliest

Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75

Answers

Answer:

81 is the mode

Step-by-step explanation:

THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.  

Find the area of the following figure: 11in 10in

Answers

Answer:

(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2

(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2

(with pi rounded to 3.14) = 94.25 in^2

Step-by-step explanation:

Let's start with the easier shape, the triangle. The formula for area of a triangle is 1/2(base)(height). Since at the far right we have 10 in, we can apply that to the triangle to get the base = 10 inches. The height is given as 11 inches so we can then calculate the area which is 55 in^2.

Then, the circle. We know that area of a whole circle = [tex]\pi r^{2}[/tex]. Since we know that a semicircle is 1/2 of a full circle, we can find the area of the entire circle then divide it by 2.

It gives the diameter as 10, divide that by 2 to get the radius. r=5. Plug 5 into the equation of [tex]\pi r^{2}[/tex] and you get 25[tex]\pi[/tex]. Divide that by 2 to get 25[tex]\pi[/tex]/2.

Add the triangle and the semicircle areas.

(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2

(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2

(with pi rounded to 3.14) = 94.25 in^2

A cylinder has a height of 10 centimeters. It's volume is 5306.6 cubic centimeters. What is the radius of the cylinder

Answers

Answer: 13

Step-by-step explanation: r=V

πh=5306.6

π·10≈12.9967

The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

Answers

Answer:

$135

Step-by-step explanation:

I need help with solving this equation.​

Answers

Answer:

66 m².

Step-by-step explanation:

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

Diagonal 1 (d₁) = 11 m

Diagonal 2 (d₂) = 12 m

Area (A) =?

The area of a rhombus when the diagonals are given can be obtained as follow:

A = ½(d₁d₂)

A = ½ × (11 × 12)

A = ½ × 132

A = 66 m²

Thus, the area of the rhombus is 66 m²

Help with translations!

Answers

Given:

The figure of a trapezoid.

The figure is translated down 5 units and then rotated 180 degrees clockwise.

To find:

The coordinates of the image of point W after these transformation.

Solution:

From the given figure it is clear that the coordinates of point W are (-6,3).

The figure is translated down 5 units. So,

[tex](x,y)\to (x,y-5)[/tex]

[tex]W(-6,3)\to W'(-6,3-5)[/tex]

[tex]W(-6,3)\to W'(-6,-2)[/tex]

After that the figure is rotated 180 degrees clockwise.

[tex](x,y)\to (-x,-y)[/tex]

[tex]W'(-6,-2)\to W''(6,2)[/tex]

Therefore, the coordinates of point W after the given transformations are (6,2).

AABC is isosceles.
MZA = 48° and mZB = 4x + 4.
A
B
x= [?]


Answers

11 I hope that is on of your options

Select all numbers that have an absolute value of 4.

Answers

Answer: 4 and -4

Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.

Answer: 4 & -4

Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .

Step-by-step explanation:

What is the volume of the square pyramid

Answers

Answer:

V≈2933.33

Step-by-step explanation:

(explanation in picture)

Please brainliest!

Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line

Answers

He crossed the finish line at 12:49 p.m.

Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?

Answers

Answer:

7/15

Step-by-step explanation:

Probability= Number of even numbers / Total numbers

There are 7 even numbers between 1 and 15

P = 7/15


Factor the expression.
20b + 35 =
(Factor completely.)

Answers

Answer:

I think it would be 5(4b+7)

Step-by-step explanation:

I divided both terms by 5.

15 POINTS
Consider the line in the coordinate plane that passes through the point (-7, -3) and the origin. Find the slope of a line perpendicular to the line described.
A) - 1, 3
B) - 3, 7
C) - 7, 3
D) 3, 7

Answers

Answer:

C. -7/3

Step-by-step explanation:

The slope of the line that passes through points (0, 0) and (-7, -3) is:

m = (y₂ - y₁)/(x₂ - x₁) m = (-3 - 0)/(-7 - 0) = 3/7

Perpendicular lines have opposite-reciprocal slopes:

-1 / (3/7) = - 7/3

Correct choice is C

combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP

Answers

Combine the r’s first:
3r + 2r - 3r = 2r
2s and 5 cannot combine because they don’t have the same variable after the number

Answer: 2r + 5 + 2s

13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?

Answers

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

what is the answer? can someone help me

Answers

Answer:the answer u put is correct

Step-by-step explanation:

PLS ANSWER PLS DUE TODAY

Answers

Answer:

radius of semi circle is 16mm.

diameter of semi circle is 32mm.

perimeter of triangle=sum of all sides.

perimeter of triangle = 20mm+20mm+32mm

perimeter of triangle =72mm

perimeter of semi circle=pi×r

perimeter of semicircle = 3.14×16mm

perimeter of semicircle =50.24mm

perimeter of the figure= 72mm+50.24mm=122.24mm

The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?

Answers

Answer:

The probability that their average salary;

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500  

(77,500 - 75000)/2500

2,500/2500

= 1  

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

Which TWO expressions can be used to represent the tiles shown here?​

Answers

Answer:

4(2a + b)

and

8a + 4b

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

8a+4b

4(2a+b)

hope this helps


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

7 x - 9 + 11 x - 9 = 180

Step-by-step explanation:

For the equation: 7 x - 9 + 11 x - 9 = 180

Value of X is 11

7x - 9 + 11x - 9 = 180

combine values

18x - 18 = 180

18x = 198

18x/18 = 198/18

x = 11

Angle Measures is

7 (11) - 9 = 77-9 = 68 degrees

11 (11) - 9 = 112 degrees

what is the measurements of the circle?​

Answers

Answer:

what is the circle

○ YW 42

The picture isn’t very clear so I’m not sure what is the question but you can find the measure of xw
78+42+xw=180
xw=60

 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

M is midpoint of LP and N is midpoint of MP

Use midpoint formula:

x = (x₁ + x₂)/2

Find x-coordinate of M:

x = (-3 + 9)/2 = 3

Find x-coordinate of N:

x = (3 + 9)/2 = 6

Correct choice is D

What's the slop of the line with the two points 3,2 and 7,9

Answers

Answer and working out attached below. Hope this helps

Name:
L153
Mean Absolute Deviation
Find the mean absolute deviation of each set of data. Round your answer to two decimal
places.
1) 61, 87, 46, 79,53, 46
2) 9, 2, 1, 3
Absolute
Absolute
Data Mean Difference
Data Mean
Value
Difference
Value

Answers

Answer:

amen

Step-by-step explanation:

amen you shall pass

An ice company has y lbs of ice in stock. The company sells 500 lbs of ice and then receives a new shipment of 5x lbs of ice. Which expression represents the
weight of ice the ice company has now?

Answers

Answer:

yes

Step-by-step explanation:

no sabo

Brainliest for correct answer

Answers

D hope this helps xx

A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)

Answers

9514 1404 393

Answer:

  80.38°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...

  tan(α) = 236/40

  α = arctan(236/40) ≈ 80.38°

Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH C

B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv

C) using your equation from b will rosalina have enough money for her new tv in four weeks?

also) how would the equation change if rosalina stopped working wasn't able to deposit $40 and had to instead withdraw $40 a week? Which part of your equation would change?

please help!

THANK YOU!!​

Answers

Answer:

Let M represent the amout at any time.

She saves $40 per week so total amount becomes 40x in any specified week.

where x is the number of weeks.

In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes

M = 40x+500

Simply put number of week in place of x and find the total amount.

Step-by-step explanation:

Answer:

for c it is no

Step-by-step explanation:

it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700

Look at the pattern below. Which fraction would complete the pattern?
1/4, 2/8, ___, 4/12.
answer
A. 3/12
B. 3/14
C. 3/9
D. 3/15​

Answers

The answer is: A. 3/12

Other Questions
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