Desmond opened a savings account and deposited $600.00 as principal. The account earns
6% interest, compounded annually. What is the balance after 6 years?
Use the formula A = P(1+r/n)^nt
where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer 1

Answer:

$826.28

Step-by-step explanation:

Given:

[tex]P = 600[/tex]

[tex]r = 6% or 0.06[/tex]% or [tex]0.06[/tex]

[tex]t = 6[/tex]

Work:

[tex]A=Pe^{rt}[/tex]

[tex]A=600e^{0.06*6}[/tex]

[tex]A=600e^{0.36}[/tex]

[tex]A=826.28[/tex]

Therefore, the balance after 6 year is 826.28.


Related Questions

Which 3 lengths would in fact make a right triangle?

Answers

4, 3 , 7

How Can It Be Said That 3 Lengths Would Make A Right Triangle?

To see if your three sides will form a triangle, add the two short sides and compare with the long side. If the two short sides are longer than the long side you have a triangle.

What is a Right Triangle?

A right triangle is a triangle with one 90-degree angle.

!PLEASE HELP!
Find the length of the missing side. Round your answer to the nearest tenth.

A) 2.4
B) 4.6
C) 5.4
D) 3.7

Answers

[tex]\bold{ANSWER:}[/tex]
C) 5.4

[tex]\bold{SOLUTION:}[/tex]

Which side lengths form a right triangle?
(A) 1, 2, 3
(B) 5, 6, 7
(C) 3, 4, 5
(D) 4, 5, 6

Answers

b because 5,6,7 would form a right triangle

can someone help me figure out how to solve this without a protractor or anything if possible? I have issues with focusing and i cant figure out the easiest way without a protractor; if it's even possible.

Answers

Answer:

C. Equilateral

Step-by-step explanation:

Every pair has equal angle

Answer:

A

Step-by-step explanation:

BECAUSE IT IS KIND OF ANGEL

Help this is due today-

Answers

[tex] \bold{ \underline{Solution }}[/tex]

[tex] \bold{ \underline{ \underline{Given}}}[/tex]

y = 9 feet

[tex] \bold{to \: find}[/tex]

Volume of cube

[tex] \bold {\underline{lets \: begin}}[/tex]

[tex]y \: = 9 \: feet \: [/tex]

Volume of cube= (S)³

[tex] \sqrt[3]{9} \: = \sqrt[3]{9 \times 9 \times 9} \\ \\ \sqrt[3]{9} = 729[/tex]

so,, 729 is our final answer

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

if a number is multiplied by itself 3 then the obtained number is called cube of given number. x × x × x = x³ Thursday cube of a number is that number raised to power 3.volume of cube is side cube.

Hey there!

Your formula: a * a * a or you could simply say a^3


Your equation;

9^3

= 9 * 9 * 9

= 81 * 9

= 729


Therefore, your answer should be:

729


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12

Answers

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

A party favor is made up of four equal solids and is constructed from paper. each of the four solids is open at the end. the net represents one of the solids. a net of a solid has a square base with side lengths of 2 inches, and 4 triangular sides with a height of 3 inches. b is the base, and c, d, and a are the triangular sides. how much paper is needed to make a party favor? to calculate the surface area, you would exclude the area of face . one of the four pyramids has a surface area of in.2. one party favor, which consists of four of the equal solids, has a surface area of in.2.

Answers

The surface area of the solid is 4 + 6b

How to determine the area of the solid?

The solid consist of the following shapes:

1 square of length 2 inches4 triangles of height 3 inches and base b

The area of the solid is:

Area = Area of square + 4 * area of triangle

This gives

Area = 2 * 2 + 4 * 0.5 * 3 * b

Evaluate

Area = 4 + 6b

Hence, the surface area of the solid is 4 + 6b

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Here are some of the numbers that were picked out of the bag at bingo evening:

20 32 95 16 18 31 24 17

36. Which of these numbers is a square number?
37-38. Which of these numbers are prime numbers?

Answers

16 is a square number. 4x4=16.
31 and 17 are prime numbers because only 1 and that number can be multiplied to create that number.

25. Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not
drawn to scale.
12 cm
6 cm
45
2 cm
084 cm²
96 cm²
72 cm²
108 cm²

Answers

The area of a the trapezoid given in the diagram is calculated as: B. 96 cm².

What is the Area of a Trapezoid?

Area of trapezoid = 1/2(a + b)h

Given the following:

a = 12 cmb = 12 + 2 + (6/tan 45) = 20 cmh = 6 cm

Area of the trapezoid = 1/2(12 + 20)6

Area of the trapezoid = 96 cm²

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8x+5y=16 8x+10y=56 what strategy could you apply to use the linear combination method to solve the system?


Answers

Answer:

elimination

Step-by-step explanation:

Please help me mi amor !!! I really need help

Answers

Step-by-step explanation:

it is really simple.

first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).

and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.

so,

angle 3 = 37°

that means

angle 1 = 37° too

angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).

angle 2 = 180 - 37 = 143°

and angle 4 = 143° too

Find the area of the triangle repost because no one answered last time

Answers

Check the picture below.

bear in mind that for a triangle, the height or "altitude" is the perpendicular distance from the top of the triangle to the base.

9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Answer:

$18019.37

Step-by-step explanation:

[tex]A = 12,385(1 + \frac{0.075}{365})^{365(5)}\\[/tex]

≈ $18019.37

Kevin correctly answered 75% of 32 test questions. How many more questions would Kevin have to answer correctly to get more than 80% correct?

Answers

Answer:

2

Step-by-step explanation:

0.75*32=24 is 75% of 32

0.8*32=25.6 is 80% of 32

you need to round to 26 as you cant get .6 of a mark

26-24=2

Given that the statements

A
B
C


D
E
F
and

D
E
F


J
K
L
are true, which statement is a valid conclusion?

Answers

Answer:

it is triangle DEF, base on my own understanding

Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!

Answers

Answer:

5x+2y=3 3x-2y=5

7xy=3 xy=5

7xy+xy=3+5

6xy=8

Step-by-step explanation:

it's are the answers

The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.

Answers

Answer:

see the attachment.

Answer:

C, -1.5

Step-by-step explanation:

edge

Tom is making a rolling pin like the one shown out of maple hardwood.
The handles are 4-inch long cylinders with a diameter of 1 inch. The main body of the rolling pin has a diameter of 3 inches and is 14 inches
long. What is the total amount of wood needed to build the rolling pin? Round to the nearest tenth.
in³

Answers

Answer:

Step-by-step explanation:

can you give me the answer please? I have the same question

What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º

Answers

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

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0.78 / 10^6

please someone answer I need this answer soon

Answers

Answer:

0.00000078 is the answer to the question

Which of the following is a closed statement?

A) yis not an odd number .

B) z is a positive number

D) x is an odd number .

D) 30 is an odd number .

Answers

Answer:

30 is an odd number

Step-by-step explanation:

hope it help

Question:

Which of the following is a closed statement?

Answer:

D) 30 is an odd number .

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Does anybody know this? Need it done soon. Find the surface area. Use 3.14 for pi. Do not round your answer

Answers

Answer:

113.04 yd²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is:

2πrh+2πr² r = radius, h=height

The radius of this cylinder is 2, so you replace the 'r' with '2.' The height is 7 yd, so you replace the 'h' with '7.' Use 3.14 for π.

2πrh+2πr²

2(3.14)(2)(7) + 2(3.14)(2)^2

= 113.04 yd²

Please I'm serious no time for nonsense

Draw (3) Convex Polygons & (3) Non- polygons .​

Answers

Answer & step-by-step explanation:

Convex: Triangle, Square, Pentagon. (Has to be equal sided and angled)

Non-Convex: Draw a weird shape, such as a deformed star, a 5 sided shape with no equal sides, such as these listed below:

Convex polygons have vertices that all point outwards.
They do not need equal sides or symmetry but all regular polygons are convex.
The interior angles all need to be less than 180 degrees.

Non-convex polygons have one or more vertices pushed inside the shape.
The interior angle at those vertices will be greater than 180 degrees

Will mark brainlist to whoever answers first
Find the coordinates of the image of J( 8,7 ) after a reflection over the x-axis.

Answers

Answer: A

Step-by-step explanation:

On a reflection through the x-axis, the x-coordinate of the point will not change, but the y-coordinate will be changed with a negative sign.

So, the reflection of the point is: (8, -7)

Therefore, Option(a)(8, -7) is true.

On the map at the right, the public swimming pool can be represented by the point (-6, 5) and Tim’s house can be represented by the point (1, 5). If each unit on the graph represents 0.5 miles, how many miles is Tim’s house from the pool

Answers

The distance between the swimming pool and Tim's house is 3.5 miles.

How to find the distance?

First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.

The distance between the points (-6, 5) and (1, 5) is:

[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]

Now, changing to miles, we get:

d = 7*0.5mi = 3.5mi

So the distance is 3.5 miles

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A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.

Answers

The capacity of the tank is 240 cm³.

What is capacity?

Capacity means the volume of a solid shape.

To calculate the capacity of the tank, we use the formula below.

Note: When the water from the 8 small containers is poured into the tank that was initially half full, becomes 1.4 full that means the water from the 8 small containers fills the tank 0.9

Formula:

V = (8×27)/0.9............... Equation 1

Where:

V = Volume or capacity of the tank

Solve for V

V = 240 cm³.

Hence, the capacity of the tank is 240 cm³.

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What is the mean absolute deviation of 1, 2, 2, 3, 5, 6, 6, 8, 8, 9

Answers

Answer:

5

Step-by-step explanation:

1+2+2+3+5+6+6+8+8+9/10=5

Please help! Giving brainliest!!!!
You deposit $1200 in an account that earns simple interest. After 42 months, the account earns $96.60 in interest. What is the annual interest rate
to the nearest tenth of a percent?
A. 0.8%
O B.2.3%
C.35.0%
D. 1.0%

Answers

Answer:

interest rate= interest earned multiply 100% then divide by the amount and time

R=I/Pt

I=96.60$, P=1200$, t=42/12=3.5

R= 96.60×100%/1200×3.5

=2.3%

please help me I need assistance

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]

Solve 11x 2y 2 + a = b for a

Answers

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

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