Brody invested $2,800 in an account paying an interest rate of 2.7% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $3,560?

Answers

Answer 1

answer-

t≈9

step-by-step: i skipped the question and  got the right answer

Answer 2

The amount will become $3560 after the tenure of 9 years.

What is compound interest?

Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.

Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.

The time period will be calculated as,

[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]

Take log on both sides and solve,

ln(3560 / 2800) = 0.027x t(ln(e)

t = ln(1.27) / 0.027

t = 9 years

Therefore, the amount will become $3560 after the tenure of 9 years.

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Related Questions

solve and receive brain list ​

Answers

Answer:

y=2

x=-1

Step-by-step explanation:

2x-4y=-10

-2x-y=0

Add Together and get:

-5y=-10

y=2

put the 2 in for y in either equation to solve for x

2x-4(2)=-10

2x-8=-10

2x=-2

x=-1

Help me please I don’t understand these please helpp

Answers

its ok! the equation youd need is
90°=2x+x-3
90=3x-3
93=3x
31=x :]

are squares parallelograms

Answers

yes because it has 4 sides

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

Help meee !!! Last question

Answers

Answer:

It'll be 2. Equation 1 will be 4 times larger than equation 2,

exp. 1. 21/3*4

= 7*4

=28

exp 2. 21/3

= 7

Hence, it is four times

Hope it helped

All the best!! ♥

which is longer 3 ft or 2 m

Answers

Answer:

2m is longer

Step-by-step explanation:

A bag contains red marbles, white marbles, and blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. Enter your answers as fractions or decimals rounded to three decimal places.
(a)The probability that the first marble is red and the second is blue.
P(first white and second blue) =
The probability that both are the same color.
P(same color) =

Answers

Answer:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

Step-by-step explanation:

Given (Omitted from the question)

[tex]Red = 7[/tex]

[tex]White = 9[/tex]

[tex]Blue = 5[/tex]

Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]

This is calculated using:

[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]

We used Total - 1 because it is a probability without replacement

So, we have:

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]

[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]

Solving (b) [tex]P(Same)[/tex]

This is calculated as:

[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]

[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]

[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]

[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]

[tex]P(Same) = \frac{20+42+72}{420}[/tex]

[tex]P(Same) = \frac{134}{420}[/tex]

[tex]P(Same) = \frac{67}{210}[/tex]

what is 233 x 234 ???

Answers

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps

A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?

Answers

It's new position is 1121 feet below sea level.

(In this problem u are descending into a negative value so it made sense for me to add for some reason).

Hope this helps and have a good day.

Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.

-R3TR0 Z3R0

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?

A. -1/2

B. 2

C. -2

D. 1/2 ​

Answers

Answer:

Option B

Step-by-step explanation:

Use the slope formula.

[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]

The answer sohuld be B.

Hope this helps.

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such a way that their number doubles every 20 minutes.

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Pls help meeee :))))))

Answers

Answer:

A. 1.80

Step-by-step explanation:

Answer:

A. 1.80

Explanation:

-9(x+3) < 45
solve for x

Answers

It is x>-8 you welcome :)

Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?

Answers

9514 1404 393

Answer:

  $8,775

Step-by-step explanation:

The amount due is given by the formula ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

  A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

CAN SOMEONE PLEASE HELP ME!!!!

Answers

Option 4. x>2 should be an open circle on 2 going right. x<=-2 should be a closed circle on -2 going left. Remember, < equals open circle and <= equals closed circle.

mike can do 126 sit-ups in six minutes. how many sit-ups is that per minute?

Answers

Answer:

21

Step-by-step explanation:

126/6= 21 sit ups per minute

Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled

Answers

Answer:

The cup will be filled 6 times.

Step-by-step explanation:

If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:

(1/4) + (1/4) + (1/4) = 3/4

3/4 = 3/4

The measuring cup will have to be filled 3 times for 1 loaf.

If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)

Hope this helps!!

- Kay :)

Find the circumference and the area plzzz

Answers

Answer:

3.

A) 43.96 cm (Circumference)

B) 153.86 square cm (Area)

4.

A) 62.8 ft (Circumference)

B) 314 square ft (Area)

Step-by-step explanation:

3. Radius 7 cm

7*2=14 (Find the diameter)

14*3.14= 43.96 cm (Circumference)

7*7=49 (Find the square of radius)

49*3.14 = 153.86 square cm (Area)

4. Diameter: 20 ft

20*3.14 = 62.8 ft (Circumference)

20/2=10

10*10=100

100*3.14= 314 square ft (Area)

Solve for x.
a. 2/7(x-4)=2


b. -85x+74=499



c. 3/5x+22=127
help asp

Answers

Answer:

a. X=11  

b. X=-5

c. X=175

You earn 28$ for washing 7 cars. How much do you earn for washing 3 cars?​

Answers

Answer:

$12

Step-by-step explanation:

;)

Answer:

12

Step-by-step explanation:

28 divided by 7 = 4

4 x 3 = 12

15 points!!! Help!! Find x. Round to the nearest tenth

Answers

Answer:

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

16

Step-by-step explanation:

Answer: 16

Reason: bc it just is

6. Stacy has 3 lb of grapes to make 10 bowls of fruit salad. If her recipe calls
for 4 oz of grapes per bowl, will she have enough grapes? How much leftover
does she have, or how much extra is needed?

Answers

Answer:

4.8oz

Step-by-step explanation:

So 1lb=16oz

16x3=48oz

48/10=4.8

Distributing them out she has little over enough for all 10

She will have half pound or 8 oz of grapes leftover.

What is unit conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given, Stacy has 3 lb. of grapes to make 10 bowls of fruit salad.

Since, 1  lb. = 16 oz.

So, Stacy has total grapes = 48 oz.

1 bowl of fruit salad Required = 4 oz. of grapes

Thus,

10 bowl of fruit salad required = 40 oz. of grapes

So, Leftover grapes = 48 -40

Leftover grapes = 8 oz or 1/2 lb.

Therefore, She will have half pound of grapes leftover.

Learn more about unit conversion here:

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What is the measure of angle x?

A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 3x.

10
20
30
40

Answers

Step-by-step explanation:

Right angle=90°

90-30= 3x

3x=60

x=20

What is the product of
4
7
and
1
6
? Use the grid to help you.

A grid divided vertically into sevenths and horizontally into sixths. Each side length is one foot.

Answers

Answer:

C and 2/21

Step-by-step explanation:

i did it

We can write the product of the given fractions as -

{4/7 x 1/6} = 2/21

What is fraction?

A fraction is expressed in the form of {x/y}, where {y ≠ 0}.

Given is to find the product of the fractions -

4/7 and 1/6

We can write the product of the fractions {4/7} and {1/6} as -

{x] = 4/7 x 1/6

{x} = 2/7 x 1/3

{x} = 2/21

Therefore, we can write the product of the given fractions as -

{4/7 x 1/6} = 2/21.

To solve more questions on fractions, visit the link below-

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Am I right or am I wrong ?

Answers

Answer:

7/15

Step-by-step explanation:

Yes you are correct with your answer as you cannot simplify further.

Answer:

Correct

Step-by-step explanation:

7/15 is in simplest form

Select the correct answer,
If x + 10 = 70, what is X?
O A.
40
OB.
50
Ос.
60
OD
70
O E
80
Reset
Next

Answers

It’s 60,
10+60=70
10+40=50
10+50=60
So on so far so your answer is 60

I need to know what are the six trigonometric functions of angle theta

Answers

Answer:

Sine, cosine, tangent, cosecant, secant and cotangent.

I need help on this badly please come with good explanation on how to slove problems like this.​

Answers

Answer:

Step-by-step explanation:

This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4


Here is a list of numbers:
20 8. 6. 11.3. 1572072.73
State the median​

Answers

Answer:

20

Step-by-step explanation:

your middle median is 20  in ascending order it is also 20  *im in year 8 my explenation is bad*

Need help on this please

Answers

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

Subtract 1 3/8 from the sum of 3 3/4 and 5 1/6

Answers

Answer:

[tex] \frac{ - 1448}{192} = \frac{ - 181}{3} = - 60.3[/tex]

hope it's helpful ❤❤❤❤

THANK YOU.

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