What amount to the nearest cent will an account have after 6 years is $175 is invested at 8% interest compounded continuously

Answers

Answer 1

Answer:

$281.02

Step-by-step explanation:

P=$175

r=8%=0.08

t=6 years

n=12

A=p(1+r/n)^nt

=175(1+0.08/12)^12×6

=175(1+0.0066)^72

=175(1.0066)^72

=175(1.6058)

=$281.015

Approximately $281.02


Related Questions

match the type of graph with its description

Answers

Answer:u tell me doc

Step-by-step explanation:

(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...

Answers

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

Factorise this expression as fully as possible
4x^2+x^3

Answers

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

What is 1/3 of 60% as a fraction

Answers

60% *0.01 = 0.6

1/3*0.6=0.2=2/10=1/5

Answer:

1/5

The fraction is 1/5.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

60%

= 60/100

= 6/10

= 3/5

Now,

1/3 of 60%

= 1/3 x 3/5

= 1/5

Thus,

The fraction is 1/5.

Learn more about fractions here:

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Help please!!!!
What is answer? Between which two consecutive whole numbers is the square root of 200.?

Answers

Answer:17.32

Step-by-step explanation:

A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.

Answers

583.2 students will enjoy the day! You have to cross multiply so the 3x972=5xE which then equals 2916=5E which equals the answer

8 − (−11) = ? ..................................................................................................................

Answers

Answer:

+19

Step-by-step explanation:

8-(-11)= 8+11

8-(-11)=+19

Answer:

19

Step-by-step explanation:

8 - ( -11) =

8 + 11 =

19

The two negatives combine to make a positive.

Please answer asap. Find the volume.

Answers

Answer:

5cm³

Step-by-step explanation:

Volume of rectangular prism formula= L×W×H

1/2×4×5/2=

2×5/2=

10/2=

5cm³

Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?

Answers

Answer:55.7 would be the answer.

Step-by-step explanation:

Answer:

the answer is 55.7

Step-by-step explanation:

because i got it right on edge 2021

Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle of depression from her eyes to the bottom of the post is 35o . How tall is the lamppost?

Answers

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?

Answers

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?

Answers

The volume of the cone = 188.5 cm3

“And I do appreciate you being ‘round”

Answers

Answer:

LMJ and NMO

Step-by-step explanation:

Think of it as an X, top and bottom are vertical, and so are both sides together.

Answer:

LKJ and NMO

Step-by-step explanation:

Vertical angles are formed from the same lines and are opposite each other

LKJ and NMO are formed from the same lines and are opposite each other

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?

Answers

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Paint costs $12 per litre and can only be purchased in a full number of litres. One litre of paint covers an area of 10m2. A rectangular wall is 6.5 long and 3m high and needs two coats of paint. What will be the cost of paint for the wall?

Answers

Answer:

$48

Step-by-step explanation:

The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.

First, we find the area of the wall. The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the wall is:

[tex]A = 6.5 * 3 = 19.5 m^2[/tex]

One litre of paint covers an area of [tex]10m^2[/tex].

The paint can only be purchased in a full number of litres.

Therefore, let us find how many litres it will take to paint the wall once:

[tex]10m^2[/tex] = 1 litre

[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres

Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.

2 litres is needed to paint the wall once.

Therefore, we need double of that to paint the wall twice, that is:

2 * 2 = 4 litres

Paint costs $12 per litre, therefore, the price for 4 litres is:

4 * 12 = $48

The cost of paint for the wall is $48.

Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4

Answers

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

           = 7^(8)

(7x7)(7x7)(7x7)(7x7)

can help for this questing

1) 2)

Answers

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

Elsie starts a food blog. In the first month, there are 46 new subscribers. Each month after that, the number of new subscribers
increases by 15 more than the number of new subscribers in the previous month. At this rate, what will be the total number of
subscribers after 8 months?

788

394

151

848

Answers

Answer:C 151

Step-by-step explanation:

7 * 15=105 + 46=151

Answer: 788

Step-by-step explanation:

Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od​

Answers

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm

Answers

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

What is rectangular prism?

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

What is the volume of rectangular prism?

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2[tex]cm^{3}[/tex]

Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

To know more about rectangular prism here :

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A door sign has a length of 7 inches and an area of 25 square inches. Use the numbers and symbols shown to the right to choose an equation that can be used to find the unknown width (w). Choose all that apply. Then solve.

Answers

Answer:

The equation is [tex]25=7w[/tex]The width is 3.6 inches, approximately.

Step-by-step explanation:

Givens

The length of the door sign is 7 inches.Its area is 25 square inches.

We know that the area of a rectangle is

[tex]A= w \times l[/tex]

Where [tex]w[/tex] is width and [tex]l[/tex] is length.

We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have

[tex]25=7w[/tex] (this is the equation used to solve the problem).

[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]

Answer:

The equation is Area = length × width.

The width is approximately 3.57 inches.

Step-by-step explanation:

Door sign length, l = 7 inches

Area, A = 25 square inches

Width (w) is unknow.

Since the area is the product of the length and the width,

A = l×w

25 = 7×w

Dividing both sides by 7

w = 25/7

≈ 3.57 inches

Need help someone help !

Answers

Answer:

A = 2x^2 + 2x - 12

Step-by-step explanation:

A = (2x-4)(x+3)

(use FOIL to solve)

A = 2x^2 + 2x - 12

The distance d (in feet) that it
takes a car to come to a complete stop can be modeled
by d = 0.05s^2 + 2.2s, where s is the speed of the car
(in miles per hour). A car has 168 feet to come to a
complete stop. Find the maximum speed at which the
car can travel.

Answers

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A. 18 bags B. 28 bags C. 32 bags D. 36 bags

Answers

Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]

There will be 32 small bags of 3/4 kg.

The correct option is C.

Four bags of peaches weigh 5.6 pounds, 3.9 pounds, 4.9 pounds, and 6.2 pounds.
What is the median weight of the bags?

Answers

The answer is 5.25

First, you need to list all of the numbers from least to greatest. Then, you remove the sides (first 3.9 and 6.2 being the least and the greatest numbers). You then have 4.9 and 5.6 so you need to add them together (getting 10.6) and divide your answer by 2 (getting 5.25).

Hope I helped and good luck :)

what is the independent value

Answers

Independent variable – the variable that is altered during a scientific experiment.

Dependent variable – the variable being tested or measured during a scientific experiment.

Controlled variable – a variable that is kept the same during a scientific experiment.

What is a set of ordered pairs

Answers

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:


Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.​

Answers

Answer:

whar state ment

Step-by-step explanation:

Round to nearest hundreth

Answers

The answer is 44.42°

Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a gallon of oil next March? Round your answer to the nearest hundredth.

Answers

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1

The price of oil in March will be $11.10 per gallon.

Answer: 50% of 1.85= 11.10

Step-by-step explanation:

11.10 is the correct answer

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