Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?

Answers

Answer 1

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Answer 2

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

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

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

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Related Questions

Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?

Answers

Answer:

113 square feet

Step-by-step explanation:

the total area covered can be determined by adding the area of the rectangle, triangle and square together

Area of a square = length² = 8² = 64 ft²

Area of a rectangle = length x width = 7 x 4 = 28 ft²

Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²

64 + 28 + 21 = 113 ft²

What is the expression for k more than 8?

Answers

Answer:

k>8

Step-by-step explanation:

k more than 8 indicates that the value of k is larger than 8. So the inequality sign opens towards k and closes towards 8.

Hope this helps!

Answer:

9 is bigger than 8

Step-by-step explanation:

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps

Answers

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

I would like help on this math problem please!

Answers

Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

What is the value of y when x = 0?

Answers

Answer:

0

Step-by-step explanation:

I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.

0 is the answer bc that was all the info given

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2

Answers

bestie i would say it’s A because you multiply and you don’t have the other surface areas hope this helps <3

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?

Answers

Answer:

13.9

Step-by-step explanation:

13.85 feet far up the side of the house will the ladder reach now.

Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.

What is heights and distances in trigonometry?

In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.

Let the distance between base of house to foot of the ladder be x.

Using Pythagoras theorem 26²=24²+x²

⇒ 676 = 576 + x²

⇒ x² = 100

⇒ x =10 feet

Mila grabs the ladder at its base and pulls it 12 feet farther from the house.

Now, the distance between base of house to foot of the ladder = x+12

= 10+12 = 22 feet.

So, up the side of the house the ladder reach = 24-h

Then, 26² = (24-h)²+22²

⇒ 676 = (24-h)²+484

⇒ (24-h)² = 192

⇒ (24-h) = √192

⇒ (24-h) = 13.85

⇒ h = 24-13.85

⇒ h = 10.15 feet

Therefore, 13.85 feet far up the side of the house will the ladder reach now.

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Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal

Answers

He had $50 before the purchase

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

The table compares the sample characteristics of four countries. Based on the sample characteristics shown in the table, which country MOST LIKELY has the largest percentage of white-collar workers?
Ο Japan
Ο Hong Kong
Ο Taiwan
Ο Singapore

Answers

The correct answer is Taiwan

Answer:

Singapore

Step-by-step explanation:

I did japan and I got it wrong and it told me the right one was Singapore.

Hope this helps!

BRAINLIEST PLEASE!!

FROM: AUG1E

Pelaseee help me I’m stuck on thisss

Answers

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.

What is the balance in Zac's account?

Answers

Is the balance is dee’s account 34% less then AL’s and also don’t trust anyone who tells you to click on a link it’s a virus

When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms

Answers

Answer:

https://www.sketchywebsite.net/

Step-by-step explanation:

What is the degree of 12x^4 -8x+ 4x^2 - 3?

Answers

Answer:

4

Step-by-step explanation:

In this problem, we are asked to determine the degree of the given expression 12X4 - 8X + 4X2 -3. To answer this, first, we need to arrange the mathematical expression in descending order with respect to its power such as the new arrangement will become 12x4 + 4x2 -8x -3. The degree is clearly visible and it is 4. Therefore, the answer to this problem is is 4.

Find the profit or loss if:
Cost price = $19.85 Selling price = $20.20
tell me also wether it’s a profit or loss

Answers

Answer:

It would be a profit  of .35 cents

Step-by-step explanation:

Answer:

it is a profit by 0.35 cents

Step-by-step explanation:

That is becuase it costed you 19.85 so you ost 19.85 and gain 35 cents becuase you are selling it for a higher price

Kevin has $50 and wants to buy some art paper and paints. One pack of art paper cost $12 and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n of tubes of paint that he can buy

Answers

Answer:

26 ≤ 6

Step-by-step explanation:

$50 is the budget

Art paper = $12

Paints = $6

He gets 2 packs of paper making  it $24

$50 - $24 = $26

26 divided by 6 = 4.33333 (he can only get 4)

For some reason this was a little confusing for me so let me know if I helped at all.

Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9

Answers

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10

Answers

Answer:

The interquartile range is 5

what is 15/9 equivalent to

Answers

Answer:

1 6/9 or 1 2/3

Step-by-step explanation:

Answer: A lot of fractions

Step-by-step explanation:

Some Examples: 5/3, 10/6, 20/12

What is the value of X?

Answers

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

A block of sugar maple wood has a mass of 82.8 g and density of 0.69 ​g/cm3​. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?

Answers

Answer:

6

Step-by-step explanation:

I believe if you fallow the mathematical process of d=m/v you will get 6

The height of the block of the sugar maple from the rectangular prism is 6 cm.

What is the volume of a rectangular prism?

The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:

V = length × width × height

From the parameters given:

mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³

[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]

[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]

volume = 120 cm³

Using the previous equation for calculating the volume of a rectangular prism, we have:

120 cm³ = 5 cm × 4 cm × height

120 cm³ = 20 cm² × height

height = 120 cm³/20 cm²

height = 6 cm

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What is the slope of the line represented by -3x + 5y = 20 ?

Answers

The slope would be 3/5x
3/5 is the right one

Please help ASAP ASAP

Answers

Answer:X=110

Step-by-step explanation:

When you divide 196 by 20 you get 9.8 so when you divide 1078 by 9.8 you get 110

I think that the answer is 110=x

3⋅2^x/5=150 Which of the following is the solution of the equation?

Answers

Answer:

x=7.965784

Step-by-step explanation:

x = 7.97 (rounded to the nearest hundredth)

A textbook store sold a combined total of 447 sociology and psychology textbooks in a week. The number of psychology textbooks sold were 43 less than the number of sociology textbooks sold. How many textbooks of each type were sold

Answers

Answer:

404

Step-by-step explanation:

6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

A. 80 hours

B. 900 hours

C. about 1.78 hours

D. 2.25 hours

Answers

Answer:

C. about 1.78 hours

Step-by-step explanation:

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

...............................................................................................................................................

Answer: about 1.78 hours

...............................................................................................................................................

t = k/r

2 = k/67

k = 134 (which happens to be the distance)

t = 134/r

t = 134/55

t = 2.436 hours

...............................................................................................................................................

The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours

...............................................................................................................................................

t = k/r\

4 hours and 35 miles per hour,

we find that k = 140.

Now use that 140 in another equation to solve for t:

t = 140/45, and

t = 3.1 hours

Light travels at approximately 2.998 x 10^5 kilometers per second. There are 6.048 x 10^5 seconds in one week. About how many kilometers does light travel in one week?
A 1.813 x 10^5


B 1.813 x 10^10


C 1.813 x 10^11


d 1.813 x 10^25

Answers

1813+ 1011 is your answer

Which graph represents the inequality
X > 15?

Answers

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

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The quantities
x
and
y
are proportional.

Answers

Answer:

The quantities x and y are in a proportional relationship.

Step-by-step explanation:

[tex][Hello,BrainlyUser][/tex]

Your question is incomplete but I will try my best to answer <3

Answer/Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  y/x = r

[tex][CloudBreeze][/tex]

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?​

Answers

If I were Karen I’d just take em all and run
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