Robert is going to invest $640 and leave it in an account for 20 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest hundredth of a percent, would be required in order for Robert to end up with $1,280?

Answers

Answer 1

Answer:

The answer is: 3.48%

Step-by-step explanation:

Answer :

R = 3.48%

interset rate

Answer 2
Answer:

3.48%

Step-by-step explanation:

1280=640×(1-(r/4))^(4×20)
1280/640=(1-(r/4))^(80)
2=(1-(r/4))^(80)
2=(1-(r/4))^(80)
2^(1/80)=1-(r/4)
1.0087=1-(r/4)
1.0087-1=r/4
0.0087=r/4
R=0.0087×4
R=0.0348
R=0.0348×100
R=3.48%

Related Questions

When looking for the domain of a graph, what values are you looking for?

Answers

Answer: you are looking for the x value

Step-by-step explanation: the domain is the answer on the x intercept

The Canvas Camping Company makes canvas tents like the one shown. How much material is needed to make the tent?

Answers

The material needed to make the tent assumes the shape of a triangular prism and the surface area of the material needed is 193.18 ft².

What is the surface area of a triangular prism?

A triangular prism is indeed a three-sided prism made up of a triangle base, a translational copy, and triple faces connecting equivalent sides in geometry.

The properties of a triangular prism include:

It has five facesIt has six edgesIt has nine vertices

Let's assume that the shape of the canvas tents is in form of a triangular prism, to determine the material needed to make the tent, we need to understand the surface area of a triangular prism.

However, let's assume that:

Each of the three bases of the triangular prism = 6The height of the triangular prism = 9

From the image attached below: the surface area of the triangular prism can be calculated by using the following  formula:

[tex]\mathbf{A = 2A_B +(a+b+c)h }[/tex]

[tex]\mathbf{A_B = \sqrt{s(s-a)(s-b)(s-c)}}[/tex]

[tex]\mathbf{s = \dfrac{a+b+c}{2}}[/tex]

Combining the formulas together the surface area of the triangular prism can be computed as:
[tex]\mathbf{S.A = ah+bh+ch+\dfrac{1}{2} \sqrt{ -a^4+2(ab)^2+2(ac)^2-b^4 +2(bc)^2-c^4}}[/tex]

[tex]\mathbf{S.A = (6\times9)+(6\times9)+(6\times9)+\dfrac{1}{2} \sqrt{ -6^4+2(6 \times 6)^2+2(6 \times 6)^2-6^4 +2(6 \times 6)^2-6^4}}[/tex]

S.A = 193.18 ft²

Learn more about the surface area of a triangular prism here:

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find the value of X
please help!

Answers

Answer:

Step-by-step explanation:

So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540

Then it is algebra

540=91+125+92+(3x-5)+(4x-8)

Simplify what you can and collect like terms

540=308+3x-5+4x-8

540=308+7x-13

Then move everything over to the one side so that the variable is isolated

540-308+13=7x

245=7x

242/7=x

35=x

Hurry help me please

Answers

Answer:

5

Step-by-step explanation:

Convert the element to fraction:

[tex]\frac{2}{1}[/tex] / [tex]\frac{2}{5}[/tex]

Switch the division to multipl:

2/1 * 2/5

Cross multiply:

2 is elimiated and 1 and 5 remain.

Answer is 1/5 which is 5.

Answer:

5

Step-by-step explanation:

2 ÷ 2/5

= 2 x 5/2

= 10/2

= 5

Number two please! Simplify. Also please explain.

Answers

Answer:

2x−15

7x+10

Step-by-step explanation:

3x squared cancels out then you are left with

6x-45

21x+30

then you simplify and get  2x-15

                                            7x+10

For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the game that regularly costs $32. 50?

Answers

Answer: $23.40

Step-by-step explanation:

   We will find what percent of the normal cost the items are currently.

100% - 28% = 72%

   Now, we will find 72% of $32.50

72% -> 0.72

$32. 0 * 0.72 = $23.40

          The discounted cost is $23.40.

Which shows one way to determine the factors of x3 5x2 – 6x – 30 by grouping? x(x2 – 5) 6(x2 – 5) x(x2 5) – 6(x2 5) x2(x – 5) 6(x – 5) x2(x 5) – 6(x 5)

Answers

Answer:

x(x2 + 5) - 6(x2 + 5)

Step-by-step explanation:

hope it help! :D

Answer:

D

Step-by-step explanation:

took test on edg

Bobby has 9 pizzas. He eats 2 and throws away 1. How many does he have left?

Answers

Bobby has 6 pizzas left.

Step-by-step explanation:

9-2(eaten ones)-1(thrown away)=6

Answer:

6

Step-by-step explanation:

What is the factored form of the polynomial? x2 − 12x 27? (x 4)(x 3) (x − 4)(x 3) (x 9)(x 3) (x − 9)(x − 3)

Answers

The factored form of the provided polynomial which is obtained by the method of split the middle term is (x-9)(x-3).

What is factored form of the polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

When a polynomial equation is expressed in its factors, then this equation is called the factored form of the polynomial.

The provided polynomial equation is,

[tex]x^2 - 12x+ 27[/tex]

Split the middle term to find the factors of the equation as,

[tex]x^2 - 12x+ 27\\x^2 - 9x-3x+ 27\\x(x-9)-3(x-9)\\(x-9)(x-3)[/tex]

Hence, the factored form of the provided polynomial which is obtained by the method of split the middle term is (x-9)(x-3).

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Answer:

c

Step-by-step explanation:

Please help me with this problem, I’ll mark you as Brainly!

Answers

x > 1, the values of x have to be lower than 1

g(t) = 3t+3
h(t) = 2t - 1
Fing (g - h) (2)

Answers

Answer: 6

Step-by-step explanation:

х
у
-2
-2
-1
1
1
7
2
10

Answers

Answer:

y=3x+4

Step-by-step explanation:

See attachment.


What werror did Tracy make

Answers

Answer:

26

Step-by-step explanation:

For a centroid there is a 2:1 ratio for AG:GF and for BG:GD. Because BG is 40, GD is 20, so x is 2. Using that information, you can solve for AG. 19(2)+14, which is 52. This means that GF is 52/2 = 26.

I need help FAST!!! How do you do this???

Answers

Answer:

- (x + 10 )

Step-by-step explanation:

Given:

-x-10

Factor out -1                  {-x is the same as -1}

= - (x+10)

~Lenvy~

For a repeated-measures study, a small variance for the difference scores indicates that the treatment effect is consistent across participants.
A. True
B. False

Answers

The statement that a small variance for the difference scores implies that the treatment effect is consistent is true

How to determine the truth value of the statement?

The variance of a dataset is used to measure the spread and the average squared deviations from the mean of the dataset.

The smaller the variance of a repeated study, the closer the dataset set are from the mean of the dataset.

This means that a small variance indicates a consistent data

Hence, the given statement is true

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Consider the functions f(x) = x − 7 and g(x) = 4x3.

What is f(x) + g(x)?

Answers

Step-by-step explanation:

f(x)+g(x)=(x-7)+(4×3)

f(x)+g(x)=(x-7)+(12)

f(x)+g(x)=x-7+12

f(x)+g(x)=x+5

Theresa uses a unique box in the shape of a trapezoidal prism for her specialty candles. The area of the base of the box for the smaller candle is 125 cm2 and the box is 12 cm tall. The box used for the larger candle has a base whose area is 160% that of the smaller box, and it is 6 centimeters taller.
What percent of the volume of the smaller box is the volume of the larger box?
Answer:

Answers

The volume of the larger box is 240% that of the volume of the smaller box.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables

Volume of smaller box = area of base * height = 125 cm² * 12 cm = 1500 cm³

Volume of larger box = area of base * height = (1.6 * 125 cm²) * (12 + 6) cm = 3600 cm³

Ratio of volume = 3600/1500 = 2.4 = 240%

The volume of the larger box is 240% that of the volume of the smaller box.

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After the introductory period, all consumers who have this Platinum Card will. *


1. Pay the same A. P. R.

2. Qualify for an A. P. R. Based on their creditworthiness

3. Pay the Penalty A. P. R. Of 30. 24%

4. Be charged an Annual Fee

Answers

Answer:

Qualify for an A.P.R. based on their creditworthiness

Step-by-step explanation:

After the introductory period is over you will be set a new APR

S= ut + ½ at?
u= 10
a=-2 t= 1/2
Work out the value of s.

Answers

Answer:

9

Step-by-step explanation:

(10x1/2) + 1/2 (-2x1/2)

-> 5+ 1/2 (-1)

-> 5+-1/2

->4.5

-> 4.5^2=9

Step-by-step explanation:

[tex]s = 10 \times \frac{1}{2} + \frac{1}{2} + ( - 2)( \frac{1}{2} ) ^{2} [/tex]

[tex]s = 5 + \frac{1}{2} \times ( - 2)(0.25)[/tex]

[tex]s = 5 + \frac{1}{2} ( -1)[/tex]

[tex]s = 5 - 0.5[/tex]

[tex]s = 4.50[/tex]

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Which expression is the factorization of x2 10x 21? (x 3)(x 7) (x 4)(x 6) (x 6)(x 15) (x 7)(x 14)

Answers

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex] \purple{ \bf{Let's \: solve→}}[/tex]

[tex] \sf{↪ {x}^{2} + 10x + 21} \\ \\ \sf{↪by \: splitting \: middle \: term} \\ \\ \sf{↪ {x}^{2} + 7x + 3x + 21} \\ \\ \sf{↪taking \: common} \\ \\ \sf{↪x(x + 7) + 3(x + 7)} \\ \\ \sf{↪(x + 3)(x + 7) \: is \: yr \: answer}[/tex]

____________________☃️

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Please help! If you don’t know the answer please don’t answer!!

Describe the type of distribution:

A.) Uniform

B.) Approximately bell-shaped

C.) Skewed left

D.) Skewed right

Answers

you see its d because

Please help me........​

Answers

13 unit is up, 9 units right, dilated by 2

Find the value of x.
4(x - 12)= -8

Answers

Answer:

10

Step-by-step explanation:

First distribute: 4x-48 = -8

Isolate the variable: 4x= -8+48; 4x=40; 4x/4=40/4

Solve: x=10

                                 

What is the area of the parallelogram?

Will mark brainlyest!!

Answers

36m^2

Step-by-step explanation:

Answer: the first answer

Step-by-step explanation: A= B times h base times hight the base is 6 and the hight right now is also 6

Zara is shopping at a furniture store with a budget of $1,500
$
1
,
500
to buy a sofa and a coffee table.
She wants to buy a sofa for $924
$
924
and a coffee table for $640
$
640
.
Zara wants to estimate to see if she has enough money.

Complete the statements.

Answers

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

She wants to buy a sofa for $924 and a coffee table for $640, hence:

Estimated total cost = 924 + 640 = $1564

The Estimated total cost was $1564. Zara do not have eough money to buy the sofa and coffee table.

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What is the best strategy for reading classic poetry with lots of words you don't know?


A. Look up each unknown words in a dictionary.

B. Form a study group to figure out what the strange words mean.

C. Ask your teacher for the definitions of unfamiliar words.

D. Use context clues to guess at the meanings of unknown words.

Answers

Answer:

D.

Step-by-step explanation:

Use context clues to guess at the meanings of unknown words.

Answer:

D

Step-by-step explanation: you have to use context clues to look up words because it improves your reading skills

Advanced Clock Repair Services repairs a large variety of antique clocks. Dennis, the owner, operates the business out of his living room and he performs all repairs. Based upon history, the time to repair a clock is exponentially distributed with a mean of about 5 days. Currently, Dennis will always accept a clock for repair no matter how many are already in his living room. Customers drop off clocks for repair according to a Poisson process with a rate of about 0. 18/day. Dennis charges an average of $250 for a repair.


Required:

a. How many clocks would you expect to find in Dennis's living room at any time?

b. Assume you just dropped off a clock for repair. How long would you expect to wait before your clock is repaired?

c. What is Dennis's expected income rate?

d. Dennis's wife is irritated with the number of clock in the living room. Dennis is considering setting a limit of 5 clocks in his living room at any time (. E. An arriving customer will be turned away if there are already 5 clocks there). Dennis would like to determine the impact on his income rate for the new policy vs. The old. Build a model and use it to answer his question

Answers

The answer is B- assume you just dropped off a clock for repaid. how long would u expect to wait before your clock is repaired

Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options. landing on a shaded portion and landing on an even number landing on a shaded portion and landing on a number greater than 3 landing on a shaded portion and landing on a 3 landing on an unshaded portion and landing on an odd number landing on an unshaded portion and landing on a number less than 2

Answers

Events that mutually exclusive are 1. Landing on a shaded portion and landing on a 3.2. Landing on an unshaded portion and landing on a number less than 2.

What is Mutually exclusive events?

Mutually exclusive events mean the events will have no intersection.

The two are options correct

1. Landing on a shaded portion and landing on a 3.

2. Landing on an unshaded portion and landing on a number

less than 2.

The explanation for 1:

Landing on a shaded portion means landing on 1 or 4.

Landing on 3 is not possible and it will be only on 3. So, these events have no intersection.

The explanation for second

Landing on an unshaded portion means landing on either 2 or 3.  And landing on a number less than 2 means landing on 1.

There is no intersection.

So, these events are mutually exclusive.

To learn more about the mutually exclusive visit:

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Answer:

The answer above is correct! It is C and E. Hope this helps!

Step-by-step explanation:

Find 3 ratios that are equivalent to the given ratio.

Answers

Answer:

A. 12:26 , E. 18:39 , D. 24:52

Hope this helped, brainliest would be appriciated :) have a nice day!

How many 6-digit numbers are there in all?
(Kindly explain the answer as well, if u don't know the explanation, then don't answer) (no offense meant)

Answers

Answer:

900,000

Step-by-step explanation:

you subtract smallest 7 digit number 1,000,000

by the smallest 6 digit number which is 100,000

1,000,000 minus 100,000 which is 900,000

cuemath

Maths Doubt

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