Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Easton to end up with $420?

Answers

Answer 1

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

[tex]340(x)^{32}=420[/tex]

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

[tex]x^{32}=\frac{21}{17}[/tex]

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.


Related Questions

Giải hệ pt :{ 2x-3y=1
{x+2y=4

Answers

x+2y=4 ] × (-2) —> -2x-4y=-8

2x-3y=1

-2x-4y=-8

_________o_o___

–7y=–7 —> y =1

2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4

x=4/2 —> x=2

(x,y) > ( 2,1)

I hope I helped you ^_^

Pretty please helppplp!!!!!!

Answers

Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.

x^-150 / x^-144

Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.

x^(-150 + 144)

x^-6

Hope this helps!

Answer:

so your answer is -6

Step-by-step explanation:

[tex]\frac{(x^2^5)^-^6}{(x^-^3)^4^8}[/tex]  Did i write the equation right? If so you would multiply the exponents

x^-150                                                                            x^144

----------   so you then flip the two and get                  ----------

x^-144                                                                            x^150

then you would subtract the exponents like this 144-150= -6

                 

                 

You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?

Answers

-5 because the negatives equal to -11 then the positives equal to 6 and -11+6 is -5.

Can someone help me with this math homework please!

Answers

Answer:

Last answer.

Step-by-step explanation:

What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.

Does anyone know the answer to this math question?

Answers

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.

Answers

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98

HELP !!!!

what is the area of this figure

Answers

Answer:

1049760

Step-by-step explanation:

Just multiple

This is the answer to this question

Answer:

1,049,760

Step-by-step explanation:

9 x 3 = 27

27 x 8 x 3 = 648

648 x 15 x 3 = 29,160

29,160 x 6 x 6 = 1,049,760

Therefore the answer is 1,049,760.

What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"

Answers

Answer:

Read below.

Step-by-step explanation:

The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.

A proportion is setting two ratios equal.

If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.

For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.

By the order of the letters in ABC and XYZ, you can conclude that

side AB corresponds to side XY

side AC corresponds to side XZ

side BC corresponds to side YZ

Since the lengths of corresponding sides are in the same ratio, so you can further conclude that

the length of AB is to the length of XY as

the length of AC is to the length of XZ as

the length of BC is to the length of YZ

Mathematically, you can write the previous three lines as the proportion

AB/XY = AC/XZ = BC/YZ

Find the surface area and volume for each of the following:

Answers

9.5cm
9.5cm is the answer

Answer:

mark brainlist..............

Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=

Answers

Answer:

Step 1: 1.5

Step 2: Plot the points (0, 1.5)

Step 3: 3, then 0.75

Step 4: Plot the points (1, 3) and (-1, 0.75)

Step 5: y=0

Step-by-step explanation:

Ur welcome and have a nice day :>

The initial value of the function f(x) = 3/2 (2)^x is 3/2

How to calculate the initial value of the function?

The function expression is given s:

f(x) = 3/2 (2)^x

Substitute 0 for x

f(0) = 3/2 (2)^0

Evaluate the exponent

f(0) = 3/2 * 1

Evaluate the product

f(0) = 3/2

Hence, the initial value of the function is 3/2

Read more about exponential functions at:

https://brainly.com/question/11464095

How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?

Answers

Answer:  4 positive integers

Step-by-step explanation:

Positive integers less than 100 that are divisible by 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Let's write out numbers that are not divisible by 2 or 4:

7, 21, 35, 49, 63, 77, 91.

Now let's write out numbers that are not divisible by 3:

7, 35, 49, 77, 91.

Finally, let's write out the numbers that are not divisible by 5:

7, 49, 77, 91.

Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Answers

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2

Answers

Answer:

A's radius is half so multiply it by 2 to get the diameter which is the same as B's.

Step-by-step explanation:


I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you

Answers

Answer:

[tex]A = Pe ^{-0.03108 * t}[/tex]

Step-by-step explanation:

Note: these are typically two part questions...

you have the model and have to FIRST find a constant value "k"

once you have the "k" value you plug that into the model to finish the problem

[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...

e is "e 2.717" not a variable "e"

so... step 1.. fink k

you are told that the 1/2 life is 22.3 years...

so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)

you would have

1 = 2[tex]e^{k * 22.3}[/tex]

.5 = [tex]e^{k * 22.3}[/tex]

ln(.5) = 22.3k ln(e)

ln(e) = 1

ln(.5) = 22.3k

ln(.5) = 22.3k ln(e)

[tex]\frac{ln(.5) }{22.3} = k[/tex]

[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k

Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80

Answers

Respuesta:

7

Explicación paso a paso:

Dado :

Último minuto por día = 5 minutos

Número de retrasos = 3 días

Número total de minutos tarde = (30 * 5) = 150 minutos

Cargo por multa por pago tardío por hora = 2,80

Total de horas tardías = 150 minutos / 60 = 2,5 horas

Cargo total por multa por mora = 2.80 * 2.5

Cargo total por multa por mora = 7

3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.

Answers

Answer:

74 mph

Step-by-step explanation:

The driver started driving at s mph.

After 3 hours, the speed became s + 10 mph.

The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.

speed = distance/time

distance = speed * time

distance = (distance driven at speed s) + (distance driven at speed s + 10)

894 = s * 3 + (s + 10) * 8

3s + 8s + 80 = 894

11s + 80 = 894

11s = 814

s = 74

Answer: 74 mph

Here is a circle, centre 0, and the tangent to the circle at the
point (-7, 24) on the circle.
Find an equation of the tangent at the point P.
Give your answer in the form y = ax + b where a and b are both
fractions with denominator 24.

Answers

Answer:

[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]

Step-by-step explanation:

The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.

The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is

[tex] m_r = \dfrac{24 - 0}{-7 - 0} [/tex]

[tex] m_r = -\dfrac{24}{7} [/tex]

The slope of the tangent is the negative reciprocal of the slope of the radius.

[tex] m_t = \dfrac{7}{24} [/tex]

The tangent contains point (-7, 24).

y = mx + b

[tex] 24 = \dfrac{7}{24}(-7) + b [/tex]

[tex] 24 = -\dfrac{49}{24} + b [/tex]

[tex] \dfrac{576}{24} + \dfrac{49}{24} = b [/tex]

[tex] b = \dfrac{625}{24} [/tex]

The equation of the tangent is

[tex] y = \dfrac{7}{24}x + \dfrac{625}{24} [/tex]

An equation of the tangent at the point P is y=7/24 x+625/24.

Given that, here is a circle, center O, and the tangent to the circle at the point (-7, 24) on the circle.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The radius drawn to the tangent at the point of tangency is perpendicular to the tangent.

The radius has endpoints (0, 0) and (-7, 24). The slope of the line containing the radius is m= (24-0)/(-7-0)

= -24/7

The slope of the tangent is the negative reciprocal of the slope of the radius.

So, slope =7/24

The tangent contains point (-7, 24), so 24=7/24 (-7)+24b

⇒ 576=-49+24b

⇒ b=625/24

Now, with m=7/24 and b=625/24, we have

y=7/24 x+625/24

Therefore, an equation of the tangent at the point P is y=7/24 x+625/24.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

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Classify the following triangle. Check all that apply.

Answers

D & E

See the photo for further reference on triangle classification.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

If eleven plus two equal one what does nine plus five equal?

Answers

Answer:

huh???

Step-by-step explanation:

how does that make sence

The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?

Answers

Answer:

y = 4x -2

Step-by-step explanation:

y = 4x + b

6 = 4(2) + b

6 = 8 + b

-2 = b


The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Answer:

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20

Please help me!! I don’t underatsnd

Answers

Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

~~~~~~~~~~~~

6(2) + 11

12+11 =23

Answer: 23 degrees
QPS being a “straight angle” means its 180 degrees so: add the two equations and set it equal to 180: 13x+154=180 and x=2
Plug x into the equation 6x+11 which equals
23 degrees

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5

Answers

Answer:

c

Step-by-step explanation:

it just is

Amanda has six more than four times the number of crayons that Clyde has. (write the equation)​

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

y = 4x + 6

Find the value of x for the right triangle.

Answers

Answer:

x = 3

Step-by-step explanation:

take 60 degree as reference angle and using cos rule

cos 60 = adjacent/hypotenuse

1/2 = x/6

do cross multiplication

2*x = 6*1

x = 6/2

x = 3

Find the volume. Leave answer in exact form (in terms of π) ​

Answers

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

if x = 2 is a solution to the system shown below, then what must be value of b?

y = 7x + 4
y = 3x + b

——————————————-

(1) 5

(2) -4

(3) -17

(4) 12

thank you in advance for anyone that helps answer this :))

Answers

12 so we would multiply 2 by whatever is next to X. So 14+4=18 and 6+b=18 so we just subtract 18-6 and we get 12 :)

Answer:

(4). 12

Step-by-step explanation:

SOMEONE PLEASE HELP ME!

Answers

FH = HG =GF
—— —— ——
IK JK IJ

8 =HG =3.2
—. —— ——
32 JK IJ

or, 2 3.2
—— = ——
8 IJ

or,2IJ=3.2*8

or,IJ=25.6
———-
2
.•.IJ=12.8
Hope this might help you

Which choice is equivalent to the quotient below square root 32/ square root 8

Answers

Answer:

there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]

The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

What is the square root of any number?

The square root of any number is equal to a number, which when squared gives the original number.

What is an equivalent expression?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

According to the given question.

We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]

Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by

[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]

⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]

Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

Learn more about equivalent fraction here:

https://brainly.com/question/17912

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find the scale factor

Answers

Answer:

1/3

Step-by-step explanation:

To get the scale factor , we have to divide the lengths of the similar sides on both shapes

What we have to do here is to divide the left length of each

we have this as 6/18 since they both represent the length

we have this as 1/3

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