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

In the system of equations
-3.0 - 4y = 4
-52 + y = 2
Is (2, 10) a solution to the system?

Answers

Answer:

No, (2, 10) is not a solution to the system

Step-by-step explanation:

The given set of equations are -

-3X - 4Y = 4 --- Eq(1)

-52X + Y = 2--- Eq (2)

Multiplying equation 2 by 4, we get

-3X - 4Y = 4 --- Eq(1)

4 *(-52X + Y = 2)--- Eq (2)

-3X - 4Y = 4 --- Eq(1)

-208X + 4Y = 8--- Eq (2)

Now we will add equation 1 and 2

-211 X = 12

X = 12/211

Hence, the given set of solution does not fit for the given two equations

Write an expression that represents the area of a circle with radius 3x^3. (For any circle with radius r, a=π r^2 = π .r .r ^.)

A. 9 π x ^9
B. 9π x6
C. 6π x9
D. 6π x^6

Answers

9514 1404 393

Answer:

  B. 9πx^6

Step-by-step explanation:

Putting the given radius into the area formula gives ...

  A = πr^2

  A = π(3x^3)^2 = π(3^2)(x^(3·2))

  A = 9πx^6

A point slope form a line that had a slope of 1/2 and goes through (-1,-3) is?

Answers

Answer:

y=1/2x-5/2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/2(x-(-1))

y+3=1/2(x+1)

y=1/2x+1/2-3

y=1/2x+1/2-6/2

y=1/2x-5/2

exponential function b^y=x can be expressed as

Answers

Answer:

[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]

Find m


70°
55°
80°
90°

Answers

Answer:

70°

Step-by-step explanation:

angle subtended by arc is half of arc

Jamie wants to make an 80, or B, test average in her class. She scored 75 and 82 on her last 2 tests. What is the lowest grade she can make on her last test to finish with an 80 test average?

Answers

Answer:

Its probably too late now but the answer is 83

Step-by-step explanation:

83 is the lowest grade she can make on her last test to finish with an 80 test average.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Jamie wants to make an 80, or B, test average in her class.

She scored 75 and 82 on her last 2 tests.

we need to find the  lowest grade she can make on her last test to finish with an 80 test average

Let x be the e  lowest grade she can make on her last test to finish with an 80 test average

75+82+x/3=80

157+x=240

Subtract 157 from both sides

x=83

Hence, 83 is the  lowest grade she can make on her last test to finish with an 80 test average.

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In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.

Answers

Answer:

150cm²

Step-by-step explanation:

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?

The formula for the area of a trapezoid = 1/2(a + b) h

Where a = Length of the first base

b = Length of the second base

h= height of the trapezoid

h = 10cm

The length of one base is equal to its height

Hence:

a = h = 10cm

The length of the other base is twice its height.

b = 2h

h = 10cm

b = 10 × 2 = 20cm

Therefore, the Area of the Trapezoid =

1/2 (20 + 10)10

1/2 × 30 × 10

= 150cm²

A student was interested in purchasing notebooks in bulk to get ready for school. Three stores were offering packages of the kind of notebook the student wanted. The table below shows the offers from each store. Order the stores from the best deal to the worst deal for the notebooks.

Answers

The best store to buy the notebooks is store B.

Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²

Answers

Respuesta:

88,8 cm²

Explicación:

Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.

Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.

Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm

Luego, podemos calcular el área del hexágono usando la siguiente fórmula:

Area = Perímetro × Apotema / 2

Area = 48 cm × 3,7 cm / 2 = 88,8 cm²

Idil has a smart phone data plan that costs $25 per month that includes 10 GB of
data, but will charge an extra $20 per GB over the included amount. How much
would Idil have to pay in a month where she used 4 GB over the limit? How much
would Idil have to pay in a month where she used went over by x GB?

Answers

If you times 4 by 20 you would get 160 then you add the 25 per month and then you would get 185

determine the volume of rectangular prism 6cm 4m 4m

Answers

To determine the volume of a rectangular prism you multiple base*height*width which is going to be 6*4*4 so the volume is 96 m^3

9 ( x - 5 ) = -108 solve for x

Answers

Answer:

x = -7

Step-by-step explanation:

9 ( x - 5 ) = -108

9x - 45 = -108

add 45 to each side of the equation:

9x = -63

divide both sides by 9:

x = -7

Answer:

x = - 7

Step-by-step explanation:

9(x - 5) = - 108

9x - 45 = - 108

9x - 45 + 45 = - 108 + 45

9x = - 63

9x ÷ 9 = - 63 ÷ 9

x = - 7

I need help (20 points)

Answers

since x = 3 is a line that goes from left to right and we need to find an equation that also goes left to right. we can do x = 5 or really any number to equal x to.

PLEASE HELP WITH GEOMETRY IM STUCK!?}

Answers

Answer:

13.8

Step-by-step explanation:

Recall the trigonometric ratios

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now lets look back at the question

We are given an angle and its adjacent side length (11) and we need to find the hypotenuse

The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x

( remember that cosine = adjacent over hypotenuse )

[tex]cos(37)=\frac{11}{x}[/tex]

step 1 multiply each side by x

[tex]cos(37)*x=xcos(37)\\\frac{11}{x} *x=11[/tex]

now we have [tex]xcos(37)=11[/tex]

step 2 divide each side by cos(37)

[tex]\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\[/tex]

we're left with x = 13.77439

Our last step would be to round to the nearest tenth

We would get that the answer is 13.8

Answer:

G) x = 13.8

Step-by-step explanation:

cos 37° = adj/hyp = 11/x

0.7986x = 11

x = 13.8

NEED HELP FAST....Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x + y =3 3y = x - 12.... graph showing two lines intersecting at (3, 3) / graph showing two lines intersecting at (5, -7) / graph showing two lines intersecting at (3, -3) / graph showing two lines intersecting at (-3, -3)

Answers

Answer:

Step-by-step explanation:

Answer:

answer is c

Step-by-step explanation:

PLEASE HELP ME i DONT KNOW how to do this!​

Answers

Answer:

It's b

Step-by-step explanation:

It is b or the second option because -2 is equal or greater than A therefore it is option 2

OKAY, guys give me a really brilliant explanation on how 2+2=4. It should be 22. It doesn't make sense.

Answers

It 22 what are you talking about

Answer:

It does make perfect sense... Count with ya fingers and see 4 yourself.

Step-by-step explanation: Go back to kindergarten buddy...

~ thx 4 the points my dude!~

Explain how the mean, median, and mode affect your purchase decisions?

Answers

Answer:

When a frequency distribution is symmetric, the mean, median and mode coincide in their value (X = Me = Mo). ... In a distribution skewed to the right, the relationship is reversed, the mode is greater than the median, and this in turn is greater than the mean (Mo> Me>).

Step-by-step explanation:

l hope and this can help you

What is the slope of y =
-4?

Answers

Answer:

20

Step-by-step explanation:

Anyone knows this? im giving 20 points pls answer , and it doesnt need to be big im just in 9th grade

Answers

Answer:

men=24%

women=72%

Step-by-step explanation:

100/250=0.4

0.4*180=72

0.4*60=24

i think this is the answer

9
?
Find the arc length of the semicircle,
Either enter an exact answer in terms of ar or use 3.14 for 7 and enter your answer as a decimal.
units

Answers

Answer:

28.26 units

Step-by-step explanation:

Given:

Radius (r) = 9

π = 3.14

Required:

Arc length

Solution:

Arc length = θ/360 × 2πr

θ = 180° (half of a circle = 180°)

Plug in the values into the formula

Arc length = 180/360 × 2 × 3.14 × 9

Arc length = ½ × 56.52

Arc length = 28.26 units

PLEASE HELP ME ILL GIVE BRAINLIEST

Select the correc answer. Consider function g. 5+2 What is the average rate of change of function g over the interval [-4, 3]
OA. 1/2
OB. -7/2
OC. -1/2
OD. 2​

Answers

It would be B. I had this same question.

f(n)=n-2 could some one please answer this?

Answers

Answer:

i dont know

Step-by-step explanation:

i dont know

The ratio of small dogs two big dogs at the park is 1: 3 which does not represent this ratio A. 3:9 B. 9:27 C. 2:4 D. 30:90

Answers

C(2.4) does not represent this ratio.

Answer:

2:4

Step-by-step explanation:

i did the test

Write an equation in slope-intercept form of the line that passes through the given points.

Answers

i haven’t done this in a while but i believe it’s 1/3x-3

The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units

Answers

Answer:

Step-by-step explanation:

w=l-1

∵A=l×w

∴A=l×(l-1)

⇒42=l²-l

⇒l²-l-42=0 (After subtracting 42 from both sides)

Two factors of 42 that add to give negative 1 :-7+6

∴ (l-7)(l+6)=0

∴ l=7 or l=-6

but remember that length is a scalar quantity, hence l≠6 but l=7.

I hope this helped you solve this math problem and made you better understand

Which expression is equivalent to 32 + 16?

(A) 8(4 + 2)
(B) 8(24 + 8)
(C) 7(4 + 2)
(D) 7(24 + 8)

Answers

Answer: (A) 8(4+2)

Brainiest please!!! :)

answer: (A) 8(4+2)

Step-by-step explanation:

I think so BECAUSE I ADD IT ALL UP

9. swimsuit: $22, 5% off, 4% tax

Answers

Answer:

21.74

Step-by-step explanation:

Are you looking for price of swimsuit including tax?

22 x .05 = 1.10 off

22-1.10=20.90 price before sales tax

20.90 x .04 = .84 tax on sales price

20.90 + .84 = 21.74 total paid

HELP PLEASE:(
Determine if the triangles are congruent by using HL?

Answers

Answer:

whats hl

Step-by-step explanation:

Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.

There are ______ pennies and _______ nickels

Answers

Answer:

there are 7 nickels and 13 pennies

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