Sam invested $2700 in an account with annually compounded interest. After 7 years, he had $3432 in the account. What was the interest rate of the account? Round your answer to one decimal place.

Answers

Answer 1

Answer: 3.5

Step-by-step explanation:


Related Questions

A point is randomly chosen in the circle shown below.
In which region of the circle is the point certain to be chosen?
in region A
in regions C or D
in region E
in a region with a letter​

Answers

Answer: in a region with a letter

Step-by-step explanation:

we cannot predict for sure what will happen when we plot the random point.

Answer:

A certain answer would be  in a region with a letter

Step-by-step explanation:

All the sections have letters so, no matter what letter, the point would land in a section with a letter.

what is the value of x in 9/5 x = 2/3

Answers

Answer:

x = 10/27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

9/5x = 2/3

Step 2: Solve for x

Divide both sides by 9/5:          x = 10/27

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    9/5(10/27) = 2/3Multiply:                        90/135 = 2/3Simplify:                        2/3 = 2/3

And we have our final answer!

Answer:

x = 10/27

Step-by-step explanation:

2/3 ÷ 9/5

2/3 x 5/9 = 10/27

Find the slope of the line that passes through (40,3000) and (60, 4000).

Answers

Answer:

[tex]m=50[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (40, 3000)

Point (60, 4000)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{4000-3000}{60-40}[/tex]Subtract:                       [tex]m=\frac{1000}{20}[/tex]Divide:                          [tex]m=50[/tex]

what is the weight of 15 gallons of water?

Answers

Answer:

A gallon of water is approximately 8.3 pounds. 8.3*15=124.5

So the weight of 15 gallons of water is 124.5 pounds.

Answer:

A gallon of water weighs approx. 8.34 lbs. so 15 gallons would be, let me see, 18.34 equals, 125.10 lbs. Therefore the weight of 15 gallons of water would be 125.20 lbs

Step-by-step explanation:

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.

Answers

Answer:

The answer is 25:1

Step-by-step explanation:

Which of these is a group of organs that work together and perform one or more functions?


• Organelle

• Organ System

•Molecule

•Tissue

Answers

Answer:

molecues

Step-by-step explanation:

molecues

Answer:

Organ System, and organ system is a group of organs that work together to accomplish a goal. An example of this would the the Digestive system, this is a organ system made up of may organs such as your large and small intestine and stomach in order to complete your digestive track.

Jennilsa is making ice cream. The recipe requires 1/2 cup of milk and 1 1/2 teaspoons of sugar.
Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is
required when 1 cup of milk is used?

Answers

Answer:

Three cups of sugar

Step-by-step explanation:

just times 1 1/2 by 2

Answer:

3

Step-by-step explanation:

2+2=22? is this the corect awnser

Answers

Answer:

I think 2+2=4

Step-by-step explanation:

20+2=22 tho

Answer: no

Step-by-step explanation:

2+2= 4

20+2=22

But u can’t get put 2+2 and say 22. Unless it’s 11(2) =22

The width of a rectangle is 2 and the length is 2.what is the area of the rectangle

Answers

Answer:

2x2+ 4 The area is 4 in

Step-by-step explanation:

Area is length x width, so 4.

Find the measures (2x+16)(x+23)

Answers

Answer:

I have negative points I need this

Step-by-step explanation:

need help with this

Answers

B I think. I’m not sure though

Answer:

on which subject.

Step-by-step explanation:

Help me and I’ll give u BRAINLEST!!

Answers

It’s -8 pls give the points I gave you the answer

According to the Truth in Lending Act, which of the following is the bank NOT
obligated to inform you of?

A. Interest calculating method
B. Maximum finance charge
C. Annual fee amount
D. APR

Answers

According to the Truth in Lending Act, which of the following is the bank NOT obligated to inform you of is:  A. Interest calculating method.

What is Truth in  lending Acts?

Truth in lending acts is an acts that enables lenders to disclose in  utmost truth  the terms and condition of the loans they offers including all the important or necessary information that a borrower  is expected to know.

The truth in lending acts obligate banks or lenders to inform their borrowers about the following:

Maximum finance chargeAnnual fee amountAnnual percentage rate (APR)

Therefore the correct option is A.

Learn more about Truth in lending acts here:https://brainly.com/question/2492099

#SPJ1

Find the equation of the circle that has a diameter with endpoints (-4,8) and (4,-4)

Answers

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First we need to find the distance between two points which is the diameter of the circle .

_________________________________

Suppose :

a = ( - 4 , 8 )

b = ( 4 , - 4 )

We have following equation to find the distance between two points.

[tex]distance = diameter = d[/tex]

[tex]d = \sqrt{ ( \: {y(b) - y(a)} \: )^{2} + ( \: {x(b) - x(a)} \: )^{2} } \\ [/tex]

Now just need to put the coordinates :

[tex]d = \sqrt{ ({ - 4 - 8})^{2} + ( \: {4 - ( - 4)} \: )^{2} } \\ [/tex]

[tex]d = \sqrt{ ({ - 12})^{2} + ({4 + 4})^{2} } [/tex]

[tex]d = \sqrt{ ({ - 12})^{2} + ({8})^{2} } [/tex]

[tex]d = \sqrt{144 + 64} [/tex]

[tex]d = \sqrt{208} [/tex]

[tex]d = \sqrt{4 \times 52} [/tex]

[tex]d = \sqrt{4 \times 4 \times 13} [/tex]

[tex]d = \sqrt{ {4}^{2} \times 13 } [/tex]

[tex]d = 4 \sqrt{13} [/tex]

This is the diameter of the circle.

We know that :

[tex]diameter = 2 \times radius[/tex]

So :

[tex]4 \sqrt{13} = 2 \times radius[/tex]

Divide sides by 2

[tex] \frac{4 \sqrt{13} }{2} = \frac{2 \times radius}{2} \\ [/tex]

[tex]2 \sqrt{13} = radius[/tex]

Remember it.

_________________________________

To find the equation of the circle except the radius , we need the coordinates of the centre.

The midpoint of the diameter is the centre of the circle .

So we have to find the midpoint of the diameter .

Look :

[tex]midpoint = center = o[/tex]

[tex]o = ( \: \frac{x(a) + x(b)}{2} \: , \: \frac{y(a) + y(b)}{2} \: ) \\ [/tex]

[tex]o = ( \: \frac{ - 4 + 4}{2} \: , \: \frac{8 - 4}{2} ) \\ [/tex]

[tex]o = ( \: \frac{0}{2} \: , \: \frac{4}{2} \: ) \\ [/tex]

[tex]o = ( \: 0 \: , \: 2 \: )[/tex]

This the coordinates of the centre.

_________________________________

Equation of the circle has a form like this :

[tex]( {x - m})^{2} + ({y - n})^{2} = {r}^{2} [/tex]

In which :

[tex]m = x - coordinate \: \: of \: \: the \: \: center \\ [/tex]

[tex]n = y - coordinate \: \: of \: \: the \: \: center \\ [/tex]

[tex]r = radius[/tex]

_________________________________

[tex]o = ( \: 0 \: , \: 2 \: )[/tex]

[tex]radius = 2 \sqrt{13} [/tex]

Thus :

[tex] ({x - 0})^{2} + ({y - 2})^{2} = ({2 \sqrt{13} })^{2} \\ [/tex]

[tex] {x}^{2} + ({y - 2})^{2} = 4 \times 13[/tex]

[tex] {x}^{2} + ({y - 2})^{2} = 52 [/tex]

This is the equation of the circle .

And we're done....

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Successive discounts of 20% and 10% are taken on an item priced at $16. Describe how to find the sale price of the item
and give the sale price.

Answers

Answer:

$11.52

Step-by-step explanation:

16 * .2 = 3.2

16 - 3.2 = 12.8

12.8 * .1 = 1.28

12.8 - 1.28 = $11.52

Take the given amount and take 20% off using the first 2 solutions, then take the "successive" discount of 10% using the second 2 solutions to get the final sale price

Question 6 of 10
In which form is the following function written?
y= -2(x - 3)(x + 5)
___ form.

Answers

Answer:

Root form

Step-by-step explanation:

If this is precalculus or Algebra 2, then this should be root form

Answer:

factorised form

Solve for x PLS HELP NOW

Answers

Answer:

[tex]x=70[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

[tex]\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}[/tex]

Step 2: Solve for x

Cross-multiply:                    [tex]0.35(x-10)=\frac{2}{3} x \cdot 0.45[/tex]Distribute 0.35:                   [tex]0.35x - 3.5=\frac{2}{3} x \cdot 0.45[/tex]Multiply:                               [tex]0.35x - 3.5=0.3x[/tex]Isolate x term:                     [tex]-3.5=-0.05x[/tex]Isolate x:                              [tex]70=x[/tex]Rewrite:                               [tex]x=70[/tex]

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                   [tex]\frac{0.35}{\frac{2}{3}(70) } =\frac{0.45}{70-10}[/tex]Multiply:                       [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{70-10}[/tex]Subtract:                      [tex]\frac{0.35}{\frac{140}{3} } =\frac{0.45}{60}[/tex]Evaluate:                     [tex]0.0075=0.0075[/tex]

Answer:

70

Step-by-step explanation:

Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

Answers

Answer: The correct option is option (B) 1.08(0.87y).

Step-by-step explanation:

The answer is B

100% - 13% = 87% or .87

Tax is 8% or .08

Total cost would be 1 + .08 x .87

or 1.08(0.87y)

A triangle has a height of 5 and an area of 60. Find the base.

Answers

Answer:

24

Step-by-step explanat

The base of the triangle is 24 units.

Michael is saving to buy a car. He has 2/5 what he needs to buy the car. His savings account has a balance of $ 1000. How much does the car cost? How much more does he need to SAVE?

Answers

2500

1,000 divided by 2/5 is 2,500

pleaseee help meeeeee​

Answers

Answer: true

Step-by-step explanation:

The x column does not have any repeats

Answer:

False!

Step-by-step explanation:

It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.

Use an element argument to prove the statement. (Assume that all sets are subsets of a universal set U.)

Statement: For all sets A, B, and C, (A − B) ∩ (C − B) = (A ∩ C) − B.

Answers

Answer and Step-by-step explanation:

Solution:

Given:

A, B and C are sets.

We have to prove that:

(A − B) ∩ (C − B) = (A ∩ C) − B.

Use an element x,

Let x Є (A – B), by the definition of difference:

X Є A  and x ∉ B.

And

X Є A ∩ C and x ∉ B

X Є (A ∩ C) – B

Now let x Є C – B

By the definition of difference:

X Є C and x ∉ B

By definition of intersection: x Є C and x Є( A ∩ C)  

By definition of difference, using that x Є(A ∩ C) And x  ∉ B:

X Є ( A ∩ C) – B

We know that: x Є (A – B) ∩ ( C – B)

Is equivalent to x Є A – B  and x Є C – B

So, ( x Є A and x ∉ B)

And (x Є C and x  ∉  B)

From this we know that x Є (A ∩ C) – B.

Write the cubic polynomial function f(x)in expanded form with zeros −6, −4,and −1,given that f(−2)=−32.

Answers

Answer:

[tex]f(x)=4x^3+44x^2+136x+96[/tex]

Step-by-step explanation:

Polynomials

It's possible to build a polynomial function by knowing its zeros and leading coefficient.

Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:

[tex]f(x)=a(x-x_1)(x-x_2)(x-x_3)[/tex]

Where a is the leading coefficient.

We are given the zeros -6, -4, and -1, thus:

[tex]f(x)=a(x+6)(x+4)(x+1)[/tex]

The value of a can be calculated by substituting the point (-2,-32):

[tex]a(-2+6)(-2+4)(-2+1)=-32[/tex]

Calculating:

[tex]a(4)(2)(-1)=-32[/tex]

[tex]-8a=-32[/tex]

Dividing by -8:

[tex]a = -32/(-8) =4[/tex]

a = 4.

The polynomial is now complete:

[tex]f(x)=4(x+6)(x+4)(x+1)[/tex]

Operating:

[tex]f(x)=4(x^2+10x+24)(x+1)[/tex]

[tex]f(x)=4(x^3+11x^2+34x+24)[/tex]

[tex]\mathbf{f(x)=4x^3+44x^2+136x+96}[/tex]

write slope form of lines satisfying the given coditions then use the point slope form of the eqation to write the slope intercept form of the equation slope = 4, passsing through (-3,9)

Answers

Answer:

Here is how to find the equation of the line using point-slope form

Formula for the equation of a line in point-slope form: y - y₁ = m(x - x₁)

Now that we have the formula, we plug in what we are given.

y - 9 = 4(x + 3)

We can covert this into slope-intercept form by solving for y.

[tex]y - 9 = 4(x + 3)\\\\y - 9 = 4x + 12\\\\y = 4x + 21[/tex]

Our equation for this line is: y = 4x + 21.

We can prove this by graphing the line, like so:

simpifly 15/20 .............

Answers

Answer:

3/4

Step-by-step explanation:

Divide both numerator and denominator by 5:

3/4

please help me solve this problem​

Answers

Answer:

C (10×4) ÷ 2

Step-by-step explanation:

C is the answer because if you do an equation,

10 multiplied by 4 (10×4)

Then, she wants to share the dolls equally for her brother

This means that you have to multi[ly 4 by 10, so you get 40. If she shares the dolls equally with her brother, she will give him 20 and keep 20 for herself.

C provides the correct answer with 20. 40/2 is 20

It’s C (10 x 4) divided 2

find the circumference of the circle iready r=9

Answers

Answer:

56.52

Step-by-step explanation:

Here, r = 9 is given

Then, The Formula of Circumference of Cirlcle

= 2πr

= 2 × 3.14 × 9 = 56.52

Thus, The Circumference of Cirlcle is 56.52

The polynomial p(x)= x3 + 7x2 – 36 has a known factor of (x + 3).

Answers

This is your perfect answer

HELPPPPPPpppp Pleaseee

Answers

Answer:

Step-by-step explanation:

1 min= 20%+5%=25%

Therefore 2 min = 25%+5%=30%

3 min=30%+5%=35%

4min =40% therefore your coodinates will be like(1,25),(2,30),(3,35),(4,40) etc

On a hot summer day, Leo and Stefano decided to buy some refreshments at the Fruit and Smoothies store. Fruit kabobs cost $1.75 each and smoothies cost $2.50 each. Leo ordered two fruit kabobs and one smoothie. How much did he spend?

Answers

Answer:

$6.00

Step-by-step explanation:

2(1.75)+2.50=6

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