A principal of $835 is invested in an account at 2% per quarter simple
interest. Which of the following sequences describes the dollar amount of
principal in the account at quarterly intervals?
A. 66.80, 133.60, 200.40, 267.20, 334.00, ...
B. 835.00, 851.70, 868.40,885.10, 901.80, ...
C. 835.00, 901.80, 968.60, 1,035.40, 1,102.20, ...
D. 16.70, 33.40, 50.10, 66.80, 83.50,...
E. 835.00, 851.70, 868.73, 886.11, 903.83, ...

Answers

Answer 1

Answer E

Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.


Related Questions

what is the 784 time 7858

Answers

Answer:

784 x 7858 = 6160672

Step-by-step explanation:

Answer:

Step-by-step explanation:

6160,672

Belkis
On Sunday, a local hamburger shop sold a combined total of 432 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
hamburgers
$
?

Answers

144 hamburgers were sold just divide 432 by 3

Answer: 144 Hamburgers were sold on Sunday.

Step-by-step explanation:

Hamburgers: 432 ÷ 3 = 144

Chessburgers : 432 - 144 = 288

HELP PLEASE! IS THIS PROPORTIONAL??

Answers

Answer:

Porportional

Step-by-step explanation:

-1 x = -15 y

-7 x -15 = -105, correct

-9 x -15 = -135, correct

Because all are correct, this is porportional. This means that there is a unit rate and if this were graphed, the line would be straight.

I Hope That This Helps! :)

Select all equations that have the solution x = 7.
a. 2(x + 7) = 28
b. 6(2x - 1) - 12 = -2(x + 10)
c. 60 = 4(x + 8)
d. 3(x - 5) = 1 + 5(x - 6)

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

1. 2(x+7)

2. 2(7+7)

3. 2(14)

4. 28

Hope this helps!

Answer:

a, c and d

Step-by-step explanation:

determine the value of sin○​

Answers

Answer:

mera bahi mil nhi rha h abhay ko jante h

Answer:

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

If cos(theta) = [tex]\frac{\sqrt{2} }{2}[/tex], then theta should equal [tex]\frac{\pi }{4}[/tex] or [tex]\frac{7\pi }{4}[/tex]  since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is [tex]\frac{7\pi }{4}[/tex] .

So theta should equal [tex]\frac{7\pi }{4}[/tex] .

Now that we have theta, all you have to do is find the value of sine by plugging it in.

sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]

Math help!!! Answers to both 1&2?

Answers

Answer:

1. 1/3

2. 200

Step-by-step explanation:

Please answer asap i will help back and give brainliest

Answers

Answer:

[tex] 24 \times c \\ \\ 24c[/tex]

Step-by-step explanation:

[tex]24 \times c \\ \\ 24c[/tex]

A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before filming begins. Two teams are​ available, one that requires 700 hours and one that requires 400 hours. If the teams work​ together, how long will it take to clean all of the​ streets? Is this enough time before the cameras begin​ rolling?

Answers

Answer:

I think you would add the numbers then divide by 2

Step-by-step explanation:

given r,s, and p, which angle is not congruent to 4?

Answers

Answer:

Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5.  This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)

That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.

That leaves Just B remaining thus B is NOT congruent to 4

<3 is the answer

Step-by-step explanation:

Solve the equation x2 + 4x + 4 = 0​

Answers

Answer:

(

x

2

)

(

x

2

)

=

0

x

=

2

Explanation:

To factor the expression you need to find factors of 4 which add up to 4.

The signs will be the same (because of +4), they are both minus (because of -4x).

2

×

2

=

4

and

2

+

2

=

4

(

x

2

)

(

x

2

)

=

0

Now that we have the factors, we can solve:

If

x

2

=

0

, then  

x

=

2

(Sorry if confusing, it wouldnt let me write it out how i wanted to..)

Evaluate and simplify the expression when a = 3 and b = 2. 3b-2(1 - b) a - 2 II [ ? ] Enter Copyright © 2003.2010​

Answers

Correct question:

Evaluate and simplify the expression when a = 3 and b = 2,

given expression =  3b-2(1 - b)a - 2

Answer:

3b-2(1 - b)a - 2 at the given values is 10.

Step-by-step explanation:

Given;

3b-2(1 - b)a - 2

The expression is simplified as;

3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2

                         = 3b - 2a + 2ab - 2

When a = 3 and b = 2; then, substitute these values in the simplified expression above;

3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2

                            = 6 - 6 + 12 - 2

                            = 10

Therefore, 3b-2(1 - b)a - 2 at the given values is 10.

A study of the career paths of hotel general managers sent questionnaires to an SRS of 210 hotels belonging to major U.S. hotel chains. There were 108 responses. The average time these 108 general managers had spent with their current company was 8.8 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.5 years.)

Required:
a. Find the margin of error for an 85% confidence interval to estimate the mean time a general manager had spent with their current company.
b. Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company.

Answers

Answer:

a

  [tex]E = 0.4850 [/tex]  

b

 [tex]E = 0.8689[/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  108

    The sample mean is  [tex]\= x = 8.8 \ years[/tex]  

     The standard deviation is  [tex]\sigma = 3.5[/tex]

From the question we are told the confidence level is  85% , hence the level of significance is    

      [tex]\alpha = (100 - 85 ) \%[/tex]

=>   [tex]\alpha = 0.15[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.44 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.4850 [/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.58 *  \frac{ 3.5 }{\sqrt{108} }[/tex]

=>    [tex]E = 0.8689[/tex]  

 

Write an algebraic expression for the phrase 17 more than r.

Answers

Answer:

r+17

This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17

Step-by-step explanation:

Here is a sequence: 500, 100, 20, . . . Explain why this sequence could be a geometric sequence.

Answers

A geometric sequence is a sequence in which the numbers are multiplied by a fixed number called the common ratio. For example the sequence 2,6,18,54 all have the common ratio of 3! 2*3=6, and 6*3=18, and 18*3=54!!!!!!!
The answer to this problem would be a geometric sequence! Here’s why:, each term has the common ratio of 1/5!!!!!!! 500*1/5=100....and so on
There fore your answer is this sequence could be geometric because it can be multiplied by a fraction in order to get the next term!!!!!!! Hope this helped

A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.

[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]

Given sequence is,

500, 100, 20......

Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]

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

Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]

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

Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]

And the given sequence will be geometric sequence.

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this is an easy question so whoever is the first one who gets all of them I will make you the brainlist queen or King ​

Answers

Answer:

1. 3.87

2. 7.07

3. 69.89

4. 70.87

Step-by-step explanation:

1) 3.87
2) 7.07
3) 69.89
4) 70.87

given the area of a rectangle is 208 square inches, and given the length is 26 inches, find the width

Answers

Answer:

8

Step-by-step explanation:

208/26 = 8

CHECK

26x8=208

LxW=A

Find the average rate of change of g(x)= -4x^3+1 from x= -4 to x = 1

Answers

Answer:

[tex]Rate = -52[/tex]

Step-by-step explanation:

Given

[tex]g(x) = -4x^3 + 1[/tex]

x = -4 to x = 1

Required

Determine the average rate of change

This is calculated using:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

Where

[tex]a = x = -4[/tex]

[tex]b = x = 1[/tex]

Calculating g(b):

g(b) = g(1)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(1) = -4(1)^3 + 1[/tex]

[tex]g(1) = -4*1 + 1[/tex]

[tex]g(1) = -4 + 1[/tex]

[tex]g(1) = -3[/tex]

Calculating g(a):

g(a) = g(-4)

If [tex]g(x) = -4x^3 + 1[/tex], then

[tex]g(-4) = -4(-4)^3 + 1[/tex]

[tex]g(-4) = -4*-64 + 1[/tex]

[tex]g(-4) = 256 + 1[/tex]

[tex]g(-4) = 257[/tex]

So, the formula:

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

becomes

[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]

[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]

[tex]Rate = \frac{-3 - 257}{5}[/tex]

[tex]Rate = \frac{-260}{5}[/tex]

[tex]Rate = -52[/tex]

HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6

Answers

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

What is the value of x?

Answers

35+70 = 105
180-105 = 75
x = 75

Find the value of x.
2x + 30
3x - 5
X - 15
X=

Answers

Answer:

x = 50

Step-by-step explanation:

Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:

3x + 30 = 3x - 5 + x - 153x + 30 = 4x - 204x - 3x = 30 + 20x = 50

Mrs. Culland is finding the center of a circle whose equation
is x2 + y2 + 6x - 4y – 3 = 0 by completing the square. Her
work is shown.
x2 + y2 + 6x + 4y - 3 = 0
x2 + 6x + y2 + 4y - 3 = 0
(x2 + 6x) + (12 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4
Which completes the work correctly?
(x - 3)2 + ( - 2)= 42, so the center is (3,2).
(x + 3)2 + (y + 2)2 = 42, so the center is (3, 2).
(x - 3)2 + (x - 2)2 = 42, so the center is (-3,-2).
(x + 3)2 + (y + 2)2 = 42, so the center is (-3, -2).

Answers

Answer:

centre of circle (h,k) is (-3,-2)

Option D is Correct.

Step-by-step explanation:

The centre of circle can be found from the equation as:

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

So, the steps then by Mrs Culland are:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4[/tex]

The next step will be:

[tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.

The general equation of circle is

[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]

In our case: [tex](x + 3)^2 + (y + 2)^2 = 16[/tex]

h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)

Option D is Correct.

Answer:

D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).

Step-by-step explanation:

PLSS HELP, show u work and I’ll give brainliest

Answers

Answer:

What's the question?

Step-by-step explanation:

Answer: Incomplete question?

Step-by-step explanation: is there any images attached? What is the question?

A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.

A. 40 meters
B. 20 meters
C. 4 meters
D. 10 meters

Answers

Answer:

b

Step-by-step explanation:

The length of the arc subtended by a central angle of 4 radians = 20 m

Diameter of the circle = 10 m

Radius of the circle = 5 m

Central angle in radians = 4 radians

The length of arc for the circle can be determined by the formula as formulated in equation (1)

[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]

From equation (1) we can write that

[tex]\rm L = 5 \times 4 = 20 \; m[/tex]

The length of the arc subtended by a central angle of 4 radians = 20 m

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PLEASE GUYS JUST HELPPP MEEE PLEASE

Answers

Answer:

Step-by-step explanation:

2. 27

3. 18

Answer:

s o w h a t y o u n e e d t o d o i s

Step-by-step explanation:

The corner grocery sells a 5-pound bag of potatoes for $3.00, a 10-pound bag of potatoes for $5.50, and a 25-pound bag of potatoes for $12.00. If Jolene needs exactly 40 pounds of potatoes, what combination should she buy to spend the LEAST amount of money?

Answers

Answer:

(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag

Step-by-step explanation:

Select the correct statement based on the relation shown above.


A)

The relation is a function because every element of the domain has exactly one corresponding element of the range.

B)

The relation is a function because every element of the range has been used.

C)

The relation isn't a function because not every element of the range has a corresponding element of the domain.

D)

The relation isn't a function because an element of the domain corresponds to two different elements of the range.

Answers

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

I need help answering this question

Answers

Answer:

[tex] x = 7 [/tex]

Step-by-step explanation:

Given that AB and BC are perpendicular, it follows that:

m<ABC = right angle = 90°

Thus:

[tex] 75 + (x + 8) = 90 [/tex] (angle addition postulate)

Solve for x

[tex] 75 + x + 8 = 90 [/tex]

[tex] 83 + x = 90 [/tex]

Subtract 83 from each side

[tex] 83 + x - 83 = 90 - 83 [/tex]

[tex] x = 7 [/tex]

ba + 3ca = -2

Solve for a

Answers

We have:

ba + 3ca = -2

Extract common factor "a":

a(b + 3c) = -2

Divide by the term (b + 3c):

[tex]a = \dfrac{-2}{b+3c}[/tex]

What is the solution for 7x-4=-18

Answers

Answer:

X=-2

add 4 to -18

divide -14 (from the previous step [-18+4]) by 7

-14/7 = -2 (from previous step [14/7 = 2, keep it negative])

X = -2 (x equals negative two)

You are given the following set of data. Its mean is 293.
225, 259, 306, 325, 350
If 25 is subtracted from each value, what will be the new mean?
A. 293
B. 268
C. 234
D. 200

Answers

Answer:

B. 268

Step-by-step explanation:

The new mean for the given data set can be obtained as 268.

How to calculate the average or mean?

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

The given data is 225, 259, 306, 325, 350.

And, its mean is given as 293.

Here, the number of elements is 5.

If 25 is subtracted from each value, new mean can be evaluated as below,

New mean = (Old mean × 5 - 25 × 5)/5

⇒ (293 × 5 - 25 × 5)/5

⇒ 293 - 25 = 268

Hence, the new mean can be obtained as 268.

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