Abel currently has a balance of $10,986.50 in an account he has held for 25 years. He opened the account with an
initial deposit of $5,110. What is the simple interest rate on the account?
A. 4.0%
B. 2.1%
C.8.6%
D.4.6%

Answers

Answer 1
The answer would be B

Related Questions

What is the scale factor & the length of x & y?

Answers

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, thus

scale factor = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex] , then

x = [tex]\frac{2}{3}[/tex] × 9 = 2 × 3 = 6

y = [tex]\frac{2}{3}[/tex] × 7 = [tex]\frac{14}{3}[/tex]

How is team performance calculated in SAFE?

Answers

Answer:

By strengthening key elements of their safety and health programs, they also can improve their overall organizational performance. In addition to the social benefits, employers that use leading indicators to find and fix hazards can realize direct savings to their bottom line.

Hi can you please guide me through the steps to solve this problem? ​

Answers

Answer:

[tex]x = 27 \frac{1}{3} [/tex]

Step-by-step explanation:

The little square on ∠AOC indicates that it is a right angle, which means that ∠AOC= 90°

∠AOC= ∠AOB +∠BOC

90°= (x+8)° +2x°

x +8 +2x= 90

3x +8= 90 (simplify)

3x= 90 -8 (-8 on both sides)

3x= 82

x= 82 ÷3

[tex]x = 27 \frac{1}{3} [/tex]

Simplify the equation 4x+3y=45

Answers

Answer: y = -4/3x + 15

3y = 45 - 4x (subtract 4x from both sides)

y = -4/3x + 15 (divide both sides by 3)

Answer:

10.5=x

Step-by-step explanation:

subtract 3y from both sides the divide by 4x which gives you the answer 10.5=x

Is 32.5 greater or less than 30.8

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

32.5 is greater than 30.8

Answer: greater than

Step-by-step explanation:

32.5 is greater than 30.8

32.5-30.8=1.7

The difference is positive, which means 32.5 is greater than 30.8

EXTRA: 32.5 is 1.7 more than 30.8

Hope this helps!! :)

Please let me know it you have any question

In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4, or 5​, and the third digit could be any number except 4, 5, or 8. With this​ plan, how many different area codes are​ possible?

Answers

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

explain how you got the answer

Answers

Answer:

[tex]\huge\boxed{Center = (3,3),Radius = 2\sqrt{15} }[/tex]

Step-by-step explanation:

Given equation is

[tex]x^2 + y^2 -6x-6y -42 = 0[/tex]

Adding 42 to both sides

[tex]x^2 + y^2 -6x-6y = 42\\[/tex]

Completing squares

[tex]x^2 -6x+y^2 -6x = 42\\(x)^2 - 2(x)(3) +y^2 - 2(y)(3) = 42[/tex]

Adding (3)² => 9 and (3)² => 9 to both sides

[tex](x-3)^2+(y-3)^2 = 42+9+9\\(x-3)^2 + (y-3)^2 = 60\\(x-3)^2 (y-3)^2 = (2{\sqrt{15})^2}[/tex]

Comparing it with [tex](x-h)^2+(y-k)^2 = r^2[/tex] where Center = (h,k) and Radius = r

We get:

Center = (3,3)

Radius = [tex]2\sqrt{15}[/tex]

Can anyone help me with this math problem? There are 5 pharmacists where 2 work 35 hours a week, and another 2 work 40 hours a week. While the other is undetermined. Although, the average amount of hours worked among the 5 employees is 40 hours. Use algebra to figure out the value of the undetermined employee’s hours, aka x. By

Answers

Greetings from Brasil...

The expression that allows to calculate the average would be:

M = (A + B + C + D + E )/5

where A, B, C, D and E are the pharmacists....

A and B = work 35

C and D = works 40

E = ??

average = M = 40

M = (A + B + C + D + E )/5

40 = (35 + 35 + 40 + 40 + E)/5

200 = 150 + E

E = 200 - 150

E = 50

So, pharmacists E works 50h/week

Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form. (-4.5, 9.5), (-1, 2.5)

Answers

Answer:

-2x is the slope, the full equation is y=-2x+.5.

Step-by-step explanation:

y=-2x+.5

Answer: The slope is -2.

Step-by-step explanation: Using the slope using the equation (y2-y1/x2-x1) you can find the slope. So 2.5 would be y2, 9.5 would be y1. After you plug in your numbers to the correct variable your answer should be -2.

Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee
work?

Answers

Answer:

90 hours

Step-by-step explanation:

67 + 6 + 9 + 8 = 90 hours

Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*

Answers

Answer:

k = -3

k =5

Step-by-step explanation:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\[/tex]

[tex]5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\[/tex]

[tex]\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3[/tex]

A = (-1, 1) and B = (2, k) so:

[tex]d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}[/tex]

[tex]k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}[/tex]

63,416,831 to the nearest ten thousand help p

Answers

63,420,000 is to the nearest ten thousand

Use any method to determine whether the series converges or diverges. Give reasons for your answer. sin Choose the correct answer below
A) The series converges because, by the Alternating Series lest, un sin _are nonincreasing for n25 sin
B) The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C.
C) The series diverges because, by the Integral Test,sin dx is divergent -- 0 D.
D) The series converges because, by the Ratio Test, lim sin n-oo

Answers

Answer:

hello the series to your question is missing attached below in the solution is the missing series

Answer :  The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )

Step-by-step explanation:

Attached  below is the detailed solution of the question and the series is divergent because p = 1/5 < 1

Use the unit circle to find tan 30

Answers

Answer:

√3/3

Step-by-step explanation:

Memorize your unit circle.

30° is π/6 rad

tan(π/6) = √3/3

Simplify the equation -4d - 37 = 7d + 18

Answers

Answer:

d=-5

Step-by-step explanation:

-4d-37=7d +18

move the terms to its correct side

-4d-7d=18+37

calculate the like terms together.

-11d=55

divide both sides by -11. both of the negavtive (-11) will cancel out and become d on the left and on the right 55 will be divided by -11 = -5. the 5 is negative because there's a negative -11 if there were a postive 11 it will be 5 instead of D=-5

-4d - 37 = 7d + 18
-4x - 7d - 37 = 18
-11d - 37 = 18
+ 37 +37
-11d = 55
/-11 /-11
d = -5
So the answer is -5.

The product of two positive rational numbers is greater than either factor.is sometimes true

Answers

Answer:

It is sometimes true

Step-by-step explanation:

Fractions are positive rational numbers, and 2*1/2 is 1, which is less than 2. Here's a picture that might help.

Determine which of the four levels of measurement​ (nominal, ordinal,​ interval, ratio) is most appropriate?
Monthly Temperatures:
a. 61(degrees)F,
b. 66(degrees)F,
c. 71(degrees)F,
d. 76(degrees)F,
e. 81 (degrees)F

Answers

Answer:

Interval Data

Step-by-step explanation:

Interval data are classified as such because they have a definite ordering and the differences between data sets can be determined and measured. This is applied in the measurement of temperature readings.

The data provided in the example can be ordered from lowest to highest and vice versa and the differences between the temperature ranges can be measured. For example, the difference between 76 degrees fahrenheit and 71 degrees fahrenheit is 5 degrees fahrenheit. However, comparisons in the form of ratios are not done with the temperature readings in the interval scale.

Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a
reflection. What information does Jada need to provide to communicate the transformations she has used to get from the first figure to
the last?

Answers

Answer:

The answer is below

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, translation, reflection and dilation.

When the polygon is translated and reflected, for the translation, Jada needs to provide the distance and direction of the vertical movement (up or down) and the distance and direction of the horizontal movement (left or right) ehile for the reflection, Jada needs to provide the line of reflection so as to know which transformation is applied.

Answer:

the original figure before a transformation has been performed.

Step-by-step explanation:

plz pick me brainliest

Help me please thank you

Answers

Answer: 55°

Step-by-step explanation: y and x are supplementary and equal 180°. Triangles also equal 180° so subtract the two angles you know and x is 125°. 180 - 125 = 55°

Answer:

y = 55°

Sum of the interior angles of a triangle = 180°

Therefore, x + 25°+30° = 180°

or, x + 55° = 180°

or, x = 180°-55°

or, x = 125°

Now, x + y = 180° ( straight angles)

125°+y = 180°

y= 55°

(h) Suppose we sample a new city whose particulate is 13 ppm. If reasonable, create a 95% interval for the predicted rate of childhood asthma in this city. If not reasonable, explain why.

Answers

Answer:

Explanation below

Step-by-step explanation:

First, it seems you are trying to get the 95% confidence interval (not just interval) for the predicted rate of Childhood Asthma in the city.

This city's particulate is 13 ppm.

The answer is "not reasonable".

Why?

This is because no data is given on the children in the city. 13 ppm is the value for the city's particulate; it is not the mean value for the predicted rate of childhood asthma in the city. If this mean value were available, the 95% confidence interval would be created around this mean.

Graph the exponential function.
f(x)= -(5/2)^x

Answers

Answer:

  see below

Step-by-step explanation:

Your spreadsheet or graphing calculator can do this for you.

__

If you want to do it by hand, pick a few values for x, compute the corresponding values of f(x), plot those points, and draw a smooth curve through them. You know the horizontal asymptote is y=0, and the whole graph is in the 3rd and 4th quadrants, since the exponential function has been reflected over the x-axis by the leading minus sign.

What’s an equivalent expression to 3/5 - 13/5

Answers

Answer:

-2

Step-by-step explanation:

Name the ray that is opposite AD?

Answers

Answer:

I think it's AB

Step-by-step explanation:

Since its the opposite of AD

If an angle’s measure is 90° then it is said to be a ______angle?

Answers

Answer:

Right Angle

Step-by-step explanation:

Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.

Answer:

[tex]\boxed{\bold{\huge{\boxed{Right}}}}[/tex]

Step-by-step explanation:

If an angle’s measure is 90° then it is said to be a Right angle.

14. Can you devise a plan for finding the domain and the range of the relation shown in the graph? Explain.​

Answers

Answer:

  yes

Step-by-step explanation:

The domain is the set of x-coordinates of the points. The range is the set of y-coordinates of the points.

The plan would be to read and list the x-coordinates and the y-coordinates and use those lists as the answer to the question of domain and range, respectively.

In​ randomized, double-blind clinical trials of a new​ vaccine, were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second​ dose, of subjects in the experimental group​ (group 1) experienced as a side effect. After the second​ dose, of of the subjects in the control group​ (group 2) experienced as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of​ significance?

Answers

Answer: YES.

the evidence supports this claim.

Step-by-step explanation:

We have that from the complete information,

H0: p1 = p2

Ha : p1 > p2

N1 = 654, P1 = 103/654

N2 = 615, P2 = 52/615

First we have to check the states of typicality that is if n1p1 and n1*(1-p1) and n2*p2 and n2*(1-p2) all are more prominent than equivalent to 5 or not

N1*p1 = 103

N1*(1-p1) = 551

N2*p2 = 52

N2*(1-p2) = 563

All the conditions are met so we can utilize standard typical z table to direct the test

Test measurements z = (P1-P2)/standard mistake

Standard blunder = √{p*(1-p)}*√{(1/n1)+(1/n2)}

P = pooled extent = [(p1*n1)+(p2*n2)]/[n1+n2]

After replacement

Test measurements z = 3.97

From z table, P(Z>3.97) = 0.000036

Thus, P-Value = 0.000036

As the got P-Value is not exactly the given noteworthiness 0.01

We reject the invalid speculation

Thus, we have enough proof to help the claim.that a higher extent of subjects in bunch 1 experienced drowsiness.

cheers I hope this helped !!

Which function is represented by the graph

Answers

Answer:

I think its C

f(x) = -|x-4| + 3

Divide the following numbers. 4,084 / 1,016

Answers

The answer is 4 while rounding. If you need the exact answer, it is 4.019685039370

The correct answer that is not rounded is 4.01968504

mrs. diaz has 9 eggs. she cooks 5 eggs for breakfast. how many eggs are left? which model shows the problem?

Answers

Answer:

B

Step-by-step explanation:

Because 9 = 5 +4

Classify the polygon. Then determine whether it appears to be regular or not regular. heptagon; regular octagon; regular nonagon; not regular octagon; not regular

Answers

Answer: D) Octagon; not regular

Explanation:

There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.

This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.

In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.

Other Questions
Kouba Corporation is working on its direct labor budget for the next two months. Each unit of output requires 0.52 direct labor-hours. The direct labor rate is $9.00 per direct labor-hour. The production budget calls for producing 1,700 units in April and 1,600 units in May. The company guarantees its direct labor workers a 40-hour paid work week. With the number of workers currently employed, that means that the company is committed to paying its direct labor work force for at least 960 hours in total each month even if there is not enough work to keep them busy.Required Construct the direct labor budget for the next two months. (Round your answers to 2 decimal places.) April May Required production in units Direct labor-hours per unit Total direct labor-hours needed Total direct labor-hours paid Total direct labor cost A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax? Granite Enterprises acquired a patent from Southern Research Corporation on January 1, 2021, for $3.7 million. The patent will be used for five years, even though its legal life is 20 years. Rocky Corporation has made a commitment to purchase the patent from Granite for $170,000 at the end of five years. Compute Granite's patent amortization for 2021, assuming the straight-line method is used. You are CEO of Eastco, and you recently paid $58,000 or about 2x revenue (well under industry average) to purchase Westco, which makes a product nearly identical to yours. This move will allow you to operate in both regions (East and West) of the country. If you combine the markets, the total Fixed Cost would be $11,000 per month, and your larger purchase size will allow you to advantageous terms for your raw materials, meaning VC will be $4 per unit. Demand and MR in the combined market is as follows: Qd = 600 - 6P MR = 100 - 0.333Q A) Compute your profit in the combined market. Additional analysis shows that demand and fixed costs are different in the 2 regions. The West has the following demand and Mg: Qd = 300 - 4P MR = 75 - 0.5Q Fixed costs associated with operating in the West are $5000/month. While the East is a less price sensitive market: Qd = 300 - 2P MR = 150 - Q Fixed costs associated with operating in the East are $6000/month. The area manager from the East suggests you use a strategy that charges each market a separate price. If you operate in separate markets, the VC associated with each unit is $5. B) Calculate your profits using this strategy. What is this strategy called? C) What strategy do you suggest in the Long Run? Solve for x with work Corporation has the following data as of December 31, : Total Current Liabilities $36,210 Total Stockholders' Equity $ ? Total Current Assets 58,200 Other Assets 36,800 Long-term Liabilities 139,630 Property, Plant, and Equipment, Net 206,440 Compute the debt to equity ratio at December 31, . (Round your answer to two decimal places, X.XX.) 5. Tia invests $2,500 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 5 years? Look at the concept summary if you forgot the formula for compound interest. Matter that settles at the bottom of a river or any body of water is called: write a letter to your friend telling him or her about what you intend doing or your plans after leaving school. A military organization is very structured. Ranks are very clear, defining who can give and who must take orders. This is an example of The preterite (el pretrito) is one of two _________ tenses in Spanish.El pretrito es uno de dos tiempos ________ en espaol.Pretrito Regular (-ar/-er/-ir) y (-car/-gar/-zar) For the past six years, the stock price of Slippery Rock Mining has been increasing at a rate of 6.6 percent per year. Currently, the stock is selling for $73 per share and has a required return of 9.1 percent. What is the dividend yield? Review the Recommended Food Portions chart. Why do you think that dairy is the only food group in which boys and girls need the same amount? solve for x ( need asap ) 14. A recipe calls for 350 grams of flour. You put in 0.4 kilograms. Did you use the rightamount, too much, or too little? Choose the sentence that uses the correct punctuation. * This museum is gigantic! "Anna exclaimed. "This museum is gigantic! Anna exclaimed." "This museum is gigantic"! Anna exclaimed. "This museum is gigantic!" Anna exclaimed. Map boundaries that are often follows straight lines are referred to as Balance the following oxidation-reduction reaction and indicate which atoms have undergone oxidation and reduction.____Cu + ____HNO3 ----> ____Cu(NO3)2 + _____NO2 + _____H2O 7.777 rounded to the nearest hundreths Who is responsible for writing the transcripts of the proceedings in the courtroom? O bailiff O court reporter O general counsel O law clerkpost full test if you have please