An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?

Answers

Answer 1

Answer:

$91 is the answer.

Step-by-step explanation:

R = 6%

P = $70

T = 5 year

now

I = PTR/100

=(70×5×6)100

= 2100/100

= $21

So,

I = A-P

21 = A-70

21+70 = A

so, A = $91


Related Questions

carlos and his crew build small wooden packing crates at a rate of 52 cates per hour how many crates can they build in 6 1/2 hours​

Answers

Answer:

338 crates

Step-by-step explanation:

Find how many crates they can make by multiplying 52 by 6.5:

52(6.5)

= 338

So, in 6.5 hours, they can make 338 crates

Write the standard equation of the circle in the graph.

Answers

Answer:

[tex](x-4)^2 + (y+3)^2 = 16[/tex]

Step-by-step explanation:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where [tex](h, k)[/tex] is the center of the circle and [tex]r[/tex] is the radius

simplify x^0 y^-3/x^2y^-1

Answers

The answer is 1/x^2y^2

The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]

We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]

Hence, the expression becomes

[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]

Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]

Using this rule, we have

[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]

[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]

[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]

Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]

Help please I don’t know how to do this

Answers

[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]

can anybody help me please? I'll give brainlest for correct answer​

Answers

Answer:

1) 40 degrees

2) 140 degrees

3) 110 degrees

4) 70 degrees

5) 70 degrees

Explanation:

Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.

Let me know if my answer is correct for the other users that will see this message. Thank you!

-kiniwih426



Write the equation of the line in fully simplified slope-intercept form.
2
-12-11-10-9-8-7-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12

Answers

Answer:

[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]

Step-by-step explanation:

To find equation of a line we will consider two points through which the lines passes .

Let it be  ( -5 , 0 ) and ( 0 , 4 )

Step 1 : Find the slope

             [tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]

Step 2 : Equation of the line

             [tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]

We will use the second point ( 0. 4)

                     [tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]

What is the value of the angle X in the following diagram ? 
A)60 degree
B)100 degree
C)120 degree
D)140 degree
Any help ?! plz​

Answers

Answer:

D

[tex]x + 40 \degree = 180\degree \\ x = 180\degree - 40\degree \\ x = 140\degree[/tex]

Answer:

x = 140°

Step-by-step explanation:

x and 40° are adjacent angles and sum to 180° , then

x + 40° = 180° ( subtract 40° from both sides )

x = 140°

de acuerdo a la sucesion 11,18,25,32... encuentra el término que se ubica en la posición 50​

Answers

Answer:

354.

Step-by-step explanation:

De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50​ se debe realizar el siguiente razonamiento lógico-matemático:

32 - 25 = 7

25 - 18 = 7

18 - 11 = 7

Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:

(7 x 49) + 11 = X

343 + 11 = X

354 = X

Por lo tanto, el término que se ubica en la posición 50 es 354.


which point best represents 55? Explain your answer.

Answers

Best represents 55? None of these points are 55. The closest answer I can get you is point D on 11 because 55 is divisible by 11...(5)

Answer:

d is the corrext answer :)

What is the slope of a line parallel to

a)-1/2
b)-2
c)1/2
d)2

Answers

Answer:

parallel lines has equal gradient

answer

c ,1/2

Answer : Would be C wich is one half

h(-7)=

See graph below to help solve.

Answers

h(-7)
-h*7
-7h
and the right answer -7h

In a blind ESP test, a person correctly identifies whether a tossed coin comes
up heads or tails in 63 trials out of 200. Using the normal approximation
(without the continuity correction), which of the following would you use to
calculate the probability of correctly identifying 63 or more?

Answers

Answer:

C

Step-by-step explanation:

the probability of the outcome being greater than 63 is x≥63

What's the Error? Explain the error. Find the correct solution.
12-(-8)= 4

Answers

Step-by-step explanation:

12-(-8)=4

12+8=20

because - - sign +

Help?!??? What is the distance!
Trig. Ch.7.1

Answers

9514 1404 393

Answer:

  100 m

Step-by-step explanation:

One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -110°20' -13°20' = 56°20'

The law of sines can be used to find the length of side AB:

  AB/sin(C) = BC/sin(A)

  AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)

  AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m

The distance AB across the river is about 100 m.

I have been stuck on this forever plz help
What is the surface area of this cylinder

Answers

Answer:

1865.16 m^2

Step-by-step explanation:

first let 's find radius of a circle

radius=diameter/2

=18/2

=9 m

area of a cylinder=2πrh+2πr2

=2*3.14*9*24 + 2*3.14*(9)^2

=1356.48 + 2*3.14*81

=1356.48 + 508.68

=1865.16 m^2

Answer:

1866.11 m²

Step-by-step explanation:

Formula = 2πrh + 2πr²

Surface area = 2 * 3.14 * 9 * 24 + 2*3.14* 81 ≈ 1866.11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A company makes storage containers with sheet steel walls. The containers are shaped like rectangular prisms, as shown below. If the company is going to make 10 containers, how many square meters of sheet steel will be needed

Answers

Answer:

[tex]2360m^2[/tex] of sheet steel are needed

Step-by-step explanation:

Given

The missing dimensions are:

[tex]Length = 5m[/tex]

[tex]Width = 6m[/tex]

[tex]Height = 8m[/tex]

[tex]n=10[/tex] --- number of containers

Required

The surface area of all containers

First, we calculate the surface area (A) of 1 container

[tex]A=2*(Length * Width + Length * Height + Width * Height)[/tex]

[tex]A=2*(5m* 6m+ 5m* 8m+ 6m * 8m)[/tex]

[tex]A=2*(30m^2 + 40m^2 + 48m^2)[/tex]

[tex]A=2*(118m^2)[/tex]

[tex]A=236m^2[/tex]

The surface area of 10 is:

[tex]Area = 10 * A[/tex]

[tex]Area = 10 * 236m^2[/tex]

[tex]Area = 2360m^2[/tex]

Which values for A and B will create many solutions for this system of equations? 4x-Ay=15 -4x+6y=B

Answers

Answer:

A = 6; B = -15

Step-by-step explanation:

To have an infinite number of solutions, both equations must be the same.

4x - Ay = 15

-4x + 6y = B

The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.

4x - Ay = 15

4x - 6y = -B

For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.

4x and 4x are equal.

-Ay must equal -6y

-Ay = -6y

-A = -6

A = 6

15 must equal -B

-B = 15

B = -15

Answer: A = 6; B = -15

PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!

Answers

Answer:

-2 and 0

Step-by-step explanation:

EZ

Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)​

Answers

Answer:

78.54inches²

Step-by-step explanation:

Area of a circle=πr²

radius=½ diameter

=5inches

=π×(5inches)²

=π25inches²

=78.539816339744830inches²

rounded to the two decimal places=78.54inches²

6,12,24,48 Find the 11'th term

Answers

Answer:

614

Step-by-step explanation:

This pattern is being multiplied by 2

keep multiplying by two till you get to the 11th term

6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144

6144 is the 11th term.

Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Answers

Answer:

the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

Step-by-step explanation:

The computation of the standard deviation of the speeds of cars is shown below;

The z score for the top 1% is 2.326

So,

= (75 - 61) ÷ standard deviation = 2.326

Standard deviation is

= 14 ÷ 2.326

= 6.0 miles per hour

Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour

A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])

Answers

Answer:

4.56% of the deliveries are likely to be outside the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average weight was 95.0 grams. The standard deviation was 0.25 grams.

This means that [tex]\mu = 95, \sigma = 0.25[/tex]

What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?

Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.

The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94.5 - 95}{0.25}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

2*0.0228 = 0.0456

0.0456*100% = 4.56%

4.56% of the deliveries are likely to be outside the specification limits.

A rectangular pyramid with a base of 9 units by 4 units and a height of 7 units.
Which is the correct calculation for the volume of the pyramid?
One-third(36)(7)= 84 units3
One-half(36)(7) = 126 units3
36(7) = 252 units3
36(7)(3) = 756 units3

Answers

The answer is A.

Hope this helps! can i have brainliest lol

Answer:

a

Step-by-step explanation:

I’ll give brainliest

Answers

Answer:

y = 1.19x

Step-by-step explanation:

y is the dependent variable (total cost)

x is the independent variable (number of pounds)

What is the answer to this

Answers

Answer:

김수아 임니다 올드 그란 파

Step-by-step explanation:

미안하지 미안하지 미안하지 미안하지

ACTIVITY 1 Directions: Interpret these circle graphs

A. The pie graph below shows what a normal human body is made of.


Questions:

1. As shown in the graph,what composes the human body?

2. Which makes up the greatest part of the human body? the least?

Answers

Step-by-step explanation:

1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)

2) muscle makes up the greatest part and the minerals makes up the least.

hope it heals u.

make me brain list Pls.

The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease the wait time. To test his claim, he initiates the new system at his restaurant and measures the wait time for 45 randomly selected orders and finds the sample mean to be 81.9 and a sample standard deviation of 17.3.
1. Has the wait time significantly decreased?
2. Write the appropriate hypothesis statements for this test.
3. Also what is the t-test and p-value?

Answers

Answer:

1.) No ;

2.) - 0.931

3.) 0.1785

Step-by-step explanation:

Given :

μ = 84.3 ; xbar = 81.9 ; s = 17.3

H0 : μ = 84.3

H1 : μ < 84.3

The test statistic :

(xbar - μ) ÷ (s/√(n))

(81.9 - 84.3) / (17.3/√45)

-2.4 / 2.5789317

= - 0.9306

= - 0.931

Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44

Using the Pvalue calculator :

Pvalue(-0.9306, 44) = 0.1785

Using α = 0.05

The Pvalue > α

Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3

The secret number has 5 digits: 3, 9, 1, 6, 2
The digit in the tens place is a prime number
The digit in the ten thousands place is 3 times the digit in the tens place
The secret number rounds to 90,000.
The difference of the digits in the hundreds place and ones place is 5.
The digit in the hundreds

Answers

92631

thats the answerrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

the answers is 92631

plz mark me as a brilliant

Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are interested in determining if voter party loyalty has changed since 1992. During the 1992 election, the proportion of self-proclaimed Republicans who voted for George H. W. Bush was 0.924. During the 2012 election, in a survey of 277 Republican voters, 213 indicated that they had voted for Mitt Romney. The 90% confidence interval for this proportion is ( 0.7273 , 0.8106 ). What is the best conclusion you can make from this information that is listed below

Answers

Answer:

The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.

is it possible to make a triangle with a measure of 1o m 6m and 7m​

Answers

Answer:

Step-by-step explanation:

So basically you

Then you have to

And finally the answer is

Other Questions
Qu tipos de contaminantes identificamos?cul de ellos tiene mayor concentracin de los gases?Qu sucedi con la calidad del aire en el inicio de la pandemia? Y como va en la esta ltima semana de la pandemia? okk... so im starting highschool next year...T^Tand i need tips to survive pleasee...basically things to watch out for... like a whole run down basically ill give Brainliest! ofc Sally Fuller is a buyer for GWA publishing company. Her job is to purchase supplies and services for the printing of technical manuals. Her brother sets up a printing company, and Sally hires him to print most of these manuals for GWA. However, rather than actually printing the manuals, her brother hires another printer to do the work, then sells the printed manuals to GWA at a 50 percent markup. As a result, his prices are much higher than the other printers who serve GWA. This type of scheme is most likely a: Group of answer choices . What was one negative effect of Triangular Trade? _____________ is the exchange of raw materials, manufactured products, and slaves among Europe, Africa, and America.1, market economy2, mercantilism3, supply/demand4, triangle trade Genent Company manufactures tires. Some of the company's data was misplaced. Use the following information to replace the lost data: Actual Results Flexible Budget Variances Flexible Budget Saiesminus-Volume Variances Static BudgetUnits sold 495,000 495,000 453,750Revenues $185,150 $4,400 F (A) $6,160 U (B)Variable costs (C) $880 U $69,780 $10,300 F $88,080Fixed costs $36,430 $3,770 F $40,200 0 $40,200Operating income $78,060 (D) $70,770 (E) $66,630Required:What is the total sales-volume variance (E)?a. $4,140 favorableb. $14,960 favorablec. $14,960 unfavorabled. $7,290 unfavorable Ill mark brainliest A square is a polygon with 4 sides is an example of? Please answer properly. How does the expression the breath/hot on her back (lines 5 and 6) relate to the mood of the poem?A.The hyperbole suggests Benoits lead is weakening.B.The irony reveals the struggle Benoit faces as she runs.C.The irony explains why Benoit continues to challenge herself.D.The hyperbole emphasizes the tension within the pack of runnersneed help asap Find the surface area of the regular pyramid. Given the points Q(-3, -4) and R(2, 0), find the coordinates of the point P on directed line segment QR that partitions segment QR such that the ratio of QP to PR is 2 Which equation does not describe a linear function?y = 7y = 2x2 52y = 3x - 94x 6y = 13 Please help me, please and thank you it would mean a lot. natural selection selects ___________ less fit individuals .natural selection selects ____________ viable individuals . Help pls , will give brainliest! Arrow C in Figure 27-1 is best described as ____.a.solar radiationc.heat trapped near Earth's surfaceb.carbon dioxide in the atmosphered.chlorofluorocarbonsPlease select the best answer from the choices providedABCD For the function y = -2x + 4, the input is 3. What is the output? What is the measure of arc XZ? give your own opinion on human trafficking in south africa