Austin deposits S800 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 6
years?

Answers

Answer 1

Answer:

$192.00

Step-by-step explanation:


Related Questions

Please help me please

Answers

Answer:

B. y = -4/3x + 22

Step-by-step explanation:

Parallel lines have the same slope.

Use the given point (6, 14) and point-slope form:

y - 14 = -4/3(x - 6)y = -4/3x + 8 + 14y = -4/3x + 22

Correct choice is B

Answer:

Solution given:

y=-4/3×x-1.......(1)

comparing above equation with y=mx+c

slope of line 1 is

m=-4/3

since the another line is parallel

slope is equal

m=m1=-4/3.

since it passes through (6,14)

we have

equation of a line is:

(y-y1)=m1(x-x1)

(y-14)=-4/3(x-6)

y=-4/3×x+4/3×6+14

y=-4/3×x+8+14

y=-4/3×x+22.

your option is b.y=-4/3×x+22.

Need help will give thanks or brainliest

Answers

Step-by-step explanation:

success

................

Answer:

6 cm

Step-by-step explanation:

Well let me explain... It's saying that side AB has a length of 6 cm and side BC has a length of 10 cm. So we can already start labeling the sides with their given length and actually solve for AC.

Well we don't really got much to say about AC but what we do know is that side AB and AC are equivalent. Why? Cause when there's always a triangle that has two equal sides but one side bigger, the triangle is a isosceles.

So we can say that side AB is (Δ) from the top of the triangle all the way to the left corner (6 cm). Then side BC will be from the left corner to the right corner (10 cm) and side AC will be from the top to the right corner (6 cm).

I need help asap please i forgot how to do it

Answers

the answer is 432 because 24 times 18 is 432

Your welcome ;)

Answer:

Step-by-step explanation:

it's the base * height , where height = 24 cm for this question & base =18 cm

24*18 = 432 [tex]cm^{2}[/tex]

If a1=10 and an+1=-5an-1 then find the value of a4

Please explain!

Answers

Answer:

[tex]a_4=-1271[/tex]

Step-by-step explanation:

We are given that:

[tex]a_1=10[/tex]

And:

[tex]a_{n+1}=-5a_n-1[/tex]

And we want to find:

[tex]a_4[/tex]

This is a recursive formula. So we can simply substitute in each value. For instance, a₂ will be:

[tex]a_2=a_{(1)+1}=-5a_{1}-1=-5(10)-1=-51[/tex]

Thus, a₃ will be:

[tex]a_3=a_{(2)+1}=-5a_2-1=-5(-51)-1=254[/tex]

Finally, a₄ will be:

[tex]a_4=a_{(3)+1}=-5a_3-1=-5(254)-1=-1271[/tex]

how to right a number in standerd form

Answers

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

Is 0.258 a rational number?

Answers

Answer:

Step-by-step explanation:

Yes it is a rational number

Yes, the decimal number is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The decimal number is the sum of a whole number and part of a fraction number. The fraction number is greater than zero but less than one.

The decimal number is 0.258.

A number decimal number is a terminating number. So, the decimal number is a rational number.

Yes, the decimal number is a rational number.

More about the rational number link is given below.

https://brainly.com/question/9466779

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There are letter tiles in a bag. Four A's, five B's, six C's and five D's. You select one tile, replace it, and then draw another. P( C and D)=____

Answers

Answer: 3/40

Step-by-step explanation:

Number of A's = 4

Number of B's = 5

Number of C's = 6

Number of D's = 5

Total number of letters tiles = 20

Probability of selecting C = 6/20 = 3/10

Probability of selecting D = 5/20 = 1/4

P( C and D)= 3/10 × 1/4 = 3/40

The graph of (1) Is shown. Which graph represents g(x) = S(2x)?

Answers

Do you have a picture

Can I have the slope and y intercept for 2y - 4x - 10 =0

Answers

Answer:

Slope = 2, Y-intercept = (0, 5)

Step-by-step explanation:

First, isolate y by moving all other terms to the other side of the equation.

2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5

The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.

Therefore, the slope is 2 and the y-intercept is (0, 5).

Answer:

slope=2 ,y-intercept=5

Step-by-step explanation:

2y-4x-10=0

2y=4x+10+0

2y=4x+10 .  divide both sides by 2

y=2x+5

........................

Answers

Answer:

1/5x

-Find 2 points on the graph, I used (0,3) and (5,2)

-RISE/RUN

-Rise 1 run 5

-1/5

-1/5x

Please help
Which line is perpendicular to 4y+3x=12?
A)3x+4y=8
B)y=-3x+8
C)y+4x=-3
D)8x-6y=18

Answers

Answer:

D) 8x - 6y = 18

Step-by-step explanation:

The general equation of a line is;

y = mx + c

m is the slope and c is the y-intercept

so for;

4y + 3x = 12

4y = -3x + 12

divide through by 4

y = -3/4x + 3

the slope here is -3/4

To get the other line, we divide -1 by the slope of the first line

This is because when two lines are perpendicular, the product of their slopes is -1

So the slope of the line we are looking for is -1 divide by -3/4 = 4/3

Let us take a look at option D

8x - 6y = 18

6y = 8x - 18

divide through by 2

3y = 4x - 9

divide through by 3

y = 4/3(x) - 3

So as we can see, we have our slope as 4/3 and this option is our answer

What would this expression be when simplified?

Answers

Answer:

24x^8

Step-by-step explanation:

Find m and n...

Help plz

Answers

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

What is the volume of the cone?

Answers

Volume = 3.14xradius squared x height so it’s 3.14 x 6x6 x8 = 904.32

Six fish with red stripes are swimming with three fish that are red with no stripes and seven fish that are yellow with white stripes. What is the probability of using a net to catch a fish with stripes or a fish that has red on it?

83%

100%

96%

69%

Answers

answer: 69%





explaintion:










What is the area of this face?

Answers

Answer:

Hello! answer: 180

Step-by-step explanation:

what I did to find answer is cut them into pieces I cut the m into 3 pieces and now just have to multiply my base x height so for the left one I did 12 x 6 = 72 for the middle I did 6 x 6 = 36 and for the right one I did 12 x 6 = 72 I add these up so...

72 + 36 + 72 = 180 so the surface area is 180! I hope this helps!

PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.

710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?

A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo

Answers

Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

What is the data set?

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.

1. Here 7/10 of the students would attend any of the dances held at the school.

[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]

Out of the 800 students, 288 do not like to attend dances after the football games.

Learn more about data set here;

https://brainly.com/question/15128975

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A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5

If a rectangle measures 12 meters by 16 meters, what is the length, in meters, of the diagonal of the rectangle?

Answers

Answer:

20 meters

Step-by-step explanation:

use the Pythagorean theorem:

[tex]a^2+b^2=c^2\\\\12^2 + 16^2 = c^2\\\\144 + 256 = c^2\\\\c^2 = 400\\\\c = 20[/tex]

Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?

Answers

Answer:

no because it has a different starting and ending point

Step-by-step explanation:

hope it helps!

For the first week of January, Kim Walker worked 45.25 hours. Kim earns 10.90 an hour. Her employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.

Answers

Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

the expression 2 log x - (3 log y + log z) is equivalent to

Answers

Answer:

[tex]2 log(x )- (3 log(y) + log(z) ) \\ \equiv log( {x}^{2} ) - log( {y}^{3} ) - log(z) \\ \equiv log( \frac{x {}^{2} }{ {y}^{3} + z} ) [/tex]

Plz help I’ll give u brainliest

Answers

Answer:

9

Step-by-step explanation:

All you have to do is subtract the temperatures once you get the final answer for them.

4 days, -7°C, = 43°C

5 days, -6°C, = 34°C

43 - 34 = 9

9°C = 9

~ LadyBrain

U
Find the center (h, k) and radius r of the circle with
the given equation.
(x - 2)2 + y2 = 9

Answers

Answer:

(2,0)

Step-by-step explanation:

A. 1/36
B. 1/18
C. 1/3
D. 1/6

Answers

Answer:

C

because it looks right

Answer:

1/36

Step-by-step explanation:

On the first cube, there is a 1/6 probability to roll a 1. On the second cube, theres is a 1/6 probability to roll a 6

Multiply the two fractions and it would equal 1/36

There would be a 1/36 probability.

If my answer is incorrect, pls correct me!

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

-Chetan K

If you roll two dice, what is the probability that the sum is 9?

Answers

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

What is the probability of getting a heads on a coin and then getting a 5 on a number cube?

Answers

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12

(please help!)
factor the polynomial
s²-14s+48

Answers

Answer:

[tex](s-6)(s-8)[/tex]

Step-by-step explanation:

We're looking for two numbers that add up to -14 and multiply to be 48:

Numbers: -6 and -8

Verify using FOIL:

[tex](s-6)(s-8)=s^2-6s-8s+48=s^2-14s+48\checkmark[/tex]

Answer:

(s-8)(s-6)

Step-by-step explanation:

s²-14s+48

What two numbers multiply to 48 and add to -14

-8*-6 = 48

-8+-6 = -14

(s-8)(s-6)

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

Answers

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

Formula:

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

Formula:

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

Step-by-step explanation:

Hope it's helpful to you dear frnd ☺️

In the parallelogram below, find the value of y

Answers

Answer:

[tex]108 + 3y = 180 \\ 3y = 180 - 108 \\ 3y = 72 \\ y = \frac{72}{3 } \\ y = 24[/tex]

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