Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent

Answers

Answer 1

9514 1404 393

Answer:

  A(m) = 10000×1.10^m; 10% monthly interest

Step-by-step explanation:

If t is the time in years and m is the corresponding time in months, then we have ...

  m = 12t

  t = m/12

So, the balance is ...

  A(t) = 10000×3.138^t

  A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m

  A(m) = 10000×1.10^m

The monthly interest rate is 10%.

_____

The monthly growth factor 1.10 is 1 more than the monthly growth rate.

  growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.


Related Questions

Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7

A) 4
B) 6
Ch 10.82

Answers

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

Distribute
-3/7 (21x - 7)

Answers

Answer:

-9x+3

Step-by-step explanation:

See the steps below:)

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Probability of red marbles = 8/25

Step-by-step explanation:

Complete question

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

a) The marble is red

Total number of marbles = 8+12+5 = 25

Probability of red marbles = total number of red marbles/Total marbles

Probability of red marbles = 8/25

I NEED HELP ASAP PLEASE

Answers

Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.

On Friday night, the owner of Chez Pierre in downtown Chicago noted the amount spent for dinner for 28 four-person tables.
95 103 109 170 114 113 107 124 105 80 104 84 176 115 69 95 134 108 61 160 128 68 95 61 150 52 87 136
(a) Find the mean, median, and mode.
(b) Do these measures of center agree? Explain.
(c) Make a histogram or dot plot.
(d) Are the data symmetric or skewed? If skewed, which direction?

Answers

Answer:

median: 104.5

mean: 102.4

mode: 95

Step-by-step explanation:

if c. p =rs 100, profit =rs 5, then find profit percent​

Answers

Answer:Profit Percent =5%

Step-by-step explanation:

Profit Percent is calculated as =Profit / Cost price x 100

Given that Profit=rs 5

Cost price =rs 100

Profit Percent =rs 5/rs 100 x 100

Profit Percent =5%

Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?

a) 3/15

b)1/15

c) 3/50

d) 1/4

Answers

Answer:

B.) 1/15

Step-by-step explanation:

10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15

A simple random sample of eight high school students' ACT scores gave the following data: What is a point estimate for μ, the mean test score for the population? a. A point estimate cannot be computed since the data for the whole population are not available. b. 235 c. 29.38 d. 4.84

Answers

Answer: c, is the correct option.

Step-by-step explanation:

The sample mean is the best point estimate for the population mean in a particular study.

Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]

Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]

Hence, a point estimate for μ, the mean test score for the population is 29.38

Thus , c. is the correct option.

There are 8 blue candies, 5 pink candies, 1 white candy, and 6 green candies in a candy jar. You reach in, without looking, and take one. What is the probability that you will choose a green candy? Report your answer as a percent.

Answers

Answer:

30%

Step-by-step explanation:

Find the total number of candies in the jar.

8 + 5 + 1 + 6 = 20

The probability of choosing a green candy is 6/20 = 3/10 = .3 = 30%

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
3v+2v–2v

Answers

Sorry if I’m wrong but I think it’s 3v

Help me please i need to hand this in

Answers

The answer is C

Hope this helps

Please explain it ASAP

Answers

Answer:

sorry but i don't understand the question

On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?

Answers

Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.

1) Whose stone hit the water second, and at what time?


2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?


3) Who had the higher initial height? What was it?

Answers

Answer:

that can't be the right graph because it is not purple and black or has the right information needed to answer this question

Step-by-step explanation:

Is there a graph that goes with this question?

I really want to help but this is not it

Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+

Answers

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

To learn more about polynomials click :

https://brainly.com/question/13199883

#SPJ7

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No

Answers

Answer:

use Ma.thway it helps

Step-by-step explanation:

Can someone help with this problem please.

Answers

x = 19 yards = 57 feet
The ball is 57 feet from the hole.

Explanation:
The distance from the tee to the hole is 181 yards.

Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards

1 yard = 3 feet
x = 19 yards = 57 feet

Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.

Answers

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Parker is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

Answer:60

Step-by-step explanation:

4*3*5

What’s the answer and how do you figure these out?

Answers

you need to find the value of x that will make 4x = 2x (or in mathematical terms parallel. therefore the answer would be 0 since there is no other possible answer. hope this helps <3 make sure you eat today !

2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?

Answers

Answer:

6.5

Step-by-step explanation:

You failed to include the choices

PLEASE HURRY

Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?

A. 1/216
B. 3/216
C. 1/64
D. 3/64

Answers

Answers:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The table represents the balance of Fernando’s loan, y, over a period several months, x. He used technology to create the scatter plot shown and determine the best fit equation to model the data: y = -440.91x + 22,060.70. Determine how long it will take to reach the given balances.

Answers

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

girlcome 5324611502
p:1234​

Answers

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Joey wants to read 2,000 pages by the end of the summer. He has already read 1,250 pages. The rest of his reading will be spread over 5 weeks, and Joey wants to read the same number of pages each week. How many pages will he need to read each week?

Answers

Answer:

150 pages

Step-by-step explanation:

want to read 2,000 pages

already read 1,250 pages

Number of pages left to read

= 2000-1250

= 750

Rest of the reading spread over 5 weeks

wants to read same number of pages each week

Number of pages that need to be read each week over 5 weeks

= Number of pages left to read / total number of weeks

=750 / 5

= 150

He will need to read 150 pages a week.

The sum of two numbers is 12 . Their difference is 2 what are two numbers ?

Answers

Answer: 7 and 5

Step-by-step explanation:

I HOPE THIS HELPS

STAY SAFE!!!

Answer:

7 and 5

Step-by-step explanation:

7+5=12

7-5=2

Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe

Answers

9514 1404 393

Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.

Someone, please help I will crown brainliest

Answers

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

The answer is think is 6

Determine whether the following system is consistent or inconsistent and if it is independent or dependent.

Y=2x-3 and 2x-2y=2​

Answers

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.

If 4, m & 9 are in continued proportion. Find the value of m.​

Answers

Answer:

M =6

Step-by-step explanation:

T2/T1=T3/T2

M/4=9/m

M^2=36

M=+ or - 6

As m is continued ignore - 6

Then get m =6

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