Mathematics College

Trever invested $10,000 in an account that earns 8.5%
interest that is compounded monthly.
(a) Write an exponential model for the balance of the
account.
(b) Determine the amount of money in the account
after 15 years.

Answers

Answer 1

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Trever invested $10,000 in an account that earns 8.5% interest that is compounded monthly.

First, we need to calculate the monthly interest rate:

i= 0.085 / 12= 0.00708

Now, to calculate the future value of the investment, we need to use the following formula:

FV= PV*(1+i)^n

PV= initial investment

i= interest rate

n= number of periods

In this case:

FV= 10,000*(1.00708^n)

Finally, for 15 years:

n= 15*12= 180 months

FV= 10,000*(1.00708^180)

FV= $35,605.31

Related Questions

3^x=2 solve for x without using calculating utility?

Answers

x= 3^x=2

x= log 3^2

x= log2/log3

x= 0.630930

​

what is the order from least to greatest(38%,3/8,0.4,1/3,41%,0.33)

Answers

.33, 1/3, 3/8, 38%, .4, 41% is order from least to greatest

HELLPP DUE BY 1pm PACIFIC HELLPP ASAP

Answers

Answer:644.355

i tried ok

Step-by-step explanation:

I got you!

Since you dont know how many individual songs he wrote, we will represent that as x. Now, to find the total amount spent on buying "x" individual songs, you would have to multiply that by the 1.29$ it costs. Therefore, with the inclusion of the 9.99$ from the album, your equation is:

50 = 1.29x + 9.99

Surface area and volume

Answers

triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210

helppppppppppppppppppppp

Answers

Answer:

58 ft squared.

Step-by-step explanation:

The formula for area of a trapezoid is (h/2)(b1 + b2). Let's plug in the values:

(4/2) * (12+17) = 2 * 29 = 58ft^2.

Option 2! Hope this helps!!

Are Brainy tutors still a thing if not I’m gonna fail algebra

Answers

Answer:

I guess they are

Step-by-step explanation:

Answer:

yes they are but i cant get a hold of them srry can i have brainliest

Step-by-step explanation:

work out 4/5 - 1/5
work out 9/11 +5/11
work out 3/4 + 1/8

Answers

Answer:

4/5-1/5=6.0

9/11+5/11=1.27

3/4+1/8=0.875

A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?​

Answers

Answer:

1 1/3

Step-by-step explanation:

(x+12)/2 = 4-x

Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x

Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8

Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4

Step 4, divide by 3. x = 1 1/3

Answer:

the number is 20

Step-by-step explanation:

Equation: let x be the missing number

x + 12 ÷ 2 = x - 4

first step: multiply 2 on both sides to get rid of the division

x + 12 ÷ 2 ×  2 = x - 4 × 2

x + 12 = 2x - 8  

second step: add 8 on both sides:

x + 12 + 8 = 2x - 8 + 8

x + 20 = 2x

third step: subtract x on both sides:

x - x + 20 = 2x - x

20 = x

to check: substitute 20 for x

x + 12 ÷ 2 = x - 4

20 + 12 ÷ 2 = 20 - 4

32 ÷ 2 = 16

16 = 16

Which expression is equivalent to -6(3x-3)?
O 2x+4
2
-3X-6
O 3 6
-18.X+ 12
- 15x+4

Answers

your answer is right
-18x+4 is the correct answer

Find the ratio a : b , if it is given that ...
5a +3b =6b

Answers

Answer:

3:5

Step-by-step explanation:

5a + 3b = 6b

5a=6b-3b

5a=3b

a/b= 3/5

a:b=3:5

After a birthday only 1/4 cake ramains what fraction is equivalent 1/4

Answers

Answer:

2/8, 3/12, 4/24, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, etc.

Step-by-step explanation:

What is the value of x in the figure below?

Answers

3x+8=35

3x=35-8

3x=27

x=27/3

x=9

Please Help i give brainies

Answers

Step-by-step explanation:

[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]

.
* 6 cupcakes for $14
* 12 cupcakes for $30
* 24 cupcakes for $54
The unit price for the 6 cupcakes is
The unit price for the 12 cupcakes is
The unit price for the 24 cupcakes is
The lowest unit price is for

Answers

Answer:

≈$2.33$2.50$2.2524 cupcakes/$54

Step-by-step explanation:

Answer:

$2.33

$2.50

$2.25

24 cupcakes/$54

Step-by-step explanation:

Jackie says that 200 ÷ 18 = 25. Is Jackie correct? Explain.

Answers

Answer:

Wrong

Step-by-step explanation:

200%18=11.11111111

Answer: Jackie is incorrect

Step-by-step explanation:

Because 200/18 = 11.1111111111

HELLPPPPPPPPPPPPPPppppppppppp

Answers

Answer:

find the percentage equal to 70/80

PLEASE HELP ME!!

Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ.

n = 290, p = 1/4

Answers

So what I think the answer is n=290 p=1/4

Can someone help me!!!!
Also dont put the answers: 201.06 or 131.1 bc I've tried those. :)

Answers

Answer:

870.4 maybe???

Step-by-step explanation:

Answer:

16cm=200.96

12cm=113.04

Given: binom(119, 0.57)
What is the Expected Value?

Answers

Answer:

The expected value, or mean, of a binomial distribution, is calculated by multiplying the number of trials by the probability of successes. For example, the expected value of the number of heads in 100 trials of head and tales is 50, or (100 * 0.5)

Given APQR and ASTU, what is mZQ PLEASE HELP

Answers

Answer:

∠Q = 64°

Step-by-step explanation:

The triangles are similar because 4/14 = 8/28 = 6/21, all = 2/7

∠R = 46° was given

∠P = 70° because it corresponds to ∠S

since the sum of all the interior angles of a triangle = 180° then:

∠Q = 180° - 46° - 70° = 64°

A relation R on a set A is defined to be irreflexive if, and only if, for every x ∈ A, x R x; asymmetric if, and only if, for every x, y ∈ A if x R y then y R x; intransitive if, and only if, for every x, y, z ∈ A, if x R y and y R z then x R z. Let A = {0, 1, 2, 3}, and define a relation R2 on A as follows. R2 = (0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3) Is R2 irreflexive, asymmetric, intransitive, or none of these? (Select all that apply.) R2 is irreflexive. R2 is asymmetric. R2 is intransitive. R2 is neither irreflexive, asymmetric, nor intransitive.

Answers

Answer:

OMG IM ON THE SAME QUESTION

Step-by-step explanation:

if the price of a sweater is marked down from $80 to $68, what is the percent markdown?

Answers

Answer:

35%

Step-by-step explanation:

$28 less.

28 is 35% of 80. (28/80 = 0.35 which is 35%)

the percent markdown is 35%

Anyone can help with this

Answers

Answer:

C

Step-by-step explanation:

Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.

Answer:

C

Step-by-step explanation:

i used photomath and C was not the linear one!

What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD

HELPPPPPPP

Answers

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

Graham wrote the system of equations. 67 – 8y = -16 y = x+8 What is true about the system of equations that Graham wrote? It has no solution. B It has 1 solution It has 2 solutions It has infinitely many solutions​

Answers

Answer: A

Step-by-step explanation:

Answer:A

Step-by-step explanation:the answer is how many solutions

Please help me I always sleep late doing homework and I do not want to today begging ya. You don’t have to do 1,2,3

Answers

Answer:  5, 18, 20, 25, 27, 35, 38, 40, 48, 60, 90

Step-by-step explanation: Count lol

In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)

Answers

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that [tex]P(A) = 0.676[/tex]

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]

0.9112 = 91.12% probability that he/she attended classes on Fridays

Pls help it’s about angles

Answers

C. 24 and 90
90-66=24
Sorry if it’s wrong

Which mode of transportation did you choose? Why?

Answers

Answer:

land

Step-by-step explanation:

because,bus are more comfortable and easier other transportation are dangerous than land transportation ❤️

hope i helped u


Which of the following sets represents continuous data?
A. {1, 2, 3, ...)
B. (4,7)
C. {5, 13, 16, 20, 30)
D. {..., -9, -6, -3}

Answers

Answer:

option A is your answer okk

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