1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
9

You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the bala

nce y (in dollars) after t years
Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer: y = 500 * ( 1 + 0.75%) ^ (t * 12)

Step-by-step explanation:

Formula for calculating the amount of money in an account as a result of compound interest is:

Balance = Amount * ( 1 + rate) ^ no. of periods

This interest is compounded monthly so has to be converted to a monthly rate:

= 9% / 12

= 0.75%

t is in years so has to be converted as well to months:

= t * 12 months

Function is therefore:

y = 500 * ( 1 + 0.75%) ^ (t * 12)

You might be interested in
A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from a bag. What is the theo
alexandr1967 [171]

Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

1/3

7 0
3 years ago
Read 2 more answers
A 16-ounce bag of cereal costs about $2.88. What is the unit rade of the cereal?
VLD [36.1K]

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

4 0
2 years ago
Read 2 more answers
What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​
lbvjy [14]

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,  

27

185

​

 should be subtracted from 3x

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.

8 0
2 years ago
Marina earns $15 for 1 hour of babysitting, $23 for 2 hours of babysitting, and $31 for 3 hours of babysitting. Write a function
Alja [10]
This isn't proportional 

5 0
2 years ago
Read 2 more answers
Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying
Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

\frac{1}{15}-\frac{1}{x} = \frac{1}{35} <em>// multiply by 105x both sides.</em>

105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35} <em>// simplifly</em>

7x - 105 = 3x<em> //substract 3x and add 105 in both sides</em>

7x - 3x - 105 + 105 = 3x - 3x + 105 <em>// solve</em>

4x =  105 <em>//</em> <em>divide by 4 in both sides</em>

\frac{4x}{4} =  \frac{105}{4} <em>// solve</em>

x =  26.25

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

7 0
2 years ago
Other questions:
  • chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1
    10·1 answer
  • Help!?!?!?!?!?!!!?!??!??!?!??!?!?!?!?!!??!!?!?!?!??!??!?????!???!???!??!???!?!?!!?????!?!???!??!??????!??!??!?
    15·1 answer
  • Find the value of x in each figure
    10·1 answer
  • If a triangle has a height of 12 inches in the base of 5 inches what is the area
    12·1 answer
  • What's the value of x to the nearest tenth? Question 12 options: A) 7.9 B) 9.7 C) 5.9 D) 8.1
    15·1 answer
  • Will sides 4cm,5cm,13cm make a triangle ?
    8·1 answer
  • I need help ASAP!!!!!
    9·2 answers
  • !!!! PLEASE HELP !!!!!!
    5·1 answer
  • I need help!!!!! Again
    12·1 answer
  • If x​=68 find the measures of angles​ 1, 2, and 3.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!