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otez555 [7]
3 years ago
7

Isabella has a 22 once cola. She drinks 17 ounces. Enter the percentage of once's Isabella has left of her cola. Round your answ

er to the nearest hundred.
Mathematics
1 answer:
Elis [28]3 years ago
5 0
She has 77% left of cola
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What is the future value of an account if $3,000 is invested at a rate of 8% compounded monthly
Hatshy [7]

Answer:

≈$12601.72

Step-by-step explanation:

Use the compounded interest formula:

A = P(1+\frac{r}{n})^{nt}

In our case,

P = 3000

r = 8% = 0.08

n = 12 (months per year)

t = 18 (years in total)

Therefore, A ≈ $12601.72 (2.d.p.)

4 0
3 years ago
Mrs Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with t
Vilka [71]

Michelle's investment balance after 8 years is $10,790.48.

Kristen's investment balance after 8 years is $3,770.55.

Gabriella's investment balance after 8 years is $24,780.42.

Judy's investment balance after 8 years is $3618.62.

The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.

<h3>What are the formulas that can be used to determine the balance of the sisters?</h3>

The formula that can be used to determine the future value of the investment with compounding is:

FV = P (1 + r)^nm

Where:

  • FV = Future value
  • P = Present value
  • R = interest rate / number of compounding
  • m = number of compounding
  • N = number of years

Future value with continuous compounding =  : A x e^r x N

Where:

  • A= amount
  • e = 2.7182818
  • N = number of years
  • r = interest rate

<h3>What is Michelle's balance after 8 years?</h3>

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

<h3>What is Kristen's balance after 8 years?</h3>

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

<h3>What is Gabriella's balance after 8 years?</h3>

$3000 x e^0.032 x 8 = $24,780.42

<h3>What is Judy's balance after 8 years?</h3>

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: brainly.com/question/18760477

4 0
3 years ago
2/7 of 9/11 in simplest form
kozerog [31]
The answer is
23/10^2

6 0
3 years ago
Read 2 more answers
Please help asap<br><br> y= ?
Tanzania [10]

Answer:

y = 2|x| - 3

Step-by-step explanation:

We'll start with our parent function which is y = |x|. Notice that graph is translated down by 3 units. So, we'll add that:

y = |x| - 3

Also notice that the ordered pair (1, -1) is on the graph. |1| = 1, so a translation of -3 should take it to -2 and it should have been (1, -2). But, it's not so it must be that the graph is stretched/compressed. If you multiply every point by 2, it gives us the result we want. Say for example, f(1) = 2|1| - 3 = 2 - 3  = -1. We get the point (1, -1) which is exactly what we want. We write compressions as (where a is the compression/stretching constant):

y = a|x| + d

Our compression constant is 2, so our final answer is:

<em>y = 2|x| - 3</em>.

5 0
3 years ago
The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine
Ivenika [448]
For this case, the first thing you should do is define a variable.
 We have then:
 x: number of passengers remaining who can board the plane.
 We have as data:
 1) They can board up to 149 passengers
 2) There are 96 passengers currently aboard.
 Writing inequality we have:
 x + 96  \leq  149&#10;
 Answer:
 
An inequality that can be used to determine how many more people can board is:
 
x + 96  \leq  149
3 0
4 years ago
Read 2 more answers
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