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Andreyy89
3 years ago
12

The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would t

ake 45.4 months to reach $6000. If, on the other hand, the balance is growing exponentially, f(x)=700(1+0.096)x where x represents the number of months, what would the balance be after 45.4 months? Round your answer to the nearest cent.
Mathematics
1 answer:
Fofino [41]3 years ago
5 0

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

f(x)=700(1+0.096)^{x}

Compute the value of f (x) for <em>x</em> = 45.4 as follows:

f(x)=700(1+0.096)^{x}

       =700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

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If JL=18. Then which statement is true?
kondor19780726 [428]

Answer:

JK = 18 also

Step-by-step explanation:

3 0
3 years ago
22% of adults would pay more for environmentally friendly products he randomly select 10 adults find the probability that the nu
Anettt [7]

Answer: 0.383 and 0.6671

Step-by-step explanation:

Take 22%, that is 0.22 to be probability of success.

That means "1-0.22 = 0.78" is the probability of failure.

When dealing with selection in probability mathematics, the combination equation is used.

Probability of selecting number 'r' as a successful outcome from a given number 'n' is given as

nCr * p^r * q^n-r

Where p is the probability of success= 0.22

q is the probability of failure= 0.78

n is the total number of sample =10

r is the varying outcome of number of success.

For the first question, number of success is asked to be everything more than 2, that is probability of choosing 3,4,5,6,7,8,9,10 people with a successful outcome (adults who will pay more for environmentally friendly product.)

Instead of going through the long process of checking probability of success for choosing 3,4,5,6,7,8,9,10 adults who will pay more, we can simply find the probability of choosing 0,1,2 adults who will pay more and subtract the answer from 1.

By doing this, we first check for probability of choosing 0 adult that will pay More and this is gotten by putting r=0 in our probability Formula. The Formula becomes

=10C0 * 0.22^0 * 0.78^10

=1 *1 * 0.0834= 0.0834

Hence, Probability of Choosing 0 adult that will Pay more is 0.0834

To Check for probability of choosing 1 adult that will pay more becomes

=10C1 * 0.22^1 * 0.78^9

=10 * 0.22 * 0.1069 = 0.2352

Hence, Probability of choosing 1adult that will pay more = 0.2352

To Check for the probability of choosing 2adults that will pay more becomes

=10C2 * 0.22^2 * 0.78^8

=45 * 0.0484 * 0.1370 = 0.2984

Therefore the total sum of choosing 0,1,2 adults that are willing to pay more becomes

= 0.0834+ 0.2352+ 0.2984 = 0.617

So to determine the probability of choosing more than 2 adults, that is, 3,4,5,6,7,8,9,10 adults that are willing to pay more, we subtract 0.617 from 1.

This gives 1-0.617 = 0.383

Hence, probability of choosing more than 2 people that are willing to pay more than 2 = 0.383.

To determine the probability of choosing between two and five people inclusive, we follow the same probability formular but r becomes 2,3,4,5 differently.

For probability of choosing 2 adults, we already calculated it to be 0.2984 earlier.

For probability of choosing 3 adults, it becomes

10C3 * 0.22^3 * 0.78^7

=120* 0.0106 * 0.1757 = 0.2235

For the probability of choosign 4 adults, it becomes

10C4 * 0.22^4 * 0.78^6

= 210 * 0.0023 * 0.2252 = 0.1088

For the probability of choosing 5 adults, it becomes

10C5 * 0.22^5 * 0.78^5

= 252 * 0.0005 * 0.2887 = 0.0364

Hence, the probability of choosing between 2 and 5 adults becomes

0.2984 + 0.2235 + 0.1088 + 0.0364 = 0.6671

5 0
3 years ago
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Afina-wow [57]

B and C are correct because you do basic PEMDAS and get 58 for both those expressions. If this is right could you possibly give me brainliest? Hope this helped.

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3 years ago
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Keith_Richards [23]
This can be solve using the formula:
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where F is the money after n years
P is the initial amount of money
i is the annual interest rate
n is the time in years
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F = ( 2200 / 3) ( 1 + 0.03)^6
F = $ 875.64 is the money each account earned after 6 years
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qwelly [4]

Subtract the fee from the total:

131- 35.50 = 95.50

Now divide that by the price per mile:

95.50/ 0.40 = 238.75

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