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1 year ago

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Mathematics

1 answer:

Arada [10]1 year ago

8 0

The exponential function f(x) can represent growth or decay

The value of f(14) is 226.07

<h3>How to determine the value of f(14)?</h3>

The given parameters are:

f(-2) = 25 and f(7) = 85

An exponential function is represented as:

f(x) = ab^x

So, we have:

ab^-2 = 25

Also, we have:

ab^7 = 85

Divide both equations.

This gives

b^9 = 3.4

Take the 9th root of both sides

b = 1.15

Recall that:

ab^7 = 85

This gives

a* 1.15^7 = 85

Solve for a

a = 31.95

So, the exponential function is:

f(x) = 31.95 * 1.15^x

Substitute 14 for x

f(14) = 31.95 * 1.15^14

f(14) = 226.07

Hence, the value of f(14) is 226.07

Read more about exponential functions at:

brainly.com/question/11464095

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The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly paym

Alja [10]

Inga needs 3 more years to pay off the whole amount.

<h3>What is the monthly payment?</h3>

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76

Remaining balance after payment (5 years) = 6563.76-3281.99 = 3281.88

Remaining balance after payment (6 years) =3281.88-3281.88 = 0

Hence, Inga needs 3 more years to pay off the whole amount.

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7 0

1 year ago

7/8 as a decimal<br><br> I got: .807 (repeating)

yan [13]

Answer:

the answer is .875

Step-by-step explanation:

u were close!! keep trying

8 0

2 years ago

There are 500 sheets of paper in one ream the counter copier says that 23500 copies have been made how many teams of paper were

levacccp [35]

23,000 because when you subtract 500 from 23,500 you get 23,000. ❤️

7 0

2 years ago

Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%

balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

$A=A_{o}e^{-0.0001211.t}$ (1)

Where:

$A$ is the final amount of Carbon- 14

$A_{o}=$ is the initial amount of Carbon- 14

$t$ is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 $A$ is $19\%=0.19$ , assuming the initial amount of Carbon-14 $A_{o}=$ is $100\%$ :

$A=0.19A_{o}$ (2)

This means: $\frac{A}{A_{o}}=0.19$ (2)

Now,finding $t$ from (1):

$\frac{A}{A_{o}}=e^{-0.0001211.t}$ (3)

Applying natural logarithm on both sides:

$ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})$ (4)

$ln(0.19)=-0.0001211.t$ (5)

$t=\frac{ln(0.19)}{-0.0001211}$ (6)

Finally:

$t=13713.717years$ This is the age of the paintings and the option that is nearest to this value is C. 13839 years

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2 years ago

Find the square. (c + 1)2

SashulF [63]

If your question was (c+1)²...

(c+1)(c+1)

c² + c + c + 1

c² + 2c + 1

7 0

2 years ago

Read 2 more answers