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kodGreya [7K]
3 years ago
13

An account earns simple interest. $300 at 4% for 3 years a. Find the interest earned. $ b. Find the balance of the account. $

Mathematics
2 answers:
aliina [53]3 years ago
5 0
A. take 300*0.04*3 which is $36

b. add $36 to $300
Oksi-84 [34.3K]3 years ago
5 0

Answer:

a. $36

b. $336

Step-by-step explanation:

The simple interest on a amount is:

A=P(1+rt)

A is the amount after interest, P is the amount before interest, r is the rate of interest and t is the time in years.

a.

We can use the formula:

=300\cdot{(1+0.04\cdot{3})}=300\cdot{1.12}=336

The interest earned is the amount after interest minus the original amount before interest:

=336-300=36

$36 of interest was earned

b.

The balance of the account is $336 worked out in a

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Andre45 [30]

Answer:

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Step-by-step explanation:

the same is for dividing decimals

8 0
3 years ago
10. A perfect circle measuring 38 feet across was discovered on Brickell Avenue in Miami in 1998. Known as the Miami Circle at B
vivado [14]

Using an exponential function, it is found that the Tequesta settlement is 1845 years old.

<h3>What is an exponential function?</h3>

The exponential equation for a decaying amount of a substance is given by:

A(t) = A(0)e^{-rt}

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.

A(t) = A(0)e^{-rt}

0.5A(0) = A(0)e^{-5730r}

e^{-5730r} = 0.5

\ln{e^{-5730r}} = \ln{0.5}

5730r = -\ln{0.5}

r = -\frac{\ln{0.5}}{5730}

r = 0.00012096809

Hence, the equation is:

A(t) = A(0)e^{-0.00012096809t}

The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).

A(t) = A(0)e^{-0.00012096809t}

0.8A(0) = A(0)e^{-0.00012096809t}

e^{-0.00012096809t} = 0.8

\ln{e^{-0.00012096809t}} = \ln{0.8}

-0.00012096809t = \ln{0.8}

t = -\frac{\ln{0.8}}{0.00012096809}

t = 1845

The Tequesta settlement is 1845 years old.

You can learn more about exponential functions at brainly.com/question/25537936

8 0
2 years ago
please help i am so confused! need answer fast and thank you soo much! get full points and help your girl out!
Mnenie [13.5K]

Answer:

238 ft³

Step-by-step explanation:

Volume = Length × Width × Height

V = 8.5 × 4 × 7

V = 238 ft³

6 0
3 years ago
The measure of angle QPR = ???? degrees
katovenus [111]
QPR = 1/2 (31 + 98)


Angle QPR = 64.5 degrees
4 0
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Answer:

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Step-by-step explanation:

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