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sladkih [1.3K]
3 years ago
14

A person invested $7,400 in an account growing at a rate allowing the money to

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

$13,304

Step-by-step explanation:

-We use the compound interest function to determine the rate of growth.

-Given that the amount doubles in 13 years, the annual growth  rate is calculated as:

A=P(1+i)^n\\\\2P=P(1+i)^n\\\\\therefore 2=(1+i)^{13}\\\\i=2^{1/13}-1=0.05477

We now substitute this value of i in the compound interest formula equation to solve for future value:

A=P(1+i)^n\\\\\\=7400(1.05477)^{11}\\\\\\=13303.54

\approx13304

Hence, the future value to the nearest dollar is $13,304

*You can alternatively use the exponential growth function:

P_t=P_oe^{rt}\\\\2=e^{13r}\\\\r=\frac{In \ 2}{13}=0.05332\\\\\therefore P_{11}=7400e^{0.05332\times 11}\\\\=13303.14

This is slightly off by just $1

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The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
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The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

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Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
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3 years ago
Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she u
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Answer with explanation:

Presume that, initial water level to be, 0 mm, at a time t=0.

And water level is rising at the rate of 1.8 \frac{\text{mm}}{\text{year}}.

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→Averge, that is increase in water level after 6.2 years is given by

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→→Rate of Depreciating of water level is given by = Negative of Increase of water level=-1.8 \frac{\text{mm}}{\text{year}}

5 0
3 years ago
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HII HELP OK THIS ASAP PLS​
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Answer:D

hope this helps

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