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liq [111]
4 years ago
10

What would be the value of $150 after eight years if you earn 12 percent interest per year? A. $371.39 B. $415.96 C. $465.88

Mathematics
1 answer:
salantis [7]4 years ago
5 0
<h3>What would be the value of $150 after eight years if you earn 12 % interest per year? A. $371.39 B. $415.96 C. $465.88 </h3>

<em>The compound interest is applied, that is to say, each year the interest produced is accumulated to the outstanding capital and the interest of the next period is calculated on the new outstanding capital.</em>

The formula for calculating compound interest is:

Compound interest = Total amount of Principal and interest in future less Principal amount at present = [P(1 + i)ⁿ] – P

(Where P = Principal, i = nominal annual interest rate in percentage terms, and n = number of compounding periods)

[P(1 + i)ⁿ] – P = P[(1 + i)ⁿ – 1] = $150[(1 + 12/100)⁸ – 1] = $150[(1.12)⁸ – 1] = $150[2.47596317629 - 1] = $150[1.47596317629] = $221.39

Total amount = $150 + $221.39 = $371.39

Answer : A.) $371.39

\textit{\textbf{Spymore}}​​​​​​

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Sindrei [870]

Step-by-step explanation:

I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1.  Therefore we get that f(x) is equal to 4 and g(x) is equal to -1.  We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.

Answer:  Option B, -4

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2 years ago
Which one should I choose?
Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

m\angle 1=90^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

90^\circ+65^\circ+m\angle 2=180^\circ

155^\circ+m\angle 2=180^\circ

m\angle 2=180^\circ-155^\circ

m\angle 2=25^\circ

Therefore, the correct option is C.

7 0
3 years ago
Janie earned $15.50 at her part time job on Saturday
mina [271]

Answer:48 dollars

Step-by-step explanation:Just add 32.50 and 15.50 to get 48

8 0
3 years ago
Read 2 more answers
Urgent!
boyakko [2]

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

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3 years ago
3y = x -4
Snezhnost [94]

Answer:

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Step-by-step explanation:

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3 years ago
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