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Maslowich
3 years ago
15

Landon is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Landon need to i

nvest, to the nearest hundred dollars, for the value of the account to reach $11,300 in 14 years?
Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Answer:

$ 6,189.18

Step-by-step explanation:

From the above question, we can deduce that we are meant to find the Principal (Initial Amount ) invested.

The formula for the Principal of a compound interest that is compounded continuously is given as:

P = A / e^rt

Where

P = Principal

A = Totally Amount after time t = $11,300

r = Interest rate = 4.3 % = 0.043

t = 14 years

P = $11,300/ e ^0.043 × 14

P = $ 6,189.18

Hence, Landon needs to invest, $ 6,189.18

Nata [24]3 years ago
3 0

Answer:

6200

Step-by-step explanation:

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Kisachek [45]

Answer:

Part A)

1)  k=250

2) y=25

Part B)

1)  k=7

2) y=84

Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

step 1

<u>Find the value of k</u>

x=50 when y=5

substitute the values

y*x=k ------> 5*50=k -----> k=250

The equation is equal to

y*x=250  or y=250/x

step 2

<u>Find y when x=10</u>

substitute the value of x in the equation and solve for y

y*(10)=250

y=250/10=25

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

step 1

<u>Find the value of k</u>

x=6 when y=42

substitute the values

y/x=k ------> 42/6=k -----> k=7

The equation is equal to

y/x=7  or  y=7x

step 2

<u>Find y when x=12</u>

substitute the value of x in the equation and solve for y

y=7(12)=84

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Answer:

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Step-by-step explanation:

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Regular Polygon is the polygon which have all sides and all angles equal.

Convex Polygon is the polygon in which measure of all interior angles less than 180° and if measure of each of interior angle greater than 180° then it is concave.

In the first figure, all sides are equal therefore and each of interior angle of polygon is less than 180°. Hence, the polygon is regular and convex.

In the second figure, all sides are not equal  and each of interior angle of polygon is less than 180°. Hence, the polygon is irregular and convex.

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