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Nesterboy [21]
3 years ago
7

Determine the models that could represent a compound interest account that is growing exponentially.

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:A(t)= 2,675(1.003)12t

A(t)=4170(1.04)t

A(t)=5750(1.0024)2t

Step-by-step explanation:Exponential growth is also called growth percentage.

It is calculated using 100% of the original amount plus the growth rate . Example if the amount grows by 5% yearly.5%=0.05

It is written thus(1+0.005)=1.05.

It is usually written in decimal.

The formular for compound interest that is growing exponentially is written as

A=P (1 + i)^N

Looking at the 5 A(t) equations,only 3 of it are growing exponentially.

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Divide and simplify 4/7÷(-11/2)​
lys-0071 [83]

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\frac{\frac{4}{7} }{-\frac{11}{2} }

Multiply by the reciprocal in order to get rid of the fraction in the denominator.

\frac{\frac{4}{7} }{-\frac{11}{2} }*-\frac{2}{11}

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4 0
3 years ago
Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni
Serjik [45]

Answer:

x =12\ or\ -8

Step-by-step explanation:

Given

(x_1,y_1) = (6,5)

(x_2,y_2) = (8,2)

(x_3,y_3) = (x,11)

Area = 15

Required

Find x

The area is calculated as thus:

Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|

Substitute values

15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|

15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|

15 = \frac{1}{2}|-54 + 48 + 3x|

15 = \frac{1}{2}|-6 + 3x|

Multiply through by 2

2 * 15 = \frac{1}{2}|-6 + 3x| * 2

30 = |-6 + 3x|

Remove absolute sign

30 = -6 + 3x\ or\ -30 = -6 + 3x

Add 6 to both sides

36 = 3x\ or\ -24 =  3x

Divide by 3

12 = x\ or\ -8 = x

x =12\ or\ -8

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0
2 years ago
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