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3 years ago

An investment of 100,000 AED increases at a rate of 16% per year. What is

Mathematics

1 answer:

stepan [7]3 years ago

7 0

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

traingle abc is an isosceles right triangle with the measure of angle a equal to 90 degrees. the length of segment ac is 6 cm. w

Semmy [17]

Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.)

(6x6) / 2
6x6 = 36
36 / 2 = 18

The area of the isosceles triangle is 18 square centimeters.

4 0

3 years ago

Find the mean of the following: 158, 213, 107, 213, and 213. If needed, round your answer to the nearest tenth

Shalnov [3]

Answer:

180.8

Step-by-step explanation:

1. Add all the numbers

2. Divide the sum by 5

3. you get the answer

4 0

3 years ago