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2 years ago

5

How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after fo

ur years?

1 answer:

Iteru [2.4K]2 years ago

3 0

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293

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What are the coordinates of D’ when the quadrilateral is reflected across the line y = x? On a coordinate plane, quadrilateral A

natita [175]

Answer:

D' (1, 3)

Step-by-step explanation:

When reflected across the y = x line, the "x" and "y" coordinates switch.

If D is (3, 1), then:

x = 3

y = 1

Switch the "x" and "y" values, and rewrite as (x, y).

x = 1

y = 3

D' (1, 3)

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3 years ago

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Airida [17]

Question:

Jordan is cutting a 2 meter by $1\frac{1}{4}$ meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

Solution:

Length of the paper = 2 m

Width of the paper = $1\frac{1}{4}$ m = $\frac{5}{4}$ m

<em>Area of the rectangle = length × width</em>

$$=2\times \frac{5}{4}$

$$= \frac{5}{2} \ m^2$

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

$$=\frac{ \frac{5}{2}}{2}$

$$=\frac{5}{4} \ m^2$

$$=1 \frac{1}{4} \ m^2$

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

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3 years ago

The population in thousands of people of a city is approximated by the function P(t) = 1200(2)0.1038twhere t is the number of ye

asambeis [7]

The population of the group in 2019 is 2,134,000 people

Let P represent the population in thousands of people in the year t after 2011

Given the equation:

$P=1200(2)^{0.1038t}$

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$P=1200(2)^{0.1038*8}=2134$

b) The population of the group in 2029, that is t = 18(2029 - 2011):

$P=1200(2)^{0.1038*18}=4382$

The population of the group in 2019 is 2,134,000 people

Find out more on equation at: brainly.com/question/2972832

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2 years ago

One of the legs of a right triangle measures 2 cm and its hypotenuse measures 19 cm.

pentagon [3]

Answer:

18.9

Step-by-step explanation:

361-4 = 357

the root of 357 is 18.9 when rounded

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2 years ago

mike can buy red push pins in packages of 24 and yellow push pins in packages of 36. what is the least number of each color he m

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The least he can buy is 3 of the red and 2 of the yellow which equals 5 packes

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3 years ago