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barxatty [35]
3 years ago
7

An account compounds interest, at a rate of 9%, once a year. Emily puts $1000 in the account as the principal. Create a function

to track the amount of money she has.
Mathematics
1 answer:
Softa [21]3 years ago
6 0
1000(1+.09÷1)^1×1=1090 because this is the formula for compound interest rate.
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Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x
fomenos

Answer:

Option D. 2x⁷ - 12x⁶ + 10x⁵

Step-by-step explanation:

From the question given:

Length (L) = 2x²

Width (w) = x³

Height (h) = x² - 6x + 5

Volume (V) =?

Volume (V) = length (L) x width (w) x height (h)

V = L x w x h

V = 2x² × x³ × x² - 6x + 5

V = (2x²) (x³) (x² - 6x + 5)

V = (2x⁵) (x² - 6x + 5)

Clear bracket

V = 2x⁷ - 12x⁶ + 10x⁵

Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵

4 0
3 years ago
Area of rectangular figures​
iren2701 [21]

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

3 0
2 years ago
Find the exact circumference of a circle with the given radius. 5 inches C = 2.5π in. 10π in. 25π in.
docker41 [41]
The circumference, C, of a given circle may be calculated through the equation,
         
                                   C = 2πr

where r is the radius. 

Substituting the known values from the given in this item,
                                    C = 2(π)(5 in)
                                    <em>C = 10π in</em>

Thus, the answer is this item is the second choice. 
5 0
3 years ago
You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the
Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x  + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0
3 years ago
Please need help I will be MARKING as BRIANILIST. thank you so much. ​
Marina86 [1]

Answer:

a. (3,11) (4,15) (5,19) (6,23)

b. it's not proportional because b (from y=mx+b) is not 0

c. the equation is y = 4x - 1

d. graph the y-int (-1) on the y-intercept and then connect the points in a.

Step-by-step explanation:

5 0
3 years ago
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