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Doss [256]
3 years ago
12

You invest $1400 in an account that pays an interest rate of 5.5% compounded continuously. Calculate the balance of your account

after six years round your answer to the nearest hundredth
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0
Hi there
The formula is
A=pe^rt
A future value?
P present value 1400
R interest rate 0.055
T time 6 years
E constant
So
A=1,400×e^(0.055×6)
A=1,947.36

Hope it helps
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Which expression is the best estimate of 1/5 times 24.5
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Answer:

B

Step-by-step explanation:

1.2 x 3.7 nearest tenth

1 x 4 nearest whole number

B

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3 years ago
They need ​$146,000 for the franchise. They invest in a ​3:6 ​ratio, respectively.
jeka57 [31]

Answer:

Step-by-step explanation:

sum of ratio=3+6=9

Jeff invest=3/9×146,000=146000/3=48666 2/3 $

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2 years ago
Help ppppppppppppllllllllllllllllsssssssss
iVinArrow [24]

Answer:

The correct option is D ....

Step-by-step explanation:

Angle is ending at the point = (-3, -4)

Signs of both x and y are negative therefore it is in the third quadrant.

To find the the tangent of an angle we have to find  the ratio of the length of the opposite side to the length of the adjacent side.

In this question the opposite side of the angle is of 4 units and the adjacent side of the angle is 3 units.

tanθ = y/x

tanθ = -4/-3

tanθ = 4/3

Thus the correct option is D ....

5 0
3 years ago
Mary is making a pinata that has a ball-like shape. The pinata has a surface area of 40 feet. Use the formula for the surface ar
Neko [114]
S=4\pi r^2\ \ \ and\ \ \ S=40\ [feet]\ \ \ \Rightarrow\ \ \ 4\pi r^2=40\ /:4\pi\\ \\r^2= \frac{10}{\pi} \ \ \ \Rightarrow\ \ \ r= \sqrt{ \frac{10}{\pi}} \ \ \ \Rightarrow\ \ \ \ r\approx1.78\ [feet]
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Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
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