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Roman55 [17]
3 years ago
15

Mr. Sanford left half of his fortune to April, his daughter. He left of the remaining half to his uncle Jed. He left half of the

remaining half to his favorite charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune?
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

40 is the full amount

Step-by-step explanation:

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A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

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4 0
2 years ago
Can someone help me with this problem please? I'll mark you as brainliest!
leonid [27]

Answer:

put a closed for on -1 and go to the left with an arrow

3 0
3 years ago
Read 2 more answers
Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $5
vagabundo [1.1K]
If she gets 3% of what she sells you multiply the decimal form of the percent by the amount she has made:
50*.03=1.5
So she make $1.50 for every $50 of sales, so you multiply the amount she made by her commission each day by the number of days she worked:
1.5*30=45
 
She earned a total of $45<span />
4 0
3 years ago
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I need to know how to do this, plz explain-Which function grows at the fastest rate for increasing values of x?
saul85 [17]
If the first function is
.. h(x) = 2^x
it will be the one that grows the fastest. The exponential function with the largest base value will grow faster than any polynomial.

7 0
3 years ago
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One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers
Troyanec [42]

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

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5 0
3 years ago
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