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Irina18 [472]
2 years ago
13

An initial investment of $3000 compounded annually at a rate of 12% after 20 years.

Mathematics
1 answer:
Doss [256]2 years ago
5 0

Answer:

=\frac{2^{\frac{2}{3}}\sqrt[3]{x}}{2x}

Step-by-step explanation:

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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he
Tamiku [17]

Answer:

5 feet

Step-by-step explanation:

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

y=-0.4x^2+3x

where y is the height above water and x is the horizontal distance in feet.

If a beam of light is shone upward at an angle modeled by the equation

x+y=10

A beam of light hit the dolphin.

So, line must be intersect path of dolphin.

Using substation method,

Substitute y=10-x into dolphin equation.

10-x=-0.4x^2+3x

-0.4x^2+4x-10=0

x=\dfrac{-4\pm\sqrt{4^2-4(-10)(-0.4)}}{2(-0.4)}

x=5\text{ feet }

y=5\text{ feet }

Hence, The beam hit dolphin at 5 feet.

8 0
2 years ago
The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages
lubasha [3.4K]
Let dan's age be x  then:-
 james age is 3x  and  2(x + 3x) is Pauls age so we have:-

x + 3x + 2*4x = 120

12x = 120
x = 10 

so Dans age is 10 , James's age is 30 and Paul's age = 80




3 0
2 years ago
The resultant of a certain system of forces has the X and Y components shown in Fig. 220. Determine the components of this resul
Alchen [17]
First, you need to determine the resultant force and its angle. This one is real easy, since you only have one (x) and one (y) component. X = 300 and Y = 480 

<span>1) sqrt (300^2 + 480^2) = ? (round your answer) </span>
<span>2) tanθ = y/x Solving for θ: θ = tan^-1(y/x): θ = ? (round your answer) </span>

<span>Now, you should have a resultant force value and its angle, from zero, in the first quadrant and between the Y and N axes. Draw yourself a diagram showing all of the axes, the resultant and the angles. You're going to have to do some very easy math to determine the angles between the Y and N axes and the resultant. Call these new angles α and β. α is the angle between N and the resultant and β is the angle between T and the resultant. Hint: one of them is 28 deg. </span>

<span>Once you've gotten those figured, the Y and N axes become your new axis, ignore the X and Y. Find the X and Y components of the resultant (again). ? * cos(α) = 500 and ? * sin(β) = 266 (round your answers)</span>
7 0
2 years ago
Triangle J K L is shown. Lines are drawn from each point to the opposite side and intersect at point P. Line segments J O, K M,
Oksanka [162]

Answer:

JM = ML, LO = OK, and KN = NJ

Step-by-step explanation:

This makes the most sense.

8 0
1 year ago
Read 2 more answers
Bella bought 3.2 meters of ribbon to decorate her pencil case. each meter cost $0.46. how much did the ribbon cost?
zlopas [31]

we know that

Each meter of ribbon cost \$0.46  

so

by proportion

Find the cost of 3.2 meters of ribbon

\frac{0.46}{1} \frac{\$}{meter} =\frac{x}{3.2} \frac{\$}{meter} \\ \\x=3.2*0.46 \\ \\x=\$1.472

therefore

<u>the answer is</u>

The ribbon cost \$1.472


8 0
2 years ago
Read 2 more answers
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