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3 years ago

SOLVE.

1 answer:

5 0

$1.\\4e-15=4e+11\qquad|-4e\\-15=11\qquad FALSE\\\\no\ solution\\-----------------------------\\2.\\3(2f-1)=5(f+2)\qquad|\text{use distributive property}\\(3)(2f)+(3)(-1)=(5)(f)+(5)(2)\\6f-3=5f+10\qquad|+3\\6f=5f+13\qquad|-5f\\\boxed{f=13}\\--------------------------------\\3.\\6g-9=3(2g-3)\qquad|\text{use distributive property}\\6g-9=(3)(2g)+(3)(-3)\\6g-9=6g-9\qquad|-6g\\-9=-9\qquad TRUE\\\\identity\ equation\\--------------------------------------$

$4.\\3(2h-1)=5h-3\qquad|\text{use distributive property}\\(3)(2h)+(3)(-1)=5h-3\\6h-3=5h-3\qquad|+3\\6h=5h\qquad|-5h\\\boxed{h=0}\\------------------------------------\\5.\\4-(3j+2)=2(1-2j)+5\qquad|\text{use distributive property}\\4-3j-2=(2)(1)+(2)(-2j)+5\\4-3j-2=2-4j+5\qquad|\text{combine like terms}\\(4-2)-3j=(2+5)-4j\\2-3j=7-4j\qquad|-2\\-3j=5-4j\qquad|+4j\\\boxed{j=5}$

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A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th

irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: $FV=P(1+r)^n$

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: $r=\frac{0.09}{2}=0.045$

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

$FV=1540(1+0.045)^{12}$

$FV=1540(1.045)^{12}$

$FV=1540(1.69588)$

$FV=2611.6552$

Hence, the future value of this initial investment after the six year period is $2611.6552

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4 years ago

What is 992,449 rounded to the nearest hundred thousand

Mila [183]

Hundred thousand is the first 9, so we will round up to make 1 million.

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3 years ago

(Use the Distributive Property to find an equivalent expression)<br> 2(3x-7y) = ?

IRINA_888 [86]

Answer:

(7y-3x)2

Step-by-step explanation:

It's the same thing but backwards

I hope this helps

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3 years ago

A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(

blagie [28]

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

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2 years ago

What is the value of x

Gemiola [76]

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Sin = Opposite/Hypotenuse

sin(30°) = 5/x

Solving for x, we get ...

x = 5/sin(30) = 5/0.5

x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

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3 years ago