A bond is currently selling for $6055, which is 86.5% of its face value. What is its face<br> value?

5=5ax+1 please help, its due in an hour.<br><br> solve for x

RUDIKE [14]

Answer:

x= 4/5a

Step-by-step explanation:

5=5/ax+1

Step 1: Multiply both sides by a.

5a=a+5x

Step 2: Flip the equation.

a+5x=5a

Step 3: Add -a to both sides.

a+5x+−a=5a+−a

5x=4a

Step 4: Divide both sides by 5.

5x/5=4a/5

x= 4/5a

Hope this helps!

4 0

2 years ago

If f(x)=-4x^2-6x-1 and g(x)=-x^2-5x+3, fine (f-g)(x)

NeX [460]

Answer:

$\large\boxed{(f-g)(x)=-3x^2-x-4}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)$

$f(x)=-4x^2-6x-1,\ g(x)=-x^2-5x+3\\\\(f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\(f-g)(x)=-4x^2-6x-1-(-x^2)-(-5x)-3\\\\(f-g)(x)=-4x^2-6x-1+x^2+5x-3\qquad\text{combine like terms}\\\\(f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\(f-g)(x)=-3x^2-x-4$

5 0

3 years ago

Bruce’s hourly wage increased from $15.50 to $18.60. What rate of increase does this represent?

AURORKA [14]

Answer:

0.2% increase

Step-by-step explanation:

First, you find the change between $15.50 and $18.60, which is 3.10. Then you do 3.10 divided by the original, which is 15.50. You should get 0.2.

7 0

2 years ago

Of all the species in the world, 4 out of every 5 are insects what percentage of species are insects

Fiesta28 [93]

Answer:

80%

Step-by-step explanation:

So you basically, just make it a ratio. Since a percentage is out of 100, just make the 5 into 100. To get 5 to 100, you times 20. Then you do the same thing to the 4 which you get 80.

5 0

3 years ago

Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1

makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

$\begin{aligned}\\
x+y&=320\\
y&=320-x\\
\end$ .......1

Now as the total money with ticket selling is $1100. Thus,

$2.5x+4y=110$

Keep the value of u from the equation 1 in the above equation. We get,

$\begin{aligned}
2.5x+4(320-x)&=1100\\
2.5x+1280-4x&=1100\\
-1.5x&=1100-1280\\
-1.5x&=-180\\
x&=\dfrac{180}{1.5} \\
x&=120\\
\end$

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

$y=320-x\\
y=320-120\\
y=200$

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

brainly.com/question/787279

8 0

2 years ago

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A bond is currently selling for $6055, which is 86.5% of its face value. What is its face value?