Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4

Answer:

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Step-by-step explanation:

We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  

We first solve i = prt for p.  To accomplish this, divide both sides by rt, which results in:

 i         p

----- = -----

 rt        1

Here we substitute $14,400 for p, 0.08 for r and 30 for t.  

We get the following expression for p:

       $14,400

p = ----------------- = $6,000

       (0.08)(30)

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Answer:

6000

Step-by-step explanation:

14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000

Answer:

hello!

Step-by-step explanation:

i had a nice day i hope you did too :)

Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

Answer:

At least 8.333 km/hr

Step-by-step explanation:

Using the inequality setup, we have

5/r + 1.25 + .75 + .9 ≤ 3.5

5/r ≤ .6

5 ≤ .6r

r ≥ 25/3 = 8.333

Answer:

1st =  13

2nd = 21

3rd = 36

Step-by-step explanation:

Let the first number be

f

The second of three numbers is 8 more than the first,

f + 8

third number is 3 less than 3 times the first.

3f - 3

---------------------------

the third number is 15 more than the second,

3f - 3 = (f + 8) + 15

3f - 3 = f + 23

Subtract f from both sides

2f - 3 = 23

add 3 to both sides

2f = 26

Divide both sides by 2

f = 13

f + 8 = 13 + 8 = 21

3f - 3 = 3(13) - 3 = 36

Answer:

4/3mpm

Step-by-step explanation:

(1 1/2)/(1 1/8)

convert to improper fraction

(3/2)/(9/8)

solve

1/(3/4)

4/3

Answer:

The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5).  Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b.  I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b             [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

Answer:

x = 66

Step-by-step explanation:

Have a nice day

Answer:

B. 4

Step-by-step explanation:

Answer:

4-5 ounces or 113-142 grams

Step-by-step explanation:

1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3

[tex]\\ \sf\longmapsto 3+2!2![/tex]

[tex]\\ \sf\longmapsto 3+2(2)[/tex]

[tex]\\ \sf\longmapsto 3+4[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

[tex] \: \: \: \: \: [/tex]

[tex]⟹7[/tex]

Step-by-step explanation:

[tex]3 + (2! \times 2!)[/tex]

[tex]3 + (2 \times 2)[/tex]

[tex]3 + 4[/tex]

[tex]⟹7[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

2c + 14 = 1.5c + 20

subtract 14 from each side to get:

2c = 1.5c + 6

subtract 1.5c from each side to get:

0.5c = 6

c = 6/0.5

c = 12

if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package

Answer:

the answer is D

Step-by-step explanation:

75 plus 37 is 112 and 180 minus 112 is 68

Answer:

the value of x is 88

Step-by-step explanation:

Answer:

g(x) = -16^x + 8

Step-by-step explanation:

This reflection is accomplished by putting a negative sign in front of 16^x, and the upward translation by adding 8:

f(x)=16^x  becomes  g(x) = -16^x + 8

the answer is 32 because it as shown it has 23 and 67

the angle 1 and 3 are congruey

Answer:

14x-21=14x +7

x cancels all out which leaves with just

28

Answer:

There is no x that satisfies the condition.

Step-by-step explanation:

7(2x - 3) = 14x + 7

14x - 21 = 14x + 7

-21 = 7

contradiction

Answer:

B

Step-by-step explanation:

Look at the expression inside the log( ).  Work from the outside in, so to speak.  First, there's a quotient (the cube root divided by 3x).

[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]

The cube root can be written using a rational exponent.

[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]

Use the exponent property to move the exponent 1/3 out.

[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]

This now matches answer choice B.

Answer:

Step-by-step explanation:

96 for 1st triangle and 128 for he 2nd triangle....hope this helps!

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k =  =  = 12 × 3 = 36

y = 36x ← equation of variation

Answer:Yea looks like you have it already C

Step-by-step explanation:

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

Answer: 126

Step-by-step explanation:

11+5=16

Step-by-step explanation:

square root of 121 is 11 and cube root of 125 is 5 i.e

11^2=121 and 5^3=125

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

Answer:

x=-15

Step-by-step explanation:

10-(-x)=-5

10+x=-5

x=-5-10

Answer:

x = -15

Step-by-step explanation:

A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.