Solve for x using
cross multiplication.
3x - 3
2x – 2
=
5
4
x = [?]

Answer:

equation ?

Step-by-step explanation:

where is the equation

Answer:

picture?

Step-by-step explanation:

Answer: D

Step-by-step explanation:

D

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

Answer:

It gives you -7

Step-by-step explanation:

Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.

The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)

Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)

Hope this helps:)

Answer:

D. 7 1/2

Step-by-step explanation:

-3 divided by -2/5

-(-3(-5/2)

-(-3 x 5/2)

-15/2

7 1/2

Hope it helps

Answer:

its b have  a nice day

Step-by-step explanation:

Answer:

I think its D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

120 cm squared

Step-by-step explanation:

To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle

we can find the rectangle side by doing

21-6=15

then multiply it

15*8=120

Answer:

4 18/2 is first one   second is    1/1  and last is 4/5

Step-by-step explanation:

Answer:

The value of x is 7

Step-by-step explanation:

Complementary angles have a sum of 90°, therefore the equation to solve for x is:

∠1+∠2=90°

60°+5(x-1)°=90°

5(x-1)=30°

x-1=6

x=7

So the value of x is 7

Answer:

15n

Step-by-step explanation:

Given

The above table

Required

The formula of the table

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 - n_1}[/tex]

Where:

n = Number of Lawns

y = Earnings

[tex](n_1,y_1) = (2,30)[/tex]

[tex](n_2,y_2) = (5,75)[/tex]

So, we have:

[tex]m = \frac{75 - 30}{5 - 2}[/tex]

[tex]m = \frac{45}{3}[/tex]

[tex]m = 15[/tex]

The equation is then calculated as:

[tex]y = m(n- n_1) + y_1[/tex]

This gives:

[tex]y = 15(n- 2) + 30[/tex]

[tex]y = 15n- 30 + 30[/tex]

[tex]y = 15n[/tex]

Hence:

B is correct

Answer:

3 hours

Step-by-step explanation:

15÷5=3 so that's ot

Answer:

It does not absorb moisture, but does absorb oil; this quality makes polyester the perfect fabric for the application of water-, soil-, and fire-resistant finishes. Its low absorbency also makes it naturally resistant to stains.

Step-by-step explanation:

I cant see the question's very well so ^

Answer:

2nd one

Step-by-step explanation:

Polyester is what a call hydrophobic meaning it doesn’t absorb water. Even after washing it it’ll repel the clean water making still dirty.

Answer:

5x<50

Step-by-step explanation:

Answer:

Step-by-step explanation:

5n < 50 <--- subtracts 4 from both sides

n < 10 <--- divides both sides by 5

Check: testing n=0, we have 4 + 5(0) = 4 + 0 = 4 < 54, so yes it works

testing n=10, 4 + 5(10) = 4 + 50 = 54.

testing n=11, 4 + 5(11) = 4 + 55 = 59 <--- fails as expected.

X < 10, proven, verified, correct

9514 1404 393

Answer:

  A

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

Using these rules, along with the distributive property, we can simplify the given expression.

  [tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]

Answer:

-2

Step-by-step explanation:

I got it wrong and it told me negative 2 was the correct answer lol

Answer:

Z = 80 degrees and X = 8 degrees

Step-by-step explanation:

The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.

I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)

We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!

Hope this helped!

Answer:

false

Step-by-step explanation:

its equal every time because its countinuous

Answer:

15 different pairs.

Step-by-step explanation:

I hope this helps. :D

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

A) 141.8   B) 316.8

Step-by-step explanation:

I did 35.450k/100x4 to get 141.8. Then I did 175+141.8

Answer:

Should be 216

Step-by-step explanation:

[tex]single \: term \: expression \: is \: called[/tex]

[tex]monomial[/tex]