Solving Exponential Equations (lacking a common base)
Solve the exponential equation 6u = 22

Answers

Answer 1
Answer:

Answer:

u = log 22 / log 6

u = 1.725

Step-by-step explanation:

Let's start by saying:

When ever you have an exponential equation with a different base, you attack

Answer 2
Answer:

Answer:

lg22/lg6

Step-by-step explanation:

6^u = 22

lg(6^u) = lg22

ulg6 = lg22

u = lg22/lg6


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a new motor home costs $89000. It is expected to depreciate 9% each year.Find the value of the motor home in 4 years.
Which ordered pairs are in the solution set of the system is liner inequalities y>-1/3x+2 y<2x+3
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13 over 15 divided by 7 over 10 in simplest form

Chelsea made monthly payments for four years before her $13,440 loan was paid off. The loan had an interest rate of 5.86%, compounded monthly. Chelsea paid $156.60 in service charges. To the nearest tenth, what percentage of the total cost of the loan did her finance charges comprise? Round all dollar values to the nearest cent.

Answers

Given:
PV = 13,440
i = 5.86% , compounded monthly
t = 4 years

13,440(0.0586/12))/(1-(1+0.0586/12)^-48= 15,109.44 
15,109.44 + 156.60 = 15,266.04
15,266.04 - 13,440.00 =  1,826.04 
1,826.04/15,266.04 = 11.96 % Percentage total of Finance Charge of the total loa

Answer: 11.9%

Step-by-step explanation:

Given f(x)=-3x+8, find f^-1(x) then state wheter F^-1 (x) is a function

Answers

Answer:

f⁻¹(x) = (8-x)/3 and it is a Function.

Step-by-step explanation:

Given is f(x) = -3x+8

Suppose y = f(x), then y = -3x + 8

Solving for x:-

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y)/3

Now interchanging x and y:-

y = (8-x)/3

Here, y is inverse function i.e. f⁻¹(x)

Hence, f⁻¹(x) = (8-x)/3

Since f⁻¹(x) is a linear expression of x, therefore it is a function.

11. A line segment is different from a line in that a segment hasA. only one endpoint.

B. no endpoints.

C. two endpoints.

D. an undefined length.

Answers

A line segment would be C. 
This is because it is quite lterally a "segment" of line. Or a piece. 

Determine the sign of the product -2/9×1/7 enter + for positive or - or negative

Answers

Answer:

the sign of the product would be a negative or "-"

Step-by-step explanation:

Final answer:

The sign of the product of -2/9 × 1/7 is negative because one of the numbers being multiplied is negative and the other is positive.

Explanation:

In mathematics, the sign of a product is determined by the sign of the numbers that are being multiplied. When multiplying two numbers, if both numbers are positive or both numbers are negative, the product will be a positive number. If one number is positive and one is negative, the product will be a negative number.

In our case, we are multiplying -2/9 and 1/7. The number -2/9 is negative and the number 1/7 is positive. Since one number is positive and the other one is negative, the sign of the product -2/9×1/7 will be negative. Thus, we enter '-' for negative.

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Solve the equation 6x +2y = 10 for y in terms of x gives what function?y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5

Answers

The correct equation for y in terms of x would be, y = - 3x + 5

Hence, option 2 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

6x + 2y = 10

Now, simplify the equation for y in terms of x as,

6x + 2y = 10

Subtract both sides by 6x,

2y = - 6x + 10

Divide both sides by 2,

y = - 3x + 5

So, The correct equation would be, y = - 3x + 5

Thus, option 2 is true.

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Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5

Fatima has saved $15,000 toward a down payment on a house. She makes $5,375 a month. What is the maximum loan she can take on a house?Don't you take the $5,375 a month, multiply it by 12, then multiply that answer by 2?
$5,375 x 12 = $64,500 x 2 = $129,000

Answers

Answer:

just use this formula and plug in your numbers from the question.

Maximum Loan for a house= $129,000

monthly pay * 12. So $5,375*12=$64,000.

$64,000*2=$129,000.

Maximum spent on a House=$144,000

$129,000+ $15,000= $144,000

Step-by-step explanation:

Rule from the lesson:

Maximum loan for a House = 2(Annual Gross pay) , that is 2*your annual gross pay.

Maximum spent on a House= Maximum Loan + Down Payment

If you want to find the loan for 2 years then you are right.Moreover in most of the cases you need t pay the interest too.But in this cases interest rate is not mentioned.