Answer:
The exact answer is 659.1521

Answer:
30,321÷46=**659.152173913**

Let P(n) be the statement that a postage of n cents can be formed using just 4-cent and 7-cent stamps. Use strong induction to prove that P(n) is true for all integers greater than or equal to some threshold x.

Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%, charged as simple interest. They lend her $6000 for 3 years. She makes no payments except the one at the end of that time. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Mary have to pay? (b) What will the total repayment amount be (including interest)? X

Solve the equation 6 = p -8

Prove that if a,b and c are odd integers such that a + b +c = 0, then abc < 0. (you are permitted to use well-known properties of integers here.) be sure to show all work.

Review the table of values for function f(x).A 2-column table with 7 rows. Column 1 is labeled x with entries negative 2, negative 1, negative one-half, 0, one-half, 1, 2. Column 2 is labeled f (x) with entries 8, 5 and one-half, 4, one-half, negative 1, negative 2, negative 7.Which number is the value of f–1(–2)?–8–7StartFraction 1 Over 8 EndFraction1?

Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%, charged as simple interest. They lend her $6000 for 3 years. She makes no payments except the one at the end of that time. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Mary have to pay? (b) What will the total repayment amount be (including interest)? X

Solve the equation 6 = p -8

Prove that if a,b and c are odd integers such that a + b +c = 0, then abc < 0. (you are permitted to use well-known properties of integers here.) be sure to show all work.

Review the table of values for function f(x).A 2-column table with 7 rows. Column 1 is labeled x with entries negative 2, negative 1, negative one-half, 0, one-half, 1, 2. Column 2 is labeled f (x) with entries 8, 5 and one-half, 4, one-half, negative 1, negative 2, negative 7.Which number is the value of f–1(–2)?–8–7StartFraction 1 Over 8 EndFraction1?

The answer would be $198.93

x=

**Answer:**

my guess is 135 because there both the same corners

**Step-by-step explanation:**

**Answer:**

110

**Step-by-step explanation:**

900-(105+150+140+135+125+135)= 110

(tan x + cot x)/(csc x * cos x) = sec^2 x

**Answer:**

**Step-by-step explanation:**

Given **trigonometric identity**:

Simplify the denominator and make the **fractions **in the numerator **like fractions**:

**Cancel **the **common factor **sin x, and **apply **the **exponent rule** aa = a² to the denominator:

**Answer:**

The proof of the trigonometric identity:

We can start by expanding the numerator and denominator. In the numerator, we can use the trigonometric identities tan x = sin x / cos x and cot x = cos x / sin x.

In the denominator, we can use the trigonometric identity csc x = 1 / sin x. This gives us:

`We can then cancel the sin x terms in the numerator and denominator. This gives us:

We can then multiply the numerator and denominator by sin x. This gives us:

We can then simplify the expression. This gives us:

Finally, we can use the trigonometric identity tan^2 x = sec^2 x - 1 to get:

This gives us the following identity:

This completes the proof of the trigonometric identity.

**Answer:**

The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.

**Step-by-step explanation:**

The variable **a** will represent the fuel consumed by the first car, and the variable **b** will represent the fuel consumed by the second car.

Set up the formula: **a+b=75**, which will represent the total gas consumption.

The formula **20a+40b=2200** will help you solve.

To solve, we will first solve for **a **by changing the formula from **a+b=75** to **b=75-a**. Then you plug in the value of **b** to the second formula:

**20a+40(75-a)=2200**

**20a+3000-40a=2200**

**3000-20a=2200**

After subtracting 3000 from both sides, you are left with **-20a=-800**. Multiply both sides by **-1** so that both sides are positive:

**20a=800**

**a=40**

Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with **35** being the amount of gallons consumed by the car with a 40 mpg efficiency.

To figure out how many attendees Rita can have at her picnic, we must divide the total amount that she has in her budget for her graduation picnic ($87) by the cost for every attendee ($3).

$87/$3 = 29

Therefore, Rita can have at most 29 attendees if Rita has the above cost parameters.

Hope this helps!

The tie was marked down by 40%