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2 months ago

Guest #2064

2 months ago

A = P (1 + r/n) ^nt

P = 2400

r = .02

n = 1

t = 7

**Answer: $2756.86**

P = 2400

r = .02

n = 1

t = 7

Question

A building can be insured by multiple insurance companies at the same time. True or False?

Solution 1

This answer is True this is something sometimes done by an insurance broker who is insuring a very very high-end property

Question

Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes. After about how many hours does the company break even?
Note: The phrase break even refers to the value where the two functions are equivalent.
1 h
5 h
2 h
10 h

Solution 1

Y₁ = 420 + 72x

y₂ = 24x² + 180

y₁ = y₂

∴ 420 + 72x = 24x² +180

∴ 24x² - 72x - 240 = 0

∴ x² - 3x -10 = 0

∴ ( x + 2)( x - 5 ) = 0

∴ x = -2 (Unacceptable) OR x = 5

**∴ The correct answer is the second ⇒⇒⇒⇒⇒ 5h**

y₂ = 24x² + 180

y₁ = y₂

∴ 420 + 72x = 24x² +180

∴ 24x² - 72x - 240 = 0

∴ x² - 3x -10 = 0

∴ ( x + 2)( x - 5 ) = 0

∴ x = -2 (Unacceptable) OR x = 5

Solution 2

**Answer:**

5h

**Step-by-step explanation:**

Took the test. :)

Question

Given the quadratic function : f(x)=x^24x-12
Find the vertex.
Can you show the steps?!?

Solution 1

Question

28 - 2(5a - 3) = 47
A. -1.3
B. 1.3
C. -2.5
D. 8.1

Solution 1

If you work it out, you get -10 a=13. and to get the final answer you divide each side by 10, leave you with the answer... a = -1.3

Question

marilyn has a biweekly gross pay of $810 and claims 3 federal withholding allowances. Marilyn has all of the following deductions from her gross pay: federal tax from the following table 2007-02-03-00-00_files/i0190000.jpg Social Security tax that is 6.2% of her gross pay Medicare tax that is 1.45% of her gross pay state tax that is 21% of her federal tax Determine how Marilyn’s net pay will be affected if she increases her federal withholding allowances from 3 to 4.

Solution 1

Just took the test and its c

Solution 2

**Answer: **

**Her net pay will increase by $18.15.**

**Step-by-step explanation:**

Question

ANSWER ASAP A line has a slope of 0.5 and a y-intercept of (0, -2). What is the value of y when x = 4?

Solution 1

Y=mx+b

m=0.5

b is value of y in y-intercept, b=-2

The equation of this line is

y=0.5x-2

When x=4

y=0.5x-2=y=0.5*4-2=2-2 = 0

When x=4, y=0.

m=0.5

b is value of y in y-intercept, b=-2

The equation of this line is

y=0.5x-2

When x=4

y=0.5x-2=y=0.5*4-2=2-2 = 0

When x=4, y=0.

Question

The axis of symmetry for the graph of the function f(X)=3x^2+bx+4 is X=3/2. What is the value of b?

Solution 1

Remember that the axis of symetry is x=value of how far it is from the origin

also remember that the vertex formula is -b/(2a) so

a=3

3/2=-b/(2(3))

3/2=-b/(6)

mutiply both sides by 6

18/2=-b

9=-b

multily both sides by -1

-9=b

so the equation is

f(x)=3x^2-9x+4

b=-9

also remember that the vertex formula is -b/(2a) so

a=3

3/2=-b/(2(3))

3/2=-b/(6)

mutiply both sides by 6

18/2=-b

9=-b

multily both sides by -1

-9=b

so the equation is

f(x)=3x^2-9x+4

b=-9

Solution 2

Answer:

-9

Step-by-step explanation:

Question

Jackson mows lawns to make money. It costs him $7 each week to advertise his business. It costs him $1.50 in gas to mow each lawn, and he charges $10.00 for each lawn he mows. Write an equation to model the amount of profit, P, he makes from mowing x lawns in one week.

Solution 1

Lawns = L

Money he gets from mowing = M

M - $7 - (L * $1.50) = P for 1 Week

Hope this helped :D

Money he gets from mowing = M

M - $7 - (L * $1.50) = P for 1 Week

Hope this helped :D

Question

A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bags, x, for the bags of pumpkin seeds?

Solution 1

If a bag of pumpkin seeds must weigh within 2.1 grams in order to be accepted, each bags must weigh between (400-2.1) grams and (400+2.1) grams. This means that if a bag weighs less than 397.9 grams (x<397.9) or more than 402.1 grams (x>402.1) it will be rejected. Therefore, 397.9>x>402.1 is the range of rejected bags.

Solution 2

**Answer:**

**Step-by-step explanation:**

The range of rejected bags is found by summing and subtracting the 400 grams to 2.1 grams, because the second one represent the acceptable margin.

So, we have:

However, this interval represents the accepted range. The rejected range would be the opposite. Therefore, the asked range is:

Question

Jason incorrectly simplified the expression (4.7*10^2)*(6.2*10^4). Circle each step that shows an error. Then correct each of those steps so that the expression is correctly simplified. A Step 1. 4.7*6.2*10^2*10^4 ______________
B Step 2. (4.7*6.2)*(10^2*10^4) ______________
C Step 3. 29.14*10^8 _____________
D Step 4. 2.914*10^6 _______________

Solution 1

**Answer:**

Step C is incorrect: When you simplify exponents the rules are: for adding or subtracting, the base and the exponent must be equal; when multiplying the base must be the same, and the exponents will add; when dividing the base must be the same and the exponent will subtract.

Step D is incorrect: The last division is wrong, you could treat it with the general rule of exponents, subtracting the exponents of the base *10*.

The correct procedure of each step is:

**C.**

**D.**

Solution 2

So sum means add

difference means subtract

represent as x and y

x+y=55 times (x-y)

find ratio of numbers

solve for one placeholder and simplify

solve for y

distributiver property a(b-c)=ab-ac

55(x-y)=55x-55y

difference means subtract

represent as x and y

x+y=55 times (x-y)

find ratio of numbers

solve for one placeholder and simplify

solve for y

distributiver property a(b-c)=ab-ac

55(x-y)=55x-55y

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