At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month​

Answer:

The answer is "p= $5,246".

Step-by-step explanation:

Using formula:

Present value of [tex]\frac{in-flow}{out-flow}[/tex] = cash-flow [tex]\times[/tex] present value of discounting factor(rate %, time period)

[tex]\to -p-\frac{2p}{1.08}-\frac{4p}{1.08^2}- \frac{8p}{1.08^3}-\frac{16p}{1.08^4} =\frac{24000}{1.08^5}+ \frac{30000}{1.08^6}+ \frac{36000}{1.08^7} + \frac{42000}{1.08^8}+ \frac{48000}{1.08^9}+ \frac{24000}{1.08^{10}}\\\\[/tex]

[tex]\to -p[1+\frac{2}{1.08}+\frac{4}{1.08^2}+ \frac{8}{1.08^3}+\frac{16}{1.08^4}] = 127960.43169\\\\\to -p[24.3923427] = 127960.43169\\\\\to -p = \frac{127960.43169}{24.3923427}\\\\\to p= 5245.93\\\\\to p= 5246[/tex]

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

Answer:

.09,1/6,1/3,2/5

Step-by-step explanation:

Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3

Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.

tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10

Answer:

The common difference of the given AP is d=5.

Step-by-step explanation:

Given the sequence

[tex]10,\:15,\:20[/tex]

An Arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the common difference of all the adjacent terms

[tex]10,\:15,\:20[/tex]

[tex]15-10=5,\:\quad \:20-15=5[/tex]

As the difference between all the adjacent terms is the same and equal to

[tex]d=5[/tex]

Therefore, the common difference of the given AP is d=5.

Answer:

The correct answer is 748.72

Step-by-step explanation:

$748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

The loan amount that the lender gave to the borrower is referred to as the primary amount. Also, it is the factor the lender uses to calculate interest.

Please be aware that the amount you pay toward your loan's principal is without the interest that is charged on that amount. Your lender determines how much interest customers will pay over a specific length of time based on the amount still owing. The principle amount is simply the amount you owe their lender before interest.

principal amount =  4.75% of  $1,678.93

                           =  4.75% ×  $1,678.93

                           = $748.72

Therefore, $748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

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Write each number in complex polar form:

[tex]z=2e^{i\cdot30^\circ}[/tex]

[tex]w=5e^{i\cdot60^\circ}[/tex]

When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that

[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]

so the angle of the product zw is 90°.

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

[tex]5p^{2}[/tex]-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

You can find the angles using the unit circle. You can also find the angle using algebra.

I want to show you the algebra way.

Since cos(x) = cos(2•pi - x), this leads to two equations.

The two equations are as follows:

cos (x) = -1/2...the given problem.

We also have cos (2•pi - x) = -1/2.

To isolate x for both trigonometric equations, use the inverse trig function idea.

Equation 1

arccos(cos x) = arccos (-1/2)

x = 2•pi/3

Equation 2

arccos(cos (2•pi - x)) = arccos (-1/2).

Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.

When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.

As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.

Answer: 2•pi/3, 4•pi/3

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

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

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

Nine pieces

Step-by-step explanation:

If you multiply the 3/4 pieces until the denominator is equal to twelve the numerator would be nine

Answer:

2.576

Step-by-step explanation:

Given :

Confidence level (α) = 99%

Z(1 - α)/2 = Z(1 - 99%)/2

Z1%/2 = Z1%/ 2

Z0.5% = Z0.005

Z(0.99 + 0.005) = Z0.995

Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57

Similarly, using the Invnorm calculator function :

Invnorm(0.995) gives a Zscore of :

2.576

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.

Answer:

24

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

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

In which:

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

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

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

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Answer:

4x-2x-6=8

2x-6=8

2x=8+6

2x=14

x= 14/2

x= 7

Answer:

X=7

Step-by-step explanation:

4x-2(x+3)=8

4x-2x-6=8

2x=8+6

2x=14

X=7

Answer:

That should be 11.99+35.50+6.75+3+ 7.15% of EACH of those items added together minus 11.99+35.50+6.75+3+ 6.35% of EACH of the same items added together

Answer there is no choice, but it is x+1/3+2 1/2.

Step-by-step explanation:

Answer:

The answer is x + 2 5/6.

Step-by-step explanation:

Emilie rides her bike x miles before it gets a flat tire.

She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.

The equation would be:

x + 1/3 + 2 1/2

But, since that isn't an option, we have to simplify the equation.

x + 1/3 + 5/2

= x + [tex]\frac{2+15}{6}[/tex]

= x + 17/6

= x + 2 5/6

Thus, the answer is x + 2 5/6.

Answer:

quadrant 4

Step-by-step explanation:

Answer:

D would be the actual answer.

Step-by-step explanation:

Answer:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 27[/tex]

[tex]y = 2x - 7[/tex]

Required

Determine the point of intersection

We simply equate both equations; i.e.

[tex]y = y[/tex]

or

[tex]6x - 27 = 2x - 7[/tex]

Collect Like Terms

[tex]6x - 2x = 27 - 7[/tex]

[tex]4x = 20[/tex]

Solve for x

[tex]x = 20/4[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]y = 2x - 7[/tex]

[tex]y = 2 * 5 - 7[/tex]

[tex]y = 10- 7[/tex]

[tex]y = 3[/tex]

Hence, the point of intersection is:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Answer:

-32ft

Step-by-step explanation:

Given parameters:

Original depth of the submarine  = -18ft

New depth  = -50ft

Unknown:

Change in depth = ?

Solution:

 The change in depth will be the difference in depth between the new and original depth.

 Change in depth = New depth  - original depth

  Change in depth  = -50ft - (-18ft) = -32ft

The change in depth of the submarine is -32ft.

Answer:

C

Step-by-step explanation:

The expression that uses the commutative property is 3/5 × 25 × 1/4

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Given is an expression 3/5 × 1/4 × 25

We know that,

The commutative property of multiplication states that:

A × B × C = B × C × A

Using the above equation, we have the result of the commutative property to be:

3/5 × 1/4 × 25 = 3/5 × 25 × 1/4

Hence, the expression that uses the commutative property is 3/5 × 25 × 1/4

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Answer:

Answer: 19.2

Step-by-step explanation:

To calculate percentage, multiply the number 80 by 0.24, and the answer is 19.2.

Answer:

Erin

Step-by-step explanation:

Z score formula:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Candice:

Z score = 74 -66/4

Z score = 2

For Erin

Z score = 58 - 42/7

Z score = 2.28571

Erin z score is larger hence, he did better