Suppose You Get $100 Itunes Gift Card. Each &1.29 Song Has An Additional Sales Tax Charge Of 7% In (2024)

Answer:

$61,500

Step-by-step explanation:

$61,500

x

4.8% (.048)

=

$2952 yearly

x

30 years

=

$88,560

+

Initial Deposit of $61,500

=

$150,060

Answer:

90 degrees

Step-by-step explanation:

This question can be explained using the plan x and y axis.

Suppose you are moving from any positive point on x axis which can be considered Elm trail

let say point be (5,0).

Now you move at origin and

then take left turn,

your left turn at origin will be negative side of y axis(which can be considered Deer trail)

hence, you move on negative y axis.

Since we know that angle of intersection of x and y axis is 90 degrees.

Thus, angle measure of turn is 90 degrees.

Answer:

[tex] 4x-12= 16 +8x[/tex]

And we can subtract 4x in both sides and we got:

[tex] -12 = 16 +4x[/tex]

Now we can subtract in both sides 16 and we got:

[tex] -28 = 4x[/tex]

And if we divide both sides by 4 we got:

[tex] x = -7[/tex]

And the best solution would be:

-7

Step-by-step explanation:

For this case we assume the following equation:

[tex] 4x-12= 16 +8x[/tex]

And we can subtract 4x in both sides and we got:

[tex] -12 = 16 +4x[/tex]

Now we can subtract in both sides 16 and we got:

[tex] -28 = 4x[/tex]

And if we divide both sides by 4 we got:

[tex] x = -7[/tex]

And the best solution would be:

-7

━━━━━━━☆☆━━━━━━━

▹ Answer

x₁ = -5

x₂ = 7

▹ Step-by-Step Explanation

x² - 2x - 35 = 0

x² + 5x - 7x - 35 = 0

x(x + 5) - 7x - 35 = 0

x(x + 5) - 7(x + 5) = 0

(x + 5)(x - 7) = 0

x + 5 = 0 → 0 - 5 = -5

x - 7 = 0 → 0 + 7 = 7

x₁ = -5

x₂ = 7

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

X = -5 X = 7

Step-by-step explanation:

[tex] {x}^{2} - 2x - 35 = 0[/tex]

Write -2x as a difference

[tex] {x}^{2} + 5x - 7x - 35 = 0[/tex]

Factor out X from the expression

[tex]x(x + 5) - 7x - 35 = 0[/tex]

Factor out -7 from the expression

[tex]x(x + 5) - 7(x + 5) = 0[/tex]

Factor out x+5 from the expression

[tex](x + 5)(x - 7) = 0[/tex]

When the product of factors equals to 0, at least one factor is 0

[tex]x + 5 = 0[/tex]

[tex]x - 7 = 0[/tex]

Either,

[tex]x + 5 = 0[/tex]

[tex]x = 0 - 5[/tex]

[tex]x = - 5[/tex]

Or,

[tex]x - 7 = 0[/tex]

[tex]x = 0 + 7[/tex]

[tex]x = 7[/tex]

Hope this helps...

Best regards!!

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

[tex]P(\frac{T}{S}) = 0.95[/tex]

[tex]P(\frac{T}{S^c}) = 0.05[/tex]

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

[tex]P(S^c) = 1 - P(S)[/tex]

= 1 - 0.3

= 0.7

ii. [tex]P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}[/tex]

[tex]= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }[/tex]

[tex]= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}[/tex]

= 0.8906

iii. [tex]P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}[/tex]

[tex]= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }[/tex]

[tex]= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}[/tex]

= 0.0221

We simply applied the above formulas so that the each part could come

Answer:

0.0221

Step-by-step explanation:

Answer:

what? you need to take a picture

Step-by-step explanation:

Answer: y = -2x

Step-by-step explanation:

For a line to be perpendicular to another, it must have the opposite reciprocal slope. In this case, that means 1/2 becomes -2/1 or -2. For the line to pass through 0,0 the y intercept must be 0. Thus the line is y = -2x + 0, or y = -2x

Answer:

-80x²

Step-by-step explanation:

When you expand the binomial, you should get:

[tex]x^5-10x^4+40x^3-80x^2+80x-32[/tex]

To find the 4th term, you must put the expression in standard form (which it is already) and find the 4th by counting left to right. Once you do so you should see your answer as -80x².

Hey there! :)

Answer:

∠A = 15.6°

Step-by-step explanation:

Use trigonometry to solve for ∠A. Since this involves the opposite and adjacent sides, tangent will be used. Therefore:

24/86 = arc tan x (inverse of tangent)

0.279 = arc tan x

x = 15.59° ≈ 15.6°.

Therefore:

∠A = 15.6°

Answer: the other three angles are 83° each

Step-by-step explanation:

The Total of all the angles of a pentagon is 540° Subtract the 150 and 141.

540- 291 = 249. Divide by 3

249/3 = 83

Answer:

The probability of a bulb lasting for at most 552 hours.

P(x>552) = 0.0515

Step-by-step explanation:

Step(i):-

Given mean of the life time of a bulb = 510 hours

Standard deviation of the lifetime of a bulb = 25 hours

Let 'X' be the random variable in normal distribution

Let 'x' = 552

[tex]Z = \frac{x-mean}{S.D} = \frac{552-510}{25} =1.628[/tex]

Step(ii):-

The probability of a bulb lasting for at most 552 hours.

P(x>552) = P(Z>1.63)

= 1- P( Z< 1.63)

= 1 - ( 0.5 + A(1.63)

= 1- 0.5 - A(1.63)

= 0.5 -A(1.63)

= 0.5 -0.4485

= 0.0515

Conclusion:-

The probability of a bulb lasting for at most 552 hours.

P(x>552) = 0.0515

Answer:

What is meant by "bias due to selective survival" in cross-sectional studies?

First lets understand what is selective bias in cross-sectional studies. Basically its the bias that occurs when the random sample data for some analysis is selected in improperly. Such a selected sample is not able to represent the population that is to be analyzed. The reason is the improper randomization. So "bias due to selective survival" means that only the survival participants or survivors can be considered in this cross sectional studies. So if there is more probability of exposed cases to survive than unexposed cases or it could also be possible that unexposed cases have more probability to survive than exposed ones, so in either case the conclusion drawn from this cross sectional studies may differ from the proper cohort study. So the selective bias is introduced. Hence we can say that there is bias due to selective survival.

Step-by-step explanation:

Under what circumstances might there be no selective survival bias even if the selection probabilities are not all equal?

If the cross product of selection probabilities equals 1. Then there might be no selective survival bias even if the selection probabilities are not all equal. As we know that the cross product of odd ratio of selection probabilities is 1 means there is no relation between exposure and consequence or outcome and there is no bias in odd ratio.

Suppose that you could assess that the direction of possible selective survival bias in your study was towards the null. If your study data yielded a non-statistically significant odds ratio of 1.04, would it be correct to conclude that there was no exposure-disease association in your source population?

It would not be correct to conclude that there was no exposure-disease association in your source population because if the possible selective survival bias in the study was towards the null then this implies that the true odds ratio would be larger than 1.04. and therefore likely to be large and also differ statistically for the null value.

Answer:

Step-by-step explanation:

Such a selected sample is not able to represent the population that is to be analyzed. The reason is the improper randomization. So "bias due to selective survival" means that only the survival participants or survivors can be considered in this cross sectional studies.

Answer:

50%

Step-by-step explanation:

not even = 2 nums

pnoteven = 2 ÷ 4 × 100

We are given 4 cards.

2 numbers are even and 2 numbers are odd.

So, 2/4 or 0.5 are odd

0.5 * 100% = 50%

Therefore, the answer is 50%.

Best of Luck!

Answer:

A.

Step-by-step explanation:

When we multiply the 2 negatives together, we will get a positive number. Since choice A, when you multiply them together, you will get a positive number. Therefore, your answer choice is A.

Answer:

A. [tex]- \frac{-19}{-8} (-50)[/tex]

Step-by-step explanation:

The product between two negative numbers is a possitive number. Then, if we multiply (-8) in the denominator by the (-1) we get:[tex]- \frac{-19}{-8} (-50)=\frac{-19}{-8\times{(-1)}} (-50)=\frac{-19}{8}(-50)[/tex], which equals the expression above.

Answer:

x = 6, y =3, and the minimum = 45

Step-by-step explanation:

There are plenty of ways to solve this problem.

The Lagranian multiplier method is chosen (it is simple to apply in this case).

Given: A = x^2 + y^2

Find: x and y that satisfy 4x + 2y = 30 or 4x + 2y - 30 = 0 and A is minimum.

This is the same as finding x, y, and lambda that make the following L minimum.

L= x^2 + y^2 + lambda(4x + 2y - 30)

To find x, y, and lambda, we take the derivative of L with respect to them, set the derivative to 0, and solve the equations.

L'(x) = 2x + 4(lambda) = 0 (1)

L'(y) = 2y + 2(lambda) = 0 (2)

L'(lambda) = 4x + 2y - 30 = 0 (3)

Multiply (2) by 2 and subtract to (1), we have:

4y - 2x = 0 (*)

Combine (*) with (3) we have:

4y - 2x = 0

4x + 2y - 30 = 0

Multiply the 1st equation by 2 and add to the 2nd equation:

=> 10y - 30 = 0

=> y = 3

=> x = 4y/2 = 4(3)/2 = 6 (as (*))

=> lambda = -y = -3 (as (2))

Substitute x = 6, y = 3, and lambda = -3 into L, or substitute x = 6 and y = 3 into A to get the minimum.

Both ways would lead to the same answer.

Check:

L = x^2 + y^2 + lambda(4x + 2y - 30)

= 6^2 + 3^2 + (-3)[4(6) + 2(3) - 30]

= 36 + 9 + (-3)(0)

= 45

A = x^2 + y^2

= 36 + 9

= 45

Hope this helps!

Answer:

second option

Step-by-step explanation:

The slopes of perpendicular lines have a product of -1. The slope of this line is 3 from the graph so the slope of our line will be -1/3. We know the slope of the line and a point (F, G) that belongs to the line so we can use point-slope form.

Point-slope form: y - y₁ = m(x - x₁) and we know that m = -1/3 and (x₁, y₁) = (F, G) so the answer is y - G = -1/3(x - F).

Answer:

d. solid cone

Step-by-step explanation:

Solid revolution is the general method used for revolving a given figure about a reference plane to produce a required solid. This process involves the generation of a 3 dimensional shape from a 2 dimensional figure.

A triangle is a three sided figure which generates a solid or hollow cone when it revolves about a given line. If the given triangle is made to revolve about the line, the resulting object would be a solid cone.

Answer:

the answer would be a solid cone

Step-by-step explanation:

i took the test and got it right.

BRAINLIEST PLS PLS PLS PLS I RLY NEED IT

Answer:

6026

Step-by-step explanation:

6072 × (1 - 0.76%)

6072 × 0.9924

= 6025.8528

Round to the whole number.

The enrollment for next semester will be 6026.

Answer:

-8

Step-by-step explanation:

Replace the x in f(x) = 2 • 2x with -2

f(-2) = 2 × 2 × (-2) ➡ f(-2) = -8

Answer:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And replacing we got:

[tex]\mu_{\bar X}= 2.2[/tex]

[tex]\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \mu = 2.2[/tex] represent the mean

[tex]\sigma = 6[/tex] represent the deviation

We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And replacing we got:

[tex]\mu_{\bar X}= 2.2[/tex]

[tex]\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6[/tex]

Answer:

Area of ring = 462 cm²

Perimeter of ring = 44 cm

Step-by-step explanation:

Given,

radius of inner ring = 7 cm

radius of outer ring = 14 cm

To find,

Area and perimeter of ring

Formula:

Area of circle = π Radius²

Perimeter of circle = 2π Radius

Area of inner ring = π Radius²

⇒ [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex]

⇒ 22 × 7

⇒ 154 cm²

Area of outer ring = π Radius²

⇒ [tex]\frac{22}{7}[/tex] × [tex]14^{2}[/tex]

⇒ 22 × 14 × 2

⇒ 616 cm²

∴ Area of ring = 616 - 154 = 462 cm²

Perimeter of inner ring = 2π Radius

⇒ 2 × [tex]\frac{22}{7}[/tex] × 7

⇒ 44 cm

Perimeter of outer ring = 2π Radius

⇒ 2 × [tex]\frac{22}{7}[/tex] × 14

⇒ 88 cm

∴ Perimeter of ring = 88 - 44 = 44 cm

Answer:

66.992%

Step-by-step explanation:

[tex]Sales, S(t)=7-6\sqrt[3]{t}[/tex]

Since we want to maximize revenue for the government

Government's Revenue= Sales X Tax Rate

[tex]R(t)=t \cdot S(t)\\R(t)=t(7-6\sqrt[3]{t})\\=7t-6t^{1+1/3}\\R(t)=7t-6t^{4/3}[/tex]

To maximize revenue, we differentiate R(t) and equate it to zero to solve for its critical points. Then we test that this critical point is a relative maximum for R(t) using the second derivative test.

Now:

[tex]R'(t)=7-6*\frac{4}{3} t^{4/3-1}\\=7-8t^{1/3}[/tex]

Setting the derivative equal to zero

[tex]7-8t^{1/3}=0\\7=8t^{1/3}\\t^{1/3}=\dfrac{7}{8} \\t=(\frac{7}{8})^3\\t=0.66992[/tex]

Next, we determine that t=0.6692 is a relative maximum for R(t) using the second derivative test.

[tex]R''(t)=-8*\frac{1}{3} t^{1/3-1}\\R''(t)=-\frac{8}{3} t^{-2/3}[/tex]

R''(0.6692)=-3.48 (which is negative)

Therefore, t=0.66992 is a relative maximum for R(t).

The tax rate, t that maximizes revenue for the government is:

=0.66992 X 100

t=66.992% (correct to 3 decimal places)

Answer:

[tex]\approx 118.4[/tex]

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

[tex]c^2=a^2+b^2-2abcos(C)[/tex], where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

[tex]c^2=115^2+178^2-2(115)(178)cos(41)[/tex]

[tex]c^2=44909-40940cos(41)[/tex]

[tex]c=\sqrt{44909-40940cos(41)}[/tex]

[tex]c \approx 118. 4[/tex]

Answer:

-9≤y≤8

Step-by-step explanation:

The range is the output values

Y goes from -9 to 8

-9≤y≤8

Answer:

-9≤y≤8

Step-by-step explanation:

That is the correct answer on plato.

Answer:

2699

Step-by-step explanation:

you do all the multiplication first

500×6= 3000

5 ×50 = 250

so it becomes

3000-51-250 = 2699

Answer:

2699

Step-by-step explanation:

Answer:

Line: I(x)= 28x+400

Step-by-step explanation:

Initial amount= $400

Interest rate= 7% simple

Total interest:

Year 1= $400+7%= 400+ 400*0.07= 400+28= 428Year 2= $400+2*7%= 400+400*0.07*2= 400+56= 456Year 3= $400+7%*3= 400+400*0.07*3= 400+84= 484Year 4= $400+7%*4= 400+400*0.7*4= 400+112= 512

The graph for this function will be a line with equation:

I(x)= 400+400*0.07x= 28x+400, where I- interest, x- year

Answer:

a) SE = 25

b) MOE = 41

c) CI = 1951 ; 2049

Step-by-step explanation:

Normal distribution

Population mean unknown

Population standard deviation σ = 350 Kwh

a) The standard error of the mean SE is

SE = σ/√

SE = 350 /√196

SE = 350/14

SE = 25

b) If confidence nterval is 95% or 0,95 then

α = 0,05

And from z table we get z(c) = 1,64

MOE = z(c) * SE

MOE = 1,64 * 350/√196

SE = 1,64 * (350)/14

SE = 41

MOE = And from z tabl we get z(c) = 1,64

MOE = 1,64 * 350/√196

MOE = 1,64 * (350)/14

MOE = 1,64 * 25

MOE = 41

c) The confidence interval is:

Z = 2000

α = 1- 0,95

α = 0,05 ⇒ α/2 = 0,025

CI = Z - z(α/2) * σ/√n ; Z + z(α/2) * σ/√n

z(α/2) from z-table is: z(0,025) = 1,96

CI = 2000 - 1,96* 350/√196 ; 2000 + 1,96* 350/√196

CI = 2000 - 1,96*25 ; 2000 + 1,96*25

CI = 2000 - 49 ; 2000 + 49

CI = 1951 ; 2049

Answer:

33 lbs 10 ounces

Step-by-step explanation:

13 lb 14oz

+ 30 lb 12 oz

================

32 lbs 26 oz

But we know that 16 ounces 1 1 lb

Subtract 16 ounces and add 1 lb

32 lbs 26 oz

+1 lb - 16 ounces

==================

33 lbs 10 ounces