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We can solve this question using the formula for compound interest:

F = ?

P = $2500

i = 1.75

n = 4

Then, we have:

The value of her account after 4 years is about $2679.65.

Answer:

< 6 = 58°

< 8 = 58°

< 5 = 122°

<7 = 122°

Step-by-step explanation:

<6 = <8 because corresponding angles are equal

5y + 13 = 7y -5  Subtract 5 y from both sides

13 = 2y -5  Add 5 to both sides

18 = 2y

9 = y

Now that we know that y = 9, we plug it back into either equation

5y + 13

5(9) + 13

45 + 13

58

<5 is supplemental to <6  so 180 - 58 = 122

<8 is supplemental to < 7 so it is 122 also

Answer:

45%

Step-by-step explanation:

x * 29 = 13

x = 13/29

x = 0.448

45%

Answer:

d

Step-by-step explanation:

The number of years must be non-negative. This eliminates all of the options except for d.

Answer:

$850.14

Step-by-step explanation:

7.75% as decimal: 0.0775

788.99 x 0.0775 = 61.146725

788.99 + 61.146725 = 850.136725

850.136725 rounded to nearest cent is 850.14

So the total price of the camera with sales tax included is $850.14

To write the numbers in increasing order, we start from the most negative to the most positive:

Answer

-3.45, -3.42, 0.99, 1.99, 2.01

The first step is to collect like terms:

This is done by adding 6 to both sides of the equation

1) add 6 to both sides (option D)

2x/3 -6+6 = 2+6

2x/3 = 8

The second step is to cross multiply OR

multiply both sides of the equation by 3

2x = 8(3)

2x = 24

2) Multiply both sides by 3 (option A)

The third step is to divide both sides by 2

2x/2 = 24/2

3) Divide both sides by 2 (option B)

x = 24/2

4) x = 12 (option C)

To solve the equation

we are going to use the general formula for quadratic equations:

In our case a=2, b=-24 and c=54. Then

Then x is:

We have the following configuration for this problem:

where y is the distance, in feet, Corey stepped back.

Then, we have:

And:

Now, using the first into the second equation, we obtain:

Therefore, Corey stepped back approximately 59.71 feet.

The representative took a sample to estimate the proportion of customers that do not subscribe to movie channels.

He took a sample from the customer base and the sample proportion he gets is 22% (p = 0.22). This sample proportion is an unbiased estimator of the populations proportion, so we can use it to calculate how many customers do not subscribe to movie channels:

Answer: we can estimate that there are 1153 customers that do not subscribe to movie channels.

The area of a parallelogram can be determined by multiplying its base and height, the formula is

The area of a triangle is equal to half the product between the base and the height, following the formula:

The area of a trapezoid is equal to the product of half the sum of its bases and its height following the formula:

The price including tax is $151.16

What is tax?

A tax is a mandatory financial charge or other type of levy imposed by a governmental organization on a taxpayer (an individual or legal entity) in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers pay the correct amount of tax at the correct time and receive the correct tax allowances and tax reliefs. The earliest known taxes occurred in Ancient Egypt between 3000 and 2800 BC. Failure to pay on time (non-compliance), as well as avoidance or resistance to taxation, is illegal and punished by law. Taxes can be paid in cash or in labor equivalents and can be direct or indirect.

Selling price of TV = $167.77x0.85 (15% discount)

                               = $142.6025

Price of TV (including tax) = $142.6025x1.06 (6% tax)

                                           = $151.16

Hence, the price including tax is option (c) $151.16

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Using the z-distribution, the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

(0.1439, 0.2161).

The bounds of a confidence interval of proportions is given according to the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the parameters are described as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The values of the other parameters are given as follows:

[tex]\pi = 0.18, n = 435[/tex]

Hence the lower end of the interval is calculated as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 - 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.1439[/tex]

The upper end of the interval is calculated as follows:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 + 1.96\sqrt{\frac{0.18(0.82)}{435}} = 0.2161[/tex]

The problem asks for the 95% confidence interval for the proportion of male respondents that agree that a working mother does not hurt children is:

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Answer: 1, 2, 3, 4,6 12

Step-by-step explanation:

every single number can be divided by the answer numbes

The covid strain will take 17.33 weeks to infect 800,000 people.

To solve the given problem, we only need to utilize the exponential function formula, which is stated as

[tex]A = Pe^{rt}[/tex]

Where A is the final value,

P denotes the starting value

The rate is r and time is given by t.

Given:

The rate of spread of the new strain of covid = 12% a week

Currently the number of people infected with the virus = 100,000

To determine how long will it take before the virus has infected 800,000 people, substitute the values in the formula

[tex]A = Pe^{rt}[/tex]

[tex]800000 = 100000e^{0.12*t}[/tex]

[tex]8 = e^{0.12*t}[/tex]

[tex]ln 8 = {0.12*t}[/tex]

[tex]t = ln 8/0.12[/tex]

[tex]t = 17.33 weeks[/tex]

Therefore, the covid strain will take 17.33 weeks to infect 800,000 people.

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Answer:

they do NOT create a right-angled triangle

Step-by-step explanation:

to make a right-angled triangle the side lengths must comply with Pythagoras

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

the side lengths in this ABC triangle are :

AB² = (2 - -2)² + (2 - -1)² = 4² + 3² = 16 + 9 = 25

AB = 5

BC² = (-2 - -3)² + (-1 - 2)² = 1² + (-3)² = 1 + 9 = 10

BC = sqrt(10)

CA² = (-3 - 2)² + (2 - 2)² = (-5)² + 0² = 25

CA = 5

so, this is an isoceles triangle (2 equal legs).

the side lengths 5, 5, sqrt(10) do NOT create a right-angled triangle.

no matter how we combine their squares in the Pythagoras formula, it does not work :

10 = 25 + 25 = 50 no.

25 = 10 + 25 = 35 no.

The value of x in the figure is 3

How to find x from the figure?

Let us re -write the given values as fractions

[tex]\frac{5}{8} =\frac{x+3.25}{10} \\\\[/tex]

By applying cross multiplication method,

5(10) = 8(x+3.25)

50 =8x +26

8x = 50-26

8x = 24

x = 3

Similarly re- writing next set of vales as fractions,

[tex]\frac{2}{5} =\frac{2.5}{x+3.25} \\\\[/tex]

By applying cross multiplication method,

2(x+3.25) = 5(2.5)

2x+6.5 = 12.5

2x = 12.5 - 6.5

2x = 6

x = 3

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To find the volume of a triangular pyramid, the formula is:

So we start by finding the area of the base, which is in the shape of a right triangle in this case.

The area of a right triangle is equal to 1/2 x base x height.

We use this area to find the volume.

The volume of the triangular pyramid is 30 cubic feet.

Answer:

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Explanation:

Part 1.

The circumference of a circle can be calculated as

Where r is the radius. So, replacing r = 4 cm, we get:

C = 2π(4 cm)

C = 8π cm

Part 2.

To round the circumference to the nearest tenth, we need to replace π = 3.14, so

C = 8(3.14) cm

C = 25.1 cm

Part 3.

The area of a circle can be calculated as

A = πr²

Replacing r = 4cm, we get:

A = π(4 cm)²

A = 16π cm²

Part 4.

To round to the nearest tenth, we need to replace π = 3.14, so

A = 16(3.14) cm²

A = 50.3 cm²

Therefore, the answers are

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Answer:

A''(3, 2), B''(-1, 4), C''(2, 0)

Explanation:

For the first step, negate the y coordinate.

For the second step, add 4 to the x coordinate and 5 to the y coordinate.

[tex]A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)[/tex]

We will solve this problem thus:

Solving further we will have:

The  savings plan balance after 15 months with an APR of 6% and monthly payments of $200 is $3,123.

Given data :

The APR = 6% coincides with a .06/12 = .005 monthly interest rate

Now let determine or find the total after 15 months

Total after 15 month :

Total after 15 month = 200 [ (1 +.005^ 16) - (1 + .005] /(.005)

Total after 15 month = 200 [( 1.005 ^ 16 - 1.005] /(.005)

Total after 15 month = 200 (15.614)

Total after 15 month = $3,122.8

Total after 15 month = $3,123 (Approximately)

Therefore we can conclude that the total sum is the amount of $3,123.

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∠10 and ∠16 are Alternate exterior angles, ∠4 and ∠12 are Consecutive exterior angles, ∠12 and ∠13 are Consecutive Interior angles and ∠3 and ∠9 are Alternate Interior angles.

1. If two lines which are in the same plane are intersected by another line at two different lines, eight angles are formed, and that another line is called the transversal.

In the provided figure,

In the angles,

∠10 and ∠16, q is the transversal and these are Alternate exterior angles.

∠4 and ∠12, n is the transversal and these are Consecutive exterior angles.

∠12 and ∠13, q is the transversal and these are Consecutive Interior angles.

∠3 and ∠9, n is the transversal and these are Alternate Interior angles.

2. Referring tot the cube ABCDHGFE,

a. All planes that are parallel to the plane DEH are CBF and FGC.

b. All segments that are parallel to AB are EF, HG and DC.

c. All segments that intersect GH are EH, HG, FG and CG.

d. All segments that are skew to CD are AB, EF and HG.

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The equation b=-a is the correct equation.

What is an equation?

An equation is a statement in maths that demonstrates the equivalence of two factors by linking them with the equivalent symbol =. Equations are used to define geometric patterns in Euclidean geometry. Because the equations beneath consideration, such as implicitly equations or descriptive equations, contain an unlimited variety of solutions, the goal has started to shift: instead of directly stating the alternatives or collecting them, which again is unattainable, one utilizes equations to analyze the features of figures. This is the fundamental concept of elementary algebra, a significant mathematics discipline. Differential equations is equations in which 1 or more polynomials and its implications are involved. They are addressed by locating a functional expression that doesn't employ derivatives. Differential equations are utilized to analyze rate-related phenomena.

The equation b=-a is the correct equation.

Hence, option (a) b=-a is correct.

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We have

probability of B occurs is 5/8

probability that event A occurs given B occurs is 5/8

We have the next formula, that is the conditional probability formula

where

P(A|B)= probability of A given B

P(B)= probability of B

P(A∩B)=probability of A and B

so we need to isolate the P(A∩B) in order to obtain the probability that events A and B both occur

Answer:

y = -13

Step-by-step explanation:

a) Subtract y from both sides.

2y + 6 − y = y − 7 − y

y + 6 = −7

b) Subtract 6 from both sides.

y + 6 − 6 = −7 − 6

y = -13

The probability of the required event is [tex]\frac{1}{2}[/tex]

Number of batteries removed by Elon = 2

And then he mixed these batteries with the other two batteries

Thus total number of batteries = 4

These 4 batteries as given is identical

Now since it is given in the question that there aren't any replacements thus it means that we don't have to apply the Baye's theorem. So we can simply write it as it is mentioned below.

Thus the probability of taking out two batteries which are good without any replacement :

Probability = [tex]\frac{number of outcomes }{total number of favorable outcomes}[/tex]

Given number of outcomes = 2

Total number of favorable outcomes = 4

Thus the probability of the given event is = [tex]\frac{2}{4}[/tex]

Thus P( E ) = [tex]\frac{1}{2}[/tex]

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Answer: 46

Step-by-step explanation:

180 - 134 = 46