Which is the closest synonym for the word upstage?

A. compliment
B. aid
C. deceive
D. outshine

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The distinction between present value and future value is that the former is required now and the latter is needed at a future period

What is the difference between present value and future value?

The present value indicates today's worth or dollars of a future value  of a  flow whereas the future value determines the future worth of an investment or deposit made today or deposits over a number of years at a time in the future

The amount that Claudia would have in a year's time is future value because the present value is the initial deposit made today

The amount that Steven would  have to deposit today in order to accumulate $400,000 in 15 years is the present value

The amount that a deposit of $4,500 made today would worth in 6 years is the future value because the initial deposit is the present value.

Joe would have to deposit payments in expectation of future value after 3 years and the deposit required today to earn a rate of return of 5% in order to have $1000 in 5 years is a present value

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Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

Answer: 1/2

Hope this helps :)

Answer:

Step-by-step explanation:

As per question, 4 out of 50 do not have interstates.

Find the percent value:

Answer:

a) Expected Value of Claims = $32,000

b) Average premium per claim, in order to break-even on claim costs

= $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

= $5,393.33 per policy

Step-by-step explanation:

a) Data and Calculations:

Amount of Claim      Probability   Expected Value

$0                               0.60             $0

$50,000                     0.25             $12,500

$100,000                   0.09                 9,000

$150,000                   0.04                 6,000

$200,000                  0.01                 2,000

$250,000                 0.01                 2,500

Expected Cost of claims =          $32,000

b) Average premium per claim, in order to break-even on claim costs

= Total Claim cost divided by number of policies

= $32,000/6 = $5,333.33

c) To make a profit of $60 per policy (i.e. a total profit of $360 ($60 x 6), it must charge:

Total Claim cost + Total profit / 6 or Average Premium plus Profit per policy =

= ($32,000 + $360)/6 or $5,333.33 + $60

= $32,360/6 or $5,393.33

= $5,393.33

The total expected value is $32000, the average premium so that it breaks even on its claim  costs are $5333.33 and the company charge to make a profit of $60 per policy is $5393.33.

Given :

The table shows claims and their probabilities for an insurance company.

Amount of Claim          Probability               Expected Value

$0                                      0.60                             0

$50000                             0.25                            $12500

$100000                            0.09                            $9000

$150000                            0.04                             $6000

$200000                           0.01                              $2000

$250000                            0.01                             $2500

A) So, the total expected value is = 12500 + 9000 + 6000 + 2000 + 2500

                                                   =  $32000

B) The average premium is given by:

\(=\dfrac{32000}{6}\)

= $5333.33

C) The company charge to make a profit of $60 per policy is:

\(= \dfrac{32000+360}{6}\)

\(=\dfrac{32360}{6}\)

= $5393.33

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Answer:

I cant see

Step-by-step explanation:

Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds

We have to find the volume of water in the aquarium.

Recall the shape of the aquarium is a rectangular prism. Therefore,

volume = lwh

where

Therefore,

l = 3 ft

w = 2 ft

h = 1.5 ft

volume =  3 × 2 × 1.5

volume of water = 9 ft³

Therefore,

1 ft³= 62 pounds

9 ft³ = ?

cross multiply

weight of water = 9 × 62

weight of water = 558 pounds

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Answer:

B. 17°

Step-by-step explanation:

7x + 28° + 33° = 180°{ being linear pair }

7x = 180° - 33° - 28°

7x = 119°

x = 17°

Hope it will help :)✔

The true statements are:

The marked up price of chicken before 10pm is $6

The 50% mark down is taken off the marked up price

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Price after the mark up= (1 + mark up) x initial price

1.50 x 4 = $6

Price after the mark down = (1 - percentage mark down) x price after mark up

0.50 x $6 = $3

Here are the options:

The marked up price of chicken before 10pm is 6

The 50% mark down is taken off the marked up price

The chickens sell for $4 after 10pm

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Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

Answer:

y = -10x -6

Step-by-step explanation:

The solution of compound interest problem using formula of amount  is

Anna have$2,734 more money than  Hudson.

Compound interest is a type of interest in which the interest gained is added to the principal sum before the interest for the subsequent period is calculated using the updated total sum. In other words, in addition to the initial principal, the accumulated interest from prior periods is also taken into account for calculating interest. As a result, as time passes, the interest earned increases, increasing the total amount earned or due. Savings accounts, loans, and investments frequently use compound interest.

For continuous compounding, the formula is:

A = Pe^(rt)

Where:

A = the amount after t years

P = the principal amount

r = the annual interest rate (as a decimal)

t = the time in years

For daily compounding, the formula is:

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

Where:

A = the amount after t years

P = the principal amount

r = the annual interest rate (as a decimal)

n = the number of times compounded per year

t = the time in years

Using these formulas, we can calculate the amount that Anna and Hudson will have after 10 years, and then find the difference between them.

For Anna's investment:

r = 8.5% = 0.085 (as a decimal)

t = 10 years

P = $69,000

A = Pe^(rt) = 69000 * e^(0.085*10) = $156,794.63

For Hudson's investment:

r = 8 3/8% = 8.375% = 0.08375 (as a decimal)

n = 365 (daily compounding)

t = 10 years

P = $69,000

A = P(1 + r/n)^(nt) = 69000(1 + 0.08375/365)^(365*10) = $154,060.52

Therefore, the difference between the two amounts is:

$156,794.63 - $154,060.52 = $2,734.11

So Anna will have approximately $2,734 more in her account than Hudson after 10 years.

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Answer:

x = 3

Step-by-step explanation:

x + y = 21

y = 6x

Since y = 6x, this is added to the equation above

x + 6x = 21

6x + x = 7x

7x = 21

/7    /7

x = 3

Answer:

Step-by-step explanation:

Samir total cups = 1 + 3 = 4

% melon = 1/4 x 100 = 25%

Kylie total cups = 2 + 9 = 11

% melon = 2/11 x 100 = 18%

Samir's is more melony.  25% > 18%

we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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The value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

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Answer:

The answer is B) 90 cm^2

Step-by-step explanation:

The area of the rectangle and the triangle are

\(rect = 10 \times 8 =80 \\ tria = 0.5 \times 4 \times 5 = 10 \\ the \: total \: area \: is \: 80 + 10 = 90\)

I hope that is useful for you

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

  a) -900 L/min

  b) 63000 L

  c) v = -900t +63000

  d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

  (t, v) = (20, 45000) and (70, 0)

The rate of change is ...

  Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

__

b) In the first 20 minutes, the change in volume was ...

  (20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

  initial volume -18000 = 45000

  initial volume = 63,000 . . . . liters

__

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

  v = -900t +63000

__

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

  v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Answer:

A.

Step-by-step explanation:

Check the attachment below for more detailed explanation

Answer:

m = -1; b = 2

Step-by-step explanation:

the first step in solving this equation is to find the slope

so we use the equation (y2-y1)/(x2-x1)

so with this the equation is

(4 - 3)/(-2 + 1)

then it would be 1/-1

that is -1

so the function so far is f(x) = -x + b

to find the b you would plug in the coordinates

we can plug in the first set

3 = 1 + b

b = 2

so the m is -1 and the b is 2

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

$20

Step-by-step explanation:

if you look at the graph it shows that cappie canoes charges $25 for 3 hours but for every 2 hours they get a $5 discount so 25-5=20

Answer:    2/15

Step-by-step explanation:
S: student wearing an sneakers
W: student wearing a white sneakers

Data given:

P(S) = 5/12
P(S∩W) = 8/25

so to find
P(W) = P(S)*P(S∩W) =  8/25* 5/12 = 2/15

This is 2/15 of the total students wears white sneakers

Answer:

2/15 of the student body normally wears white sneakers

Step-by-step explanation:

5/12

multiplied by

8/25

equals

40/300 = 4/30 =

after simplification

2/15

Answer:

t = 15

Step-by-step explanation:

t - 12 = 3

t = 3 + 12

t = 15