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2 years ago

7

Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over th

e next five years, he gets an increase of $3,000 every year.

1 answer:

KonstantinChe [14]2 years ago

5 0

The answer is 88,000

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What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth WILL GIVE BRAINLIEST

Alisiya [41]

Answer:

Im not too sure given yopur formatting, but I believe you meant this: -((3/8)/(-1/4))

therfore, the answer is: 3/2

Step-by-step explanation:

You can seperate the two fractions as 3/8 divided by -1/4, which is equal to 3/8 * 4/-1, simply multiply across to get 12/-8, which simplifies to -3/2. Flip the sign to get 3/2

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2 years ago

Find the midpoint of the segment between the points (3,17) and (−14,−8)

mixas84 [53]

Answer:

$\large\boxed{\left(-\dfrac{11}{2},\ \dfrac{9}{2}\right)}$

Step-by-step explanation:

The formula of a midpoint between two points A(x₁, y₁) and B(x₂, y₂):

$M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

We have the points (3, 17) and (-14, -8).

Substitute:

$M(x,\ y)\\\\x=\dfrac{3+(-14)}{2}=\dfrac{-11}{2}\\\\y=\dfrac{17+(-8)}{2}=\dfrac{9}{2}$

5 0

2 years ago

Read 2 more answers

Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must

Roman55 [17]

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

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2 years ago

Becky is an experienced swimmer. The table contains data on her times in the 100-meter freestyle event for each year over the pa

Sauron [17]

Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99

option b is the correct answer.

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2 years ago

Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:

Ilya [14]

Answer:

This $6(2)^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.

Step-by-step explanation:

It is given that,

Luis has saved $6 and he doubles the amount each week.

So, the amount saved in the next week = 6×2 = 12

This gives the amount saved in the third week = 12×2 = 24

So, we get the sequence 6, 12, 24, 48,.....

It can be written as, 6×2⁰, 6×2¹, 6×2², 6×2³,.....

So, the sequence in the exponential form $6(2)^{n-1}$ , where 'n' is a natural number.

Also, 6, 12, 24, 48,.....

The numbers are increasing by the factor = $\frac{12}{6}=\frac{24}{12}=....=2$

Hence, we get,

This $6(2)^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.

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2 years ago