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Murrr4er [49]
2 years ago
13

Maribel is offered a job as a paralegal at an annual base salary of $47,000. In addition, the company will pay the following ben

efits: a retirement contribution that is 10.5% of Maribel’s base salary, disability insurance totaling $338, medical insurance totaling $6,500, and a year-end bonus of 17% of her base salary. What is the annual value of this job to Maribel?
Mathematics
1 answer:
Misha Larkins [42]2 years ago
5 0

Answer:

66763

Step-by-step explanation:

47000*(1+0.105+0.17)+338+6500

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Find the slope of the line that passes through<br> (10, 1) and (6,2)
Daniel [21]

Answer:

m=-1/4

Step-by-step explanation:

2-1/6-10=1/-4

-1/4 is the slope

7 0
2 years ago
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Karen is working on her math homework. She solves the equation
Gelneren [198K]
Disagree.
b/8 = 56; multiply both sides by 8 to solve for b, and you get b = 448
5 0
3 years ago
How can you compare prices at two different stores by finding the constant of proportionality
dimaraw [331]

Answer:

The constant of proportionality gives you the price per unit at each store.

Step-by-step explanation:

If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is

y = kx

where k is the constant of proportionality.

k = y/x

k has the units of cost per unit, for example, dollars per ounce.

The fewer the dollars per ounce, the better the deal you are getting.

If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?

At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz

At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz

The apple sauce is cheaper at Store A.

8 0
3 years ago
A submersible traveling at a depth of 250 feet dives at an angle of 15 degrees with respect to a
kipiarov [429]

Answer:

\boxed{\text{652 ft}}

Step-by-step explanation:

The submersible is diving at a down angle of 15° along the hypotenuse AC of triangle ABC.  

Its horizontal track along the surface AB is 1500 ft.

\begin{array}{rcl}\tan A & = &\dfrac{BC}{AC}\\\\\tan 15^{\circ} & = & \dfrac{a}{1500}\\\\0.2679 & = & \dfrac{a}{1500}\\\\a & = & 1500 \times 0.2679\\& = & \textbf{402 ft}\\\end{array}

The submersible was already at a depth of 250 feet when it began the dive.

New depth = 250 + 402 = 652 ft

\text{The depth after the dive is }\boxed{\textbf{652 ft}}

6 0
3 years ago
Find the number b such that the line y = b divides the region bounded by the curves y = 25x2 and y = 1 into two regions with equ
Dennis_Churaev [7]

Answer:

y=1/∛4 divides the area in half

Step-by-step explanation:

since the minimum value of x² is 0 (for x=0 ) and for y=1

1 = 25*x² → x= ±√(1/25) = ±1/5

then the total area between y=1  and y = 25*x²  is bounded to  x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus

Area below x=C = Area above x=C

Area below x=C = Total area -  Area below x=C

2*Area below x=C = Total area

Area below x=C = Total area /2

∫ 25*x² dx from x=c to x=-c =  1/2 ∫ 25*x² dx from x=1/5  to x=-1/5

25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]

2*c³/3 = (1/5)³/3

c = 1/(5*∛2)

thus

y=25* x²  = 25*[1/(5*∛2)]² = 1/∛4

thus the line y=1/∛4 divides the area in half

4 0
2 years ago
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