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3 years ago

What are the first and second steps performed in solving the inequality 2(4w + 8) – 2w + 42 > 78? Name the property used.

1 answer:

6 0

Hello :
<span>2(4w + 8) – 2w + 42 > 78
8w+16-2w+42 </span>> 78......(<span>distributivity × for + )
6w </span>> 20
w > 20/6

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Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this

Lina20 [59]

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

5 0

2 years ago

A bank quotes an interest rate as 0.06341 annual effective yield. What interest rate, compounded monthly, will provide that

Leviafan [203]

9514 1404 393

Answer:

0.06164

Step-by-step explanation:

The effective annual rate obtained by compounding nominal annual rate r monthly is ...

eff rate = (1 +r/12)^12 -1

Then the value of r is ...

r = 12×((eff rate) +1)^(1/12) -1)

For the given effective rate, that is ...

r = 12×(1.06341^(1/12) -1) ≈ 0.06164 . . . . nominal annual interest rate

4 0

3 years ago

Tony needs to create a platform shaped like the diagram with the labeled dimensions.

konstantin123 [22]

<h2>135 cubic feet of concrete are required to create the platform.</h2>

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

= 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

=108 cubic feet

<h3>∴(108+27) cubic feet = 135 cubic feet of concrete are required.</h3>

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3 years ago

Read 2 more answers

Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If o

Marianna [84]

Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

$\frac{4}{1} = \frac{8}{x}$

Now, cross multiply. (multiply 1 and 8, 4 and x.)

$4x = 8$

Now, solve.

x=2 inches.

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2 years ago

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12167 feet squared.......

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3 years ago