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Novay_Z [31]
3 years ago
7

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in 0, therefore

Tax=0.062x

Put x=102000.

Tax=0.062(102000)

Tax=6324

So, the Social  Security tax is $6324.

Therefore, the correct option is c.

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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
2 years ago
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avanturin [10]

Answer:

Lenght: 34.51 mm

Area: 1035.33 mm^2

Step-by-step explanation:

let x be the unknown sidelength

tan(41) = 30/x

x = 34.51

multiply by 30 to get area

7 0
3 years ago
Solve for the unknown value <br> X/0.45=0.16/1.2
tekilochka [14]

Step-by-step explanation:

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2 years ago
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Mkey [24]

Answer:

a = 6

b = 48

Step-by-step explanation:

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5 0
2 years ago
Read 2 more answers
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
Maslowich

Answer:

16 pi cubic units

Step-by-step explanation:

Given that a region is bounded by

f(x)=√x, y=0, x=1, x=4

And the region is rotated about x axis.

We can find that here radius would be y value and height would be dx

So volume would be as follows:

If f(x) is rotated about x axis volume

= \pi \int\limits^b_a {y^2} \, dx \\=\pi \int\limits^4_1 {x} \, dx\\=\pi *x^2  ^4_1\\= \pi*16-1\\=15\pi

cubic units.

4 0
2 years ago
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