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Natalka [10]
3 years ago
15

Algebra mid-unit review quiz Unit 3 lesson 5

Mathematics
1 answer:
Kipish [7]3 years ago
3 0
Please check, i'm not entirely sure but i'm decent enough. 
1 is A 2 is D3 is B
Good luck. 
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I know that 8,000 ÷ 800 = 10 because the 8 in 8,000 represents __________
ozzi
The 8 in 8,000 represents 1,000 times what it represents in 8 or 1's place value.
4 0
3 years ago
Paddy and Anna each invest $2000 for 5 years.
Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = P(1+rt)

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125

Formula to compute compound amount : P(1+r)^t

=2000(1+r)^5

When both have same worth then

2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625

taking log on both sides , we get

5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%

Hence, Value of r= 1.22

6 0
3 years ago
Tonja is a married taxpayer who claims 2 withholding allowances. She earns
viva [34]

The amount that Tonja will save in Federal Income and FICA Taxes if she has her childcare expenses deducted from her check before taxes is: $26.17

<h3>What is Federal Income Tax?</h3>

Federal Income Tax is a tax that is levied by the Federal Government and most states in the United States of America. It comprises of 7 tax rates.

<h3>What is FICA Tax?</h3>

FICA Tax is a Federal Insurance Contributions Act Tax. This tax is levied on every payroll of employees to fund Social Security and Medicare programs. This is divided into two parts:

  • Social Security Tax which is 6.2% and
  • Medicare Tax which is 1.45%. The total is 7.65%

How to calculate Tonja's Tax before deduction

Federal Tax rate first level is 10% on 0$ - $19,900.

1) Hence, the first tax is 10% on $600, which is $60

2) The next tax is FICA. This is applied to the Gross Pay of $600.

Applying both taxed under FICA we have 7.65% * $600 = $45.9

Total Tax before a deduction is:

$60 + $45.9 = $105.6

The Tax Payable if childcare expenses is deducted first will be:

10% on $450     = $45

7.65% on $450 = $34.43

Total                   = $79.43

Hence the tax savings will be:

105.6 - 79.43 = $26.17

Learn more about FICA Tax at:
brainly.com/question/3214345


3 0
2 years ago
medical students use a three-dimensional reproduction of a human skeleton to learn about bones. which item describes this learni
Nataly [62]

A plastic skeleton is

Answer: B. a physical model.

The world has lots of different kinds of models. A mathematical model might be a ball travels according to the equation y = v_0 t - \frac 1 2 gt^2. This isn't that. A computer model would be a program that somehow simulates a skeleton in the computer, this isn't that either. Our skeleton is an actual physical model just like a model airplane.


4 0
3 years ago
A student compared the amount (in dollars) they spent on books each week. The box plot shows the results. The median amount they
Nina [5.8K]

the answer you look for is: $50; $45

8 0
3 years ago
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