What is the monthly paycheck of an office manager whose salary is $57,000 per year

Answers

Answer 1

Answer: The answer to that question is $4,750

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52/36 + 19/75. Fraction form
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Katarina bought a package of 500 stickers. Each sheet in the package has 20 stickers.25% of the stickers on each sheet are hearts. The remaining stickers are stars.Drag the tiles to identify the number of heart stickers and the number of star stickers in the package.Numbers may be used once or not at all.2025100125325375475480Number of Heart StickersNumber of Star Stickers Pls tell me it really hard :(

Which measurement is not equivalent to the others?6 pints
3 quarts
36 fl. oz.
12 cups

Answers

36 Fl. oz

because 1pint=2 cups & 6x2=12
1quart=4cups & 3x4=12
and 1quart=2 pints & 3x2=6

Answer:

36 fl. oz

Step-by-step explanation:

coz 6 pints=3 quarts

12 cups=6 pints

36 fl. oz.= 4.5 cups

36 fl. oz.=1.125 quarts

36fl. oz.=2.25 pints

Help!! Math question ASAP!!!!

Answers

Hello,

Answer B

Is y=(5,t) a solution of -5x+y=-40
==>-5*5+t=-40
==>t=-40+15
==>t=-15

Now change the t to y (all is done to make you not to find the answer)
y=-15.

Prove that if AC=DF and AB=DE then BC=EF

Answers

in triangle ABC and DEF
AC =DF, [ given ]
AB =DE, [ given ]
angle A = angle D
by SAS
ABC congruent to triangle DFE
so
BC = EF, [ CPCTC]
hence proved

David invested $220 in a savings account that offers a 3% return on the investment. How many years will the value of David's investment will reach at least $400 ?

Answers

FV = PV ( 1 + i ) ^t
FV = $400, PV = $220, i = 3% = 0.03
400 = 220 * ( 1 + 0.03 ) ^t
( 1 + 0.03 ) ^t = 400 : 220 = 1.818181
t = log ( 1.03 ) 1.81818
t = 20
After 20 years his investment will reach at least $400.

Answer:

t=20

Step-by-step explanation:

What strategy would be the best to solve this problem? Ann-Marie bought apples. She kept one-third for herself and gave the rest to 4 friends. Each friend got 2 apples. How many apples did Ann-Marie buy? A. guess, check and revise B. work backwards C. use a formula D. look for patterns

Answers

Answer:

D. Look for patterns

Step-by-step explanation:

To solve :

Assume number of apples bought = x

Fraction kept = 1/3 of x

Fraction shared = (x - x/3) = (3x - x) /3 = 2x/3

Number of people who shared (2x/3) = 4 with each getting 2

Total number shared = 4 * 2 = 8

Fraction shared = total shared

2x/3 = 8

Multiply both sides by 3

(2x/3) * 3 = 8 * 3

2x = 24

x = 12

Hence, Anne-Marie purchased 12 apples

Use Pascal's triangle or the Binomial theorem to expand the binomials. 1. (3c-2d)^4
2. (2n+3)^5
3. (x^2+4)^3

Answers

$(3c-2d)^4=(3c)^4-4(3c)^3\cdot2d+6\cdot(3c)^2\cdot(2d)^2-4\cdot3c\cdot(2d)^3-(2d)^4\n\n=81c^4-216c^3d+216c^2d^2-96cd^3-16d^4\n-------------------------------\n(2n+3)^2\n=(2n)^5+5(2n)^4\cdot3+10(2n)^3\cdot3^2+10(2n)^2\cdot3^3+5\cdot2n\cdot3^4+3^5\n\n=32n^5+240n^4+720n^3+1080n^2+810n+243\n-------------------------------\n(x^2+4)^3=(x^2)^3+3(x^2)^2\cdot4+3x^2\cdot4^2+4^3\n\n=x^6+12x^4+48x^2+64$

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