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Airida [17]
3 years ago
13

Mike earns $6.50 per hour plus 4% of his sales enter an equation for mikes total earnings, e, when he works x hours and has a to

tal of y sales, in dollars.
Mathematics
2 answers:
balandron [24]3 years ago
7 0

Answer: e= 6.50x + y 0.04

Step-by-step explanation:

Hi, to answer this question we have to multiply the number of hours he works (x) by the earnings per hour ($6.50), add the product of the total sales (y) and the percent of sales he gets in decimal form (0.04 = 4/100).

That expression must be equal to the total earnings (e)

Mathematically speaking:

e= 6.50x + y 0.04

Cerrena [4.2K]3 years ago
3 0
First identify what each variable means. since X is the amount of hours he works, and he makes $6.50 an hour, you know you need to multiply those two numbers together creating the 6.50x. You also know Y is his total sales, and he earns 4% of Y. To find 4% of Y you need to turn the percent into a decimal, and to do this you move the decimal two spaces to the left. Since 4 is a whole number, the decimal is after the 4 so you get .04 as your decimal. Then youd multiply .04 by Y getting .04y. Lastly you add 6.50x + .04y to get E, mikes total earnings. So your final equation is

6.50x + .04y = e

Hope this all makes sense 

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Twenty men can cut thirty trees in four hours. If four men leave the job, how many
Mice21 [21]

Answer:

As in 4 hours , 20 men can cut 30 trees. So, in 1 hour , 20 men can cut 30 trees / 4. So, in 6 hours, 20 men can cut 30 * 6 trees / 4 = 45 trees.

Step-by-step explanation:

done

8 0
3 years ago
Help me please!!! :(
Archy [21]

Answer:

There is no solution because the graphs do not intersect

Step-by-step explanation:

Both of theses equations do intersect with one another when graphed. In conclusion, there is no solution.

6 0
3 years ago
How many positive integers less than 1000 a) aredivisibleby7? b) are divisible by 7 but not by 11? c) are divisible by both 7 an
notsponge [240]

Answer:

a.142 b.130 c.12 d.220 e.208 f.779 g.720

Step-by-step explanation:

How many positive integers less than 1000 (from 1 to 999)

a) are divisible by 7?

999/7=142,71

then there are 142 integers that are divisible by 7

7*1=7

7*2=14

7*3=21

...

7*141=987

7*142=994

b) are divisible by 7 but not by 11?

as 7 and 11 are prime numbers

7*11=77

999/77=12.97

142-12=130

c) are divisible by both 7 and 11?

999/77=12.97

then there are 12 integers that are divisible by both 11 and 7 below 1000

d) are divisible by either 7 or 11?

999/7=142.71

999/11=90.81

then the numbers that are divisible either by 7 or 11 is

142+90-12(the numbers that are counted in both grups 'divisible by 7' and 'divisible by 11')

220

e) are divisible by exactly one of 7 and 11?

[142('divisible by 7')-12('divisible by both')]+[90('divisible by 11')-12('divisible by both')]

208

f) are divisible by neither 7 nor 11?

999('all the positive integers below 1000)-220('are divisible by either 7 or 11')

779

g) have distinct digits?

For evey digit x from 0 to 9

0xx,1xx,2xx,3xx,4xx,5xx,6xx,7xx,8xx,9xx 10 options

xx0,xx1,xx2,xx3,xx4,xx5,xx6,xx7,xx8,xx9 10 options

x0x,x1x,x2x,x3x,x4x,x5x,x6x,x7x,x8x,x9x 10 options

and xxx one option

for each of the first three rows we have to sustract the option in wich the three digits are the same digit.

for the 0 we have to sustract the 000 of the fourth row as it is not a positive number.

10 (different digits)*(9+9+9+1)(different combinations for each number)-1(the 000)=279

999-279=720

8 0
3 years ago
Suppose an individual wants to have exactly $400,000 available for her child's education. (a) Find the amount that would have to
Airida [17]

Answer:  a) $135,838.21           b) $46,130.05

<u>Step-by-step explanation:</u>

A=P\cdot e^{rt}

  • A: accrued amount (balance)
  • P: principal (initial amount invested)
  • r: interest rate (in decimal form)
  • t: time

(a) Given:

  • A = 400,000
  • P = unknown
  • r = 12% = 0.12
  • t = 9

400,000=P\cdot e^{(0.12)(9)}\\\\400,000=P\cdot e^{1.08}\\\\\dfrac{400,000}{e^{1.08}}=P\\\\\large\boxed{135,838.21}

(b) Given:

  • A = 400,000
  • P = unknown
  • r = 12% = 0.12
  • t = 18

400,000=P\cdot e^{(0.12)(18)}\\\\400,000=P\cdot e^{2.16}\\\\\dfrac{400,000}{e^{2.16}}=P\\\\\large\boxed{46,130.05}

3 0
3 years ago
What is the answer to 7=100z
Rama09 [41]
Divide both sides of the equation by the same term
7/100=100z/100
Simplify
Cancel the terms that are in both The numerator and the denominator
Move the variable to the left
Z=7/100
6 0
3 years ago
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