MATHEMATICS HIGH SCHOOL

Identify the property illustrated by 3x + 4 = 4 + 3x

Answers

Answer 1
Answer: Explanation:

Answer:
All real numbers are solutions
Answer 2
Answer:

Answer:

All real numbers are solutions

Step-by-step explanation:

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Sally needs to have some drywall and insulation work done in her house. She has received a quote from a professional drywall contractor to complete her repairs for $1,200. Her neighbor Steve says he can complete the same job for $800. Sally could use a credit card to pay the contractor, but Steve can only accept cash. Sally’s credit card has a 14% APR for credit purchases and a 32% interest rate for cash advances. Expecting to pay $50 of the principle plus appropriate interest each month, Sally estimates that it would take her 24 months to pay off the contractor balance and 16 months to pay off the cash advance balance. In the end, would it be cheaper for Sally to hire the contractor or her neighbor to complete the repairs?

Answers

Answer:

Sally can chose Steve to work with.

Step-by-step explanation:

We will calculate EMI for both the contractor and Steve.

Contractor:

EMI formula = (p*r*(1+r)^(n) )/((1+r)^(n)-1 )

p = 1200

r = 14/12/100=0.0116

n = 24

Putting values in formula we get,

(1200*0.0116*(1.0116)^(24) )/((1.0116)^(24)-1 )

= $57.62

So, for $1200 at 14% for 24 months, Sally would have to pay $57.62 per month, or 57.62*24 = $1382.88 after 24 months.

Steve:

Similarly putting these values : (p=800, r=32/12/100= 0.0266 and n=16) in above formula we get, $62.08 per month or 62.08*16= $993.28 after 16 months.

Hence, even with the higher interest rate, Sally would pay:

1382.88-993.28 = $389.60 less if she chooses to work with Steve.

Though the monthly payments are almost same for the given timelines, still Sally can chose Steve.
It said the correct answer was the contractor 

How many solutions does this system have?Y=x+5
Y=-5x-1

One
None
Infinite
Two

Answers

Infinite
Put both in on Desmos calculator and all the point its give you is about 5+ different ones

One of the largest lotto wins was 22,590829 . Round this amount to the nearest 100,000 ?

Answers

The answer is 22,600,000. Hope this helps
22590829=22600000
is ur answer

Which of the numbers below are exactly divisible by 9 115 504 968 646 882

Answers

504 and 882 are both exactly divisible by 9, which means that the quotient will come out as a whole number with no decimals when the number is divided by, in this case, 9. 

Final answer:

Applying the rule that a number is divisible by 9 if the sum of its digits is divisible by 9, we find that 504 and 882 from the list (115, 504, 968, 646, 882) are divisible by 9.

Explanation:

To identify numbers that are divisible by 9, we can follow this rule: A number is divisible by 9 if the sum of its digits is divisible by 9. So, applying this rule to the numbers given (115, 504, 968, 646, 882), we find:

115: 1+1+5 = 7, which is not divisible by 9.

504: 5+0+4 = 9, which is divisible by 9. So 504 is divisible by 9.

968: 9+6+8 = 23, which is not divisible by 9.

646: 6+4+6 = 16, which is not divisible by 9.

882: 8+8+2 = 18, which is divisible by 9. So 882 is divisible by 9.

Learn more about divisibility here:

brainly.com/question/2273245

#SPJ2

Kevin is looking at two brands of washing machines. Between water and electricity, a Brand C washer uses about $0.65 per load, and a Brand D washer uses about $0.27 per load. Kevin averages about five loads of laundry per month. After one year, how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer?a.
$22.80
b.
$16.20
c.
$7.60
d.
$19.00

Answers

Answer:

a.  $22.80

Step-by-step explanation:

Given :

Brand C washer uses about $0.65 per load

Brand D washer uses about $0.27 per load

Kevin averages about five loads of laundry per month.

To Find :how much more would the utility costs for a Brand C washer be than the utility costs for a Brand D washer after one year?

Solution :

The utility cost of Brand C washer  per load = $0.65

Since she uses 5 loads per month

So, she uses loads in 12 months(=1year) = 5*12 =60 loads

Now cost of 60 loads is 60*0.65 = $39

Thus the utility cost of Brand C for 1 year is $39

The utility cost of Brand D washer  per load = $0.27

Since she uses 5 loads per month

So, she uses loads in 12 months(=1year) = 5*12 =60 loads

Now cost of 60 loads is 60*0.27 = $16.2

Thus the utility cost of Brand D for 1 year is $16.2

The difference between their 1 year costs = $39-$16.2 = $22.8

Thus the utility costs for a Brand C washer will be $22.8 more than the utility costs for a Brand D washer.

Hence Option A is correct.
The correct answer is A. $22.80.

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value  .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

f(x)=A(1+r)^x, where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

f(4)=60(1.15)^4\approx104.94

Now, at x=6

f(6)=60(1.15)^6=138.78\approx139

Now, at x=7.86

f(7.86)=60(1.15)^(7.86)=179.98180=3(60)

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

f(8)=60(1.15)^8=183.54\approx184
The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)
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