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Sauron [17]
2 years ago
10

The sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price. What is the total amount paid for

the refrigerator?
Mathematics
1 answer:
deff fn [24]2 years ago
4 0

The amount paid for the refrigerator is $740.25.

<h3>How to calculate the price?</h3>

From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.

The price of the refrigerator will be:

= $705 + (0.05 × $705)

= $705 + $35.25

= $740.25

Therefore, the amount paid for the refrigerator is $740.25

Learn more about price on:

brainly.com/question/1153322

#SPJ1

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It can't they have no common factor
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Which pair of words is the ODD one out. A. sister-brother, B. wife-husband, C. teacher-student or D. princess-prince
wel

Answer:

C. teacher-student

Step-by-step explanation:

the pattern is girl, boy, girl boy, and teacher and student don't have a gender connection

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35 POINTS! BRAINLIEST! Please help! SHOW WORK!!
shtirl [24]

the solution is here,

the coordinate of centre of circle A is (3,2)

and the coordinate of centre of circle B is (3,0).

so the translation point from A to B is (3-0,0-2)=(3,-2).

Now the translation rule is given by (x+h,y+k)

where h is the tranalation anlong the x-axis and k is the translation along the y-axis.

For this problem, translation ruleis (x+3,y-2).

Then, radius of circle A(r1)=2 units

radius of circle B (r2)= 3 units

as the circle A is translated to B, the scale factor is

r2/r1=3/2=1.5

In conclusion, the translation rule for given circles is (x+3,y-2) and its scale factor is 1.5

3 0
3 years ago
help asap! Write an expression equivalent to [5x²]-[15x] that is a product of two expressions. Fill in the blanks with numbers,
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Answer: 5x (x-3) or 5(x^2-3x)

Step-by-step explanation:

3 0
3 years ago
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it… I need to get it done ASAP
aivan3 [116]

Problem 61

The nth triangular number is

T(n) = n(n+1)/2

I'll rewrite this into

T(n) = 0.5n(n+1)

The triangular number right after this is

T(n+1) = 0.5(n+1)(n+2)

I replaced every n with n+1 and simplified

Let's see what we get when we add up the two expressions

T(n) + T(n+1)

0.5n(n+1) + 0.5(n+1)(n+2)

0.5n^2+0.5n + 0.5(n^2+3n+2)

0.5n^2 + 0.5n + 0.5n^2 + 1.5n + 1

n^2+2n+1

(n+1)^2

This shows that the sum of any two consecutive triangular numbers results in a square number

Here's a few examples

  • 0+1 = 1
  • 1+3 = 4
  • 3+6 = 9
  • 6+10 = 16
  • 10+15 = 25

Note each sum is a perfect square, which visually would plot out a square figure.

For quick reference, the set of the first few triangular numbers is {0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55,...}

<h3>Answer: Square number</h3>

==========================================================

Problem 64

Let's say we go with n = 5.

This means,

T(n) = 0.5n(n+1)

T(n-1) = 0.5(n-1)(n-1+1)

T(n-1) = 0.5n(n-1)

T(5-1) = 0.5*5(5-1)

T(4) = 10

This says that when n = 5, the 4th triangular number is 10

Triple that result and add on n = 5

3*T(4) + n = 3*10+5 = 35

This result is beyond obvious which category of figurate number it belongs to. It's not a triangular number since it's not in the form n(n+1)/2. It's not a square number either.

Through a bit of trial and error, you should find it's a pentagonal number

Pentagonal numbers are of the form n(3n-1)/2

If you plugged n = 5 into that, it leads to 35

n(3n-1)/2 = 5*(3*5-1)/2 = 5*14/2 = 70/2 = 35

The diagram shown below represents the first few pentagonal numbers. The number of blue dots corresponds to the pentagonal number itself. Note the equal spacing when dealing with dots on each segment (eg: some interior blue dots are midpoints, others are quarter points, etc.)

<h3>Answer: Pentagonal number</h3>

8 0
2 years ago
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