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3 years ago

23 is what percent of 126?

Mathematics

1 answer:

Fiesta28 [93]3 years ago

6 0

Answer:

18.25%

Step-by-step explanation:

23/126 = x/100

126/100 = 1.26

23/1.26 = 18.253968254

Round to the nearest hundredth: 18.25

Therefore, 23 is 18.25% of 126.

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Please help me<br> 20 points

vesna_86 [32]

A. (-9,4)
b. (0,0)
c. I'm not sure so sorry

8 0

3 years ago

The Kirkland family is buying a new living room set that costs $1,495.

never [62]

<h3>Answer: 173.04 dollars</h3>

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

Explanation:

The down payment is $400, so that means they must pay back 1495-400 = 1095 dollars. Let L = 1095 be the amount loaned

The annual interest rate is 28% which means r = 0.28; the monthly interest rate is i = r/12 = 0.28/12 = 0.02333 approximately

There are 12 months in a year, so n = 12 is the number of payment periods

----------------------------------------

In summary so far, we have

L = 1095
i = 0.02333 (which is approximate)
n = 12

Those values will be plugged into the monthly payment formula below

M = L*( i*(1+i)^n )/( (1+i)^n - 1 )

M = 1095*( 0.02333*(1+0.02333)^12 )/( (1+0.02333)^12 - 1 )

M = 105.671914631108

M = 105.67

The monthly payment is $105.67

If they have a monthly payment of $105.67, and they pay that for 12 months, then 12*105.67 = 1,268.04 dollars is the amount of money they pay back to the credit card company.

The total amount of interest would be 1,268.04 - 1,095 = 173.04 dollars

Side note: the formula is a complicated ugly mess, so it's understandable to use calculators that already have the formula built in. Many websites offer free calculators that do this.

7 0

3 years ago

A box with no top is to be constructed from a piece of cardboard whose length measures 5 in. more than its width. The box is to

ddd [48]

Answer:

$9\text{ inch, }14\text{ inch, }2\text{ inch}$

Step-by-step explanation:

GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures $5\text{ inch}$ more than its width. The box is to be formed by cutting squares that measure $2\text{ inch}$ on each side from the four corners and then folding up the sides.

TO FIND: If the volume of the box will be $100\text{ inch}^3$ , what are the dimensions of the piece of cardboard.

SOLUTION:

Let the width of cardboard be $x$

length of cardboard $=x+5\text{ inch}$

As box is formed by cutting $2\text{ inch }$ squares from corners of cardboard

length of cardboard $=x+5-4=x+1\text{ inch}$

width of cardboard $=x-4\text{ inch}$

height of cardboard $=2\text{ inch}$

volume of cardboard $=\text{length}\times\text{width}\times\text{height}$

$=2(x+1)(x-4)$

$x^2-3x-54=0$

solving we get

$x=9,-6$

width of cardboard $=9\text{ inch}$

length of cardboard $=x+5=14\text{ inch}$

height of cardboard $=2\text{ inch}$

8 0

3 years ago

Simplificar as expressões<br><br> 7√32 - 5√2 + √8<br><br> 2√150 - 4√54 + 6√24

SIZIF [17.4K]

We try to represent each number inside the square root as a product of a square and another number.

a) 7√32 - 5√2 + √8

√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2

√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2

7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =

   = 28√2 - 5√2 + 2√2 Factorize out √2

   = (28 - 5 + 2)√2

= 25√2

b) 2√150 - 4√54 + 6√24

√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6

√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6

√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6

2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)

= 2*5√6 - 4*3√6 + 6*2√6

      = 10√6 - 12√6 + 12√6 Factorize √6

   = (10 - 12 + 12)√6

   = 10√6

7 0

3 years ago

Read 2 more answers

45% of 81.2 is a number between.....

Misha Larkins [42]

36.54
45% of 81.2 is 36.54.

3 0

3 years ago