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Valentin [98]
2 years ago
13

Ariel's desk weighs 53 kilograms. What is the weight of her desk in pounds? Round your

Mathematics
1 answer:
Lyrx [107]2 years ago
3 0

Answer:

116.6 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of her desk in pounds:

\frac{2.2}{1} = \frac{x}{53}

Cross multiply:

x = 116.6

So, her desk is 116.6 pounds

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In this question, all lengths are in centimetres.
JulsSmile [24]

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

3 0
3 years ago
A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
Tommy earned $76 in interest after 5 years on a principal of $400. Jane earned $82 in interest after 2 years on a principal of $
UkoKoshka [18]
Jane’s bank because the rate of Jane’s bank is 4.1%, which is faster than Tommy’s bank’s rate, which is 3.8%.
7 0
2 years ago
Hawaii 0.288% = what fraction
Sindrei [870]

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125


Step-by-step explanation:

Step 1: 0.288 = 288⁄1000  

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",



<em>Or for the lowest term:</em>

Therefore 0.288% can be written as  

0.288

100

.

Next, we can multiply by  

1

in the form of  

1000

1000

to eliminate the decimal in the numerator:

1000

1000

×

0.288

100

⇒

1000

×

0.288

1000

×

100

⇒

288

100000

.

We can now reduce the fraction as:

288

100000

⇒

32

×

9

32

×

3125

⇒

32

×

9

32

×

3125

⇒

9

3125

.

4 0
2 years ago
What number should be added to both sides of the equation to complete the square? x^2 + 3x = 6 
ki77a [65]
<span>What number should be added to both sides of the equation to complete the square? x^2 + 3x = 6
Answer: 13/2</span>
6 0
3 years ago
Read 2 more answers
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