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stepan [7]
3 years ago
14

The population of two cities of 660000 people. If the population of the first city is equal to 32% of the population of the seco

nd city, what is the population of the first city?
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

population of 1st city =660,000

Step-by-step explanation:

Let the population of second city be x

given that

population of the first city is equal to 32% of the population of the second city

Therefore

population of 1st city = 32% of the population of the second city

                                   32% of x = (32/100)*x

total population of two cities = x + (32/100)*x = (100x+32x)/100 = 132x/100

Also, population of two cities = 660000

thus,

132x/100 =  660000

=> 132x =  660000*100 =  66000000

=> x = 66000000/132 = 2,062,500

Thus, population of 2nd city is 2,062,500

population of 1st city = (32/100)*x = 32/100 * 2,062,500 = 660,000

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25 POINTS: In 1960, 21.5% of U.S. households did not have a telephone. This statistic decreased by 75.8% between 1960 and 1990.
dem82 [27]

Answer: 94.8 % (approx)

Step-by-step explanation:

Let the total household in the U.S is x,

⇒ The total household who did not have a telephone in 1960 = 21.5 % of x

= 0.215 x

According to the question,

The total household who do not have a telephone in 1990 = 75.8 % less than the household in 1960 who did not have the cell phone,

= (100-75.8)% of 0.215x

= 24.2 % of 0.215x

= 0.05203x,

⇒ The household in 1990 who had a telephone = x - 0.05203x = 0.94797x

Hence, the percentage of household who has a telephone in 1990

= \frac{0.94797x}{x}\times 100

= 94.797\%\approx 94.8\%

⇒ Around 94.8% household had telephone in the US in 1990.

7 0
4 years ago
What is the cost of a pair of jeans that sells for $49 if the sales tax rate is 6%
lisov135 [29]

a pair of jenas that sell for $49

rate of tax is 6%

cost of that jeans is ?

Let the cost of jeans = x

through question

or, $49 = X + X×6%

or,$49 = X + X×6/100

or, $49 = 106X/100

or, $4900 = 106X

or, X = $4900/106

: X = $46.226

thus ; the cost of jeans is $46.226

7 0
2 years ago
A bank account has an initial deposit of $14,000. After 8 years, the bank account
Kamila [148]

Answer:

2.3%

Step-by-step explanation:

18000 = 15000( 1 + i)^8

Divide both sides by 15000

1.2 = (1 + i)^8

Take both sides to the 1/8 power

1.2^(1/8) = 1 + i

1.023051875220463 = 1 + i

Subtract 1 from both sides

i = 0.023051875220463

~ 2.3%

8 0
3 years ago
Duncan is purchasing a home for $178,000. He makes a 15% down payment and obtains a 15 year fixed rate mortgage loan at 4% annua
KATRIN_1 [288]
1119.15×12=13,429.8 deposits per year
cost of principal
PVAO=13,429.8×((1−(1+0.04)^(−15))÷(0.04))=149,317.72
interest
13,429.8×15−149,317.72=52,129.28
down payment
178,000×0.15=26,700
intagible tax
178,000×0.002=356

Total cost
52,129.28+356+149,317.72+26,700
=228,503....answer
6 0
3 years ago
What is the value of the 5 in the number 2.005?<br> 0.05<br> 0.5<br> 0.005<br> 5
Bogdan [553]

Answer:

0.005

Step-by-step explanation:

4 0
3 years ago
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