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Tresset [83]
3 years ago
15

The distance between two cities is 4 kilometers. How many meters apart are the two cities?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer: 4,000 Meters

Step-by-step explanation: one meter is 1/1000 of a kilometer

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Tom deposited $2410 in a bank that pays 12% interest, compounded monthly. Find the amount he will have at the end of 3 years.
OLEGan [10]

Answer:

Base amount: $2,410.00

Interest Rate: 12% (yearly)

Effective Annual Rate: 12.68%

Calculation period: 3 years

$3,448.15

Step-by-step explanation:

The generic formula used in this compound interest calculator is

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

V = the future value of the investment

P = the principal investment amount

r = the annual interest rate

n = the number of times that interest is compounded per year

t = the number of years the money is invested for

4 0
3 years ago
The sum of three consecutive number is 633 ,find the numbers
chubhunter [2.5K]

Answer:

210, 211, 212

Step-by-step explanation:

If we denote the first number as x, then the second number can be written as x + 1 and the third number as x + 2.

The equation is:

x + (x + 1) + (x + 2) = 633

3x + 3 = 633

3x = 633 - 3

3x = 630

x = 210

So the three consecutive numbers we're looking for are: 210, 211, 212

8 0
3 years ago
Water flows at a rate of 8000 cubic inches per minute into a cylindrical tank. The tank has a diameter of 128 inches and a heigh
beks73 [17]

Answer:

The height of the water = 6.2 in. to the nearest tenth

Step-by-step explanation:

∵ The rate of flows of water into the tank = 8000 in.³/min.

∴ The volume of the water in the tank after 10 min. = 8000 × 10 = 80000 in.³

∵ The water take the shape of the tank

∴ The height of the water = volume of water ÷ Area of the base of the tank

∵ The tank is cylinder with diameter 128 in. and height 72 in.

∴ The area of the base of the tank = π(128/2)²

∴ The height of the water = \frac{80000}{\pi(64)^{2}}=6.2169899

∴ The height of the water = 6.2 in. to the nearest tenth

 

5 0
3 years ago
Given:SW is diameter of circleR<br><br> m\overarc ST = 30\degree<br><br> Prove: RTW = 15\degree
Ostrovityanka [42]

Check the picture below.

we know that the arcST is 30°, meaning the inscribed angle intercepting it will be half that or 15°.

in the triangle RWT, two sides of it are RT and RW, both of which are radius segments and thus equal, meaning that triangle RWT is an isosceles, and in an isosceles the twin sides also make twin angles, meaning that ∡RTW is a twin of the inscribed angle ∡RWT.

4 0
2 years ago
11. A boy buys four video games from the store and a frequent Gamer discount card for $10. Later that day, he
Tamiku [17]

Answer:

Total without the discount $52.50.  Total with the discount $52.

Step-by-step explanation:

First, start by adding the 2 dollar discount to the total.  Next remove the ten dollars for the Frequent Gamer card.  This brings the total of the games to $210.  Now all you have to do is divide by 4 and you have your answer.  To get the answer with the discount skip the first step.

4 0
3 years ago
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