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mariarad [96]
3 years ago
8

The x-coordinate for an ordered pair in the solution set of x+2y=11 is 3.Find the y-coordinate

Mathematics
1 answer:
cestrela7 [59]3 years ago
8 0

Answer:4

Step-by-step explanation:

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
During the spring, when the snow and ice melt in the Inka Binka Mountains, it causes the Habooka River to rise. If the river ris
stepladder [879]

Answer:

6 centimeters per day

Step-by-step explanation:

Since there are 7 days in one week, 42 cm divided by 7 days will equal to the answer 6 centimeters per day.

5 0
2 years ago
What’s 3/4s of 300 million
Blababa [14]
It’s 225,000,000= 225 million
4 0
3 years ago
Read 2 more answers
Which scale will produce the smallest drawing?
Effectus [21]
The scale that will produce the smallest drawing would be b) 1mm:50m.

First, I converted all the measurements to centimeters:

a) 1cm:500cm
b) 0.01cm:5000cm
c) 5cm:1000cm
d) 10cm:2500cm

Then, you divide the scales:

a) 0.002
b) 0.000002
c) 0.005
d) 0.004

B is the smallest number, meaning it will be the smallest scale.
6 0
3 years ago
The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circl
MAXImum [283]

Answer:

10 square inches per second.

Step-by-step explanation:

The radius of the circle is given by the equation:

r(t) = (1/π  in/s)*t

Where time in seconds.

Remember that the area of a circle of radius R is written as:

A = π*R^2

Then the area of our circle will be:

A(t) = π*( (1/π  in/s)*t)^2 = π*(1/π  in/s)^2*(t)^2

Now we want to find the rate of change (the first derivation of the area) when the radius is equal to 5 inches.

Then the first thing we need to do is find the value of t such that the radius is equal to 5 inches.

r(t) = 5 in =  (1/  in/s)*t

       5in*(π s/in) = t

        5*π s = t

So the radius will be equal to 5 inches after 5*π seconds, let's remember that.

Now let's find the first derivate of A(t)

dA(t)/dt = A'(t) = 2*(π*(1/π  in/s)^2*t = (2*π*t)*(1/π  in/s)^2

Now we need to evaluate this in the time such that the radius is equal to 5 inches, we will get:

A'(5*π s) = (2*π*5*π s)*((1/π  in/s)^2

              = (10*π^2  s)*(1/π^2  in^2/s^2) = 10 in^2/s

The rate of change is 10 square inches per second.

4 0
2 years ago
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