So let's say he was earring x before his raise. That means that:
x times 1.09 = 654 (1.09 represents 100% (this is the 1.0) of his original salary plus 9% (this is the .09) his raise.
So,
1.09x = 654; now divide both sides by 1.09 to isolate and solve for x, and you get x = $600.
Answer:
2, 3, 5, 7, 11, 17, 19, 23
Step-by-step explanation:
The segment between - 15 and 25 has 40 numbers given by
25 - -15
= 25 + 15
= 40
Divided into 4 segments, each would contain 10 numbers such that the
1st segment is from -15 to -5 (which is -15 + 10)
2nd segment is from -5 to 5 (which is -5 + 10)
3rd segment is from 5 to 15 (which is 5 + 10)
4th segment is from 15 to 25 (which is 15 + 10)
Given that the unknown number is prime and positive this may be
2 or 3 or 5 from the 2nd segment
7 or 11 from the third segment
17 or 19 or 23 from the 4th segment
Answer:
390cm³
Step-by-step explanation:
IF you look at the figure attached, you will see that your figure is made up of 3 rectangular prisms.
All you need to do is solve for the volume of each prism and add them up together.
The formula to use to get the volume of a rectangular prism is:
Where:
V = Volume
w = width
l = length
h = height
Let's get the first one and double it because you have rectangular prisms with the same dimensions:
Next we get the rectangular prism in the middle:
Notice that the height of the side rectangular prisms is 12 cm. To get the height of the middle figure, just subtract 5cm and 2 cm from the height because they are the excess of the middle.
12cm - (5cm + 2cm)
12 cm - 7cm = 5cm
Then we plug it into the formula
Now that we have the volumes of all figures, just add them up together:
150cm³ + 240cm³ = 390cm³
<h3>Answer: Approximately 191 bees</h3>
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Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
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As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
------------------------
At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.
