Answer:
Step-by-step explanation:
Formula to be used,
A = 
Here, A = Final amount
P = Principal amount
r = rate of interest
n = Number of compounding (In a year)
t = Duration of investment (In years)
Question (5)
P = $4250
r = 0.015
n = 4
t = 3 years
A = 
A = 
A = $4445.24
Part (C)
1). P = $6000
r = 0.03
n = 2
t = 10 years
A = 
= 
= $8081.13
2). P = $9000
r = 0.05
n = 2
t = 8 years
A = 
= 
= $13360.55
No solution
There is no answer that makes the equation true.
If 2 sodas and 4 hamburgers are $12.00 and 4 sodas and 2 hamburgers are $9.00 how much is a single hamburger?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2s + 4h = 12, (1) 4s + 2h = 9. (2) Multiply (1) by 2. You will get 4s + 8h = 24, (1') 4s + 2h = 9. (2') Distract (2') from (1'). You will get 8h - 2h = 24 - 9, or 6h = 15 ---> h =  =  = 2.5. Thus one hamburger price is $2.50. Then from (1) s =  = 1. Answer. One hamburger price is $2.50 and 1 soda costs $1.00.
There is even more elegant way to solve the problem.
Simply add all hamburgers and all sodas. 6 hamburgers and 6 sodas. $12 + $9 = $21.
Hence, 1 hamburger + 1 soda =  = $3.50.
Having this, everybody can solve to the end in this way, actually, without equations and using the mental math only.
Question: A man measures the angle of elevation to the top of a mountain to be 12 degrees. He drives 7 miles closer and finds the angle of elevation to be 37 degrees. How high is the mountain?
<span>
<span>first off your answer is 21.90 and the step by step i wrote it for you:) Finding the
square root of a number is the inverse
operation of squaring that number. Remember, the square of a number
is that number times itself. </span>
The perfect
squares are the squares of the whole numbers.
The square root
of a number, n, written below is the number that gives n when multiplied by
itself.
</span> <span>Many mathematical
operations have an inverse, or opposite, operation. Subtraction is the opposite
of addition, division is the inverse of multiplication, and so on. Squaring,
which we learned about in a previous lesson (exponents),
has an inverse too, called "finding the square root." Remember, the
square of a number is that number times itself. The perfect squares are the
squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 … </span>
The square root
of a number, n, written
<span>
is the number that gives n when multiplied by itself. For example,</span>
<span>because
10 x 10 = 100</span>
Examples
Here are the
square roots of all the perfect squares from 1 to 100.
Finding square
roots of of numbers that aren't perfect squares without a calculator
1. Estimate
- first, get as close as you can by finding two perfect square roots your
number is between.
2. Divide -
divide your number by one of those square roots.
3. Average -
take the average of the result of step 2 and the root.
<span>4. Use the result
of step 3 to repeat steps 2 and 3 until you have a number that is accurate
enough for you.
</span>
Example:
Calculate the square root of 10 ()
to 2 decimal places.
<span>1. Find
the two perfect square numbers it lies between.
</span>
<span><span>Solution:
</span><span>32
= 9 and 42 = 16, so
lies between 3 and 4.</span></span>
<span>2. Divide
10 by 3. 10/3 = 3.33 (you can round off your answer)</span>
<span>3. Average
3.33 and 3. (3.33 + 3)/2 = 3.1667</span>
<span>Repeat step
2: 10/3.1667 = 3.1579</span><span>Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span>
Try the answer
--> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001
If this is accurate
enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.
<span>Note:
There are a number of ways to calculate square roots without a calculator.
This is only one of them.</span>
<span><span>
</span>
</span>
<span>
<span />Example:
Calculate the square root of 10 ()
to 2 decimal places.
<span>1.
Find the two perfect square numbers it lies between.
</span>
<span><span>Solution:
</span><span>32
= 9 and 42 = 16, so
lies between 3 and 4.</span></span>
<span>2.
Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)</span>
<span>3.
Average 3.33 and 3. (3.33 + 3)/2 = 3.1667</span>
<span>Repeat
step 2: 10/3.1667 = 3.1579
Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623</span>
<span>Try
the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 =
10.0001</span>
If
this is accurate enough for you, you can stop! Otherwise, you can repeat steps
2 and 3.
</span>
<span>
<span><span>
<span> </span></span></span></span>
Answer:
TOP RIGHT BOX
2.3 x 12 = 27.6
27.6 > 27.1
Step-by-step explanation:
First thing you need to do is make their units the same.
There are 12 inches in a foot so we convert 2.3 feet to inches by multiplying 2.3 by 12:
2.3 x 12 = 27.6
You can also approach it like this:
12in = 1 ft
So if we compare the two then we know that:
27.6 > 27.1
