Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $7,000
Interest rate (i)= 2.5%
<u>To calculate the future value after x years, we need to use the following formula:</u>
FV= PV*(1 + i)^x
<u>Now, for 9 years:</u>
x= 9
FV= 7,000*(1.025^9)
FV=$8,742.04
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
Answer:
m<GAB=50 degrees.
Step-by-step explanation:
Over here, the only given is that m<EAD is equal to 50 degrees. Using the verticle angle theorem, we know that m<GABis also equal to 50 degrees.
Tell me if you're still confused.
Answer:
x²+y²=36
Step-by-step explanation:
any circle with center at (0,0)
has the equation of the form
x²+y²=r²
here r is radius r=6
so the answer
It is given in the question that
A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by
And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.
Here we differentiate V with respect to t, and we use product rule, that is
Substituting the given values , we will get
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So at that moment, the volume is decreasing at the rate of