Answer:
x = 9
Step-by-step explanation:
The big triangle is similar to smaller one so we can use the side lengths' proportion to find x:
7/4 = (x-3)+8/8
7/4 = (x+5)/8 cross multiply expressions
56 = 4x + 20 subtract 20 from both sides
36 = 4x divide both sides by 4
9 = x
Answer:
28
Step-by-step explanation:
The function that we have in this is f(x) = 4x. We can see this in 4 * 4 = 16, 5 * 4 = 20 and 6 * 4 = 24. Therefore, following the pattern, 7 * 4 = 28.
You will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
<h3>What is compound interest, and how does it work?</h3>
Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
Principal(P)=$40,000
(Time period)T=25+15 = 40 year
R=8%
The final balance is $273,938.99 and the total compound interest is $233,938.99.
The amount he has to deposit each year is found as;
⇒$273,938.99/25
⇒ $ 10,957
Hence. you will need to deposit $ 10,957 each year until retirement to achieve your retirement goals.
To learn more about compound interest, refer to brainly.com/question/14295570
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Statement B about the volume of the box is true. The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.
<h3>What is volume?</h3>
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the rectangle = area × height
Volume of box =2x(2x+4)×2x - 2.
The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.
Hence, statement B about the volume of the box is true.
To learn more about the volume, refer to
brainly.com/question/1578538
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