The diagram shows the first four patterns of a sequence.

Mathematics

1 answer:

Ghella [55]3 years ago

5 0

Answer:

$n {}^{2} + 3$

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Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.

Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; $A=\frac{1}{2} BH$ (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

$32*13=416$ The B and H = 416. Plug it into the equation now;

$A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528$ Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is: $421$

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3 years ago

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If your financial goal is to save at least $40,000 in 10 years, what would be the least

adoni [48]

The least amount of money you would need to invest per month is; $335

The anticipated rate of return on your investments is; 7%

Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

Thus, amount to be saved monthly = 40000/12 = $333.33

Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.