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MAVERICK [17]
3 years ago
14

Evaluate the expression ab2 + 2ab + a2 for a = 6 and b = 3.

Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

b) 126

Step-by-step explanation:

ab^2 + 2ab + a^2 (I assume this is what you meant)

(6)(3)^2 + 2(6)(3) + (6)^2

Simplify.

126

Aliun [14]3 years ago
6 0

Answer:

I believe there is an error with the problem

Step-by-step explanation:

3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84

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Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0
3 years ago
What is the first step in constructing an inscribed circle inside triangle XYZ?
Tasya [4]

Answer:

Construct the angle bisector of angle Y

Step-by-step explanation:

-An inscribed circle is defined as the largest circle that can be drawn within the boundaries of a plane figure.

-The first step in constructing an inscribed circle is to bisect any two angles of the plane figure, triangle in this case, as there intersection point will form the circle's center.

=>Hence, the first step is Construct the angle bisector of angle Y or Z or X( whichever you decide on).

6 0
3 years ago
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
spin [16.1K]
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

number of bills counted          value              ones digit

1                                             5                         5

2                                             5 + 5 = 10           0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
4 0
4 years ago
72.4 divided by 4 please help!!!!
wariber [46]

Answer:

18.1

hope it helps mate

8 0
3 years ago
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Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right and lef
I am Lyosha [343]
So hmm notice the picture below

you're simply being asked to, approximate the area, by using 4 rectangles, like in the graph, it doesn't have to be an exact value, just an approximation, based on the width and height of the rectangles, and getting  their area by that

those rectangles are 0.39 radian long, since if you split π/2 in 4 pieces, you get around that much, the last rectangle there is a bit smaller than 0.39.... but they don't have to be 4 rectangles of equal length

so, get the area of the rectangles, based on their width and height, and sum them up

7 0
3 years ago
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