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baherus [9]
3 years ago
7

Sherry had an ending balance f 125.36, outstanding deposits of 153.53, and utstanding checks of $100.19. What was her checkbook

balance
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

Answer:

The checkbook balance is $178 .7.

Step-by-step explanation:

As given

Sherry had an ending balance $ 125.36, outstanding deposits of $153.53, and outstanding checks of $100.19.

Thus

Checkbook balance = Ending balance + Outstanding deposits -  Outstanding checks

Putting the values in the above

Checkbook balance = $ 125.36 + $153.53 - $100.19

                                  = $ 278.89 - $100.19

                                  = $ 178.7

Therefore the checkbook balance is $178 .7.

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first
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ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

t_1=1,t_n=t_{n-1}+n

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When n=2,

t_2=t_{2-1}+2

t_2=t_{1}+2 = 1 + 2 = 3

when n=3,

t_3=t_{2}+2 = 3 + 3= 6

when t=4,

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When t=5,

t_5=t_{4}+5 = 10 + 5 = 15

when t=6,.

t_6=t_{5}+6 = 15 + 6 = 21

when t=7

t_7=t_{6}+7 = 21 + 7 = 28

When t=8,

t_8=t_{7}+8 = 28 + 8 = 36

When t=9,

t_9=t_{8}+9 = 36 + 9 = 45

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0
3 years ago
10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.
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Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

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Where:

A - Area of the regular polygon, in square inches.

p - Perimeter, in inches.

a - Apothem, in inches.

If we know that p = 162\,in and a = 97.8\,in, then the area of the regular nonagon is:

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The area of the regular nonagon is 7921.8 square inches.

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Wewaii [24]

Answer:

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Step-by-step explanation:

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