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3 years ago

How can you tell the sign of the sum

1 answer:

7 0

SUM:
If the numbers are the same sign, the sum will be the same sign as the numbers.
If they are different signs, the sum will be the same sign as the number with the largest size.

DIFFERENCE:
If the numbers are of different signs, the difference will be the same sign as the first number.
If the numbers are of the same sign, the difference will be the same sign as the numbers if the first number has the larger size, and the opposite sign to the numbers if the second number has the larger size.

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At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

Finally, we replace it in (1) or (2), let's do it in (1) $K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35$

8 0

3 years ago

How to determine a quotient in simplest form

Leno4ka [110]

A. 1/2 ÷ 1/4= 1/2 x 4/1 = 4/2 = 2
b 4/5÷2/3 = 4/5 x 3/2 = 12/10= 6/5= 1 1/5
c. 7 ÷ 1/4 = 7x 4/1 = 28/1 = 28
d. 5/12÷ 5/6 = 5/12 x 6/5 = 30/60 = 1/2
e 3 1/3 ÷3/4 = 10/3 x 4/3 = 40/9= 4 4/9
f. 18/25 ÷ 3/5= 18/25 x 5/3 = 90/75 = 18/15= 1 3/15= 1 1/5
g. 1 ÷ 9/13 = 1/1 x 13/9= 13/9 = 1 4/9
h 1 3/5 ÷5/6 = 8/5 x 6/5 = 48/25 = 1 23/25
I 7/8÷7/16= 7/8x 16/7= 112/56 = 2

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3 years ago

Which table shows a proportional relationship between x and y?

nekit [7.7K]

Answer:D

Step-by-step explanation:

This is D because your dividing by 5 or each one and thats how you get Your output number

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3 years ago

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100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!! PLS HELP ASAP!!!!!!!

Olin [163]

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28 5th row - 36 6th row - 44 7th row - 52 8th row - 60 9th - 68 10th - 76 11th - 84 12th - 92 13th - 100 14th - 108 15th - 116 16th- 124 17th - 132 18th - 140 19th - 148 20th - 156

if we add these all together you will get 1,600

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2 years ago

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Write an exponential function for the graph

SSSSS [86.1K]

Answer: c

Step-by-step explanation: Simple addition with decimals.

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2 years ago