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Arisa [49]
2 years ago
15

Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and l

oss by giving annual salary allowances of $52,000 to ramer and $41,600 to knox, 10% interest allowances on their investments, and any remaining balance shared equally. (enter all allowances as positive values. enter losses as negative values.) required: 1. determine each partner's share given a first-year net income of $102,800. 2. determine each partner's share given a first-year net loss of $20,800.
Mathematics
1 answer:
Butoxors [25]2 years ago
5 0

Each partner's share given a first-year net income of $102,800 is $-3,300.

Each partner's share given a first-year net loss of $20,800 is $-44,300.

<h3>What is each partner's share?</h3>

Partner' share = net income / loss - interest - salary salary allowance

Interest = ($64000 x 10%) + ($94000x 10%) = $15,800

Salary = $52,000 + $41,600 = $93,600

Share of net income = [$102,800 - (15,800 + 93600)] / 2  = $-3,300

Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300

To learn more about profit, please check: brainly.com/question/26181966

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Find the missing lengths: LK=15 and KH=9, find KI and HI.
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Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

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3 years ago
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