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alexandr1967 [171]
3 years ago
11

Wanni cycled 6 km from her house to the school at a uniform speed, v km/h. If she increased her speed

Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer:

The quadratic equation in terms of v is   v² + 2 v + 180 = 0

Step-by-step explanation:

Given as :

The distance between house to the school = d = 6 km

The uniform speed = v km/h

So, Time = \dfrac{\textrm Distance}{\textrm speed}

or, t = \dfrac{\textrm d}{\textrm v}

Or, t = \dfrac{\textrm 6}{\textrm v}

<u>Now, Again</u>

The speed is increase by 2 km/h

i.e speed = (v + 2) km/h

So, Time taken = t' = (t - \dfrac{4}{60})hours

i.e t' =  (t - \dfrac{1}{15})hours

Now, Time = \dfrac{\textrm Distance}{\textrm speed}

So, (t - \dfrac{1}{15}) = \dfrac{\textrm d}{\textrm v}

Or,  (t - \dfrac{1}{15}) = \dfrac{\textrm 6}{\textrm (v + 2)}

Or , \dfrac{\textrm 6}{\textrm v} -  \dfrac{1}{15} = \dfrac{\textrm 6}{\textrm (v + 2)}

Or , \dfrac{\textrm 90 - v}{\textrm 15 v} = \dfrac{\textrm 6}{\textrm v + 2}

Or, (90 - v) × (v + 2) = 6 × 15 v

Or, 90 v - 180 - v² - 2 v = 90 v

Or,  v² + 2 v + 180 = 90 v - 90 v

Or,  v² + 2 v + 180 = 0

So, The quadratic equation in terms of v

v² + 2 v + 180 = 0

Hence The quadratic equation in terms of v is   v² + 2 v + 180 = 0   Answer

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On January 1 2017 ,Bonita corporation sighned a 3 year noncancelable lease for several computers.The terms of the lease called f
Nadusha1986 [10]

The present value of the minimum lease payments for Bonita Corporation, which signed a noncancelable lease, is <u>$11,121.35</u>.

<h3>What is the present value of the minimum lease payments?</h3>

The present value of the minimum lease payments is the sum of all of the future lease payments, expressed in present value terms, including the estimated value of the leased asset after the lease period.

The present value of the minimum lease payments can be computed using the PV factor or formula.

It can also be computed using an online finance calculator, as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 3 years

I/Y (Interest per year) = 11%

PMT (Periodic Payment) =- $4,100

FV (Future Value) = $0

<u>Results</u>:

PV = $11,121.35 ($12,300 - $1,178.65)

Sum of all periodic payments = $12,300 ($4,100 x 3)

Total Interest $1,178.65

Thus, the present value of the minimum lease payments for Bonita Corporation, which signed a noncancelable lease, is <u>$11,121.35</u>.

Learn more about minimum lease payments at brainly.com/question/17164931

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4 0
2 years ago
10) A rhombus has a<br> diagonal 8.6 mm long<br> and an area of 81.7 mm. what is the<br> perimeter?
BaLLatris [955]

Answer:

P=41.72

Step-by-step explanation:

S=ACxDB/2

81.7=8.6xDB/2

81.7=4.3xDB|:4.3

19(mm)=DB

DO=19/2=9.5

OC=8.6/2=4.3

(O is the center of the rhombus, where two diagonals meet)

a²+b²=c² (DO²+OC²=DC²)

9.5²+4.3²=c²

90.25+18,49=c²

√108,74=√c²

c≈10.43

P=4c

P=4x10.43

P=41.72

Hope it helps:)

6 0
2 years ago
PLEASE HELP
Stels [109]

Answer:

step three is wrong

Step-by-step explanation:

just did it

7 0
3 years ago
How to solve negative exponents? (Extended,long)
defon
Easily, you write the inverse of it without a minus
so if you were to find x^(-2) it would be (1/x)^2
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6 0
3 years ago
Write in word form:<br><br> 436,783,210
Igoryamba

Answer:

Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten

Step-by-step explanation:

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