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Pavlova-9 [17]
2 years ago
14

What is the answer to 2x+4y=16:4y=12

Mathematics
1 answer:
allsm [11]2 years ago
8 0

Answer:

Here,

2x + 4y = 16....eqn \: i \\ 4y = 12....eqn \: ii

substituting the value of 4y in eqn i fron eqn ii

so eqn i becomes

2x + 12 = 16 \\ 2x = 4 \\ x = 2

So

y = 12 \div 4 = 3

Thus,

x = 2 \: and \: y = 3

...hope this helps:)

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Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

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h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

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h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
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The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

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c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

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2 years ago
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