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ladessa [460]
3 years ago
9

-4x + 11y = 15 x=2y Solve for y and x

Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

to find Y

-4x + 11y = 15

x - 2y = 0

.

equal= -3x + 9y= 15

since x=2y

-3(2y) + 9y = 15

-6y + 9y =15

3y = 15

y = 15/ 3

y = 5

.

to find x

using x=2y

since

y=5

,therefore

x= 2(5)

x= 10

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Given:

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,

• Time, t = 6 years

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• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

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Thus, we have:

28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}

Let's solve for P.

We have:

\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\  \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\  \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\  \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}

Solving further:

28000=P(28.0384237)

Divide both sides by 28.0384237:

\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\  \\ 998.6=P \\  \\ P=998.6 \end{gathered}

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

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