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Pepsi [2]
3 years ago
5

3. Sylvia wants to go on a cruise around the world in 5 years. If she puts $50 into an

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

$13,756.31

Step-by-step explanation:

The computation of the amount at the end of the five years is shown below:

Here we applied the FV formula

Given that

NPER = 5 × 52 = 260

RATE = 2.25% ÷ 52 = 0.043269%

PV = $0

PMT = $50

The formula is given below:

=-FV(RATE;NPER;PMT;PV;TYPE)

After applying the above formula, the future value is $13,756.31

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Solve x2 + 14x + 17 = –96 for x
jarptica [38.1K]

For this case we have to:

Given the quadratic equation of the form:

ax ^ 2 + bx + c = 0

The roots are given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

If we have: x ^ 2 + 14x + 17 = -96

We can rewrite it in the following way:

x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0

Where:

a = 1\\b = 14\\c = 113

Where we have:

x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}

x = \frac {-14 \pm \sqrt {(196-452)}} {2}

x = \frac {-14 \pm \sqrt {-256}} {2}

By definition: \sqrt {-1} = i

x = \frac {-14 \pm \sqrt {256} i} {2}

x = \frac {-14 \pm16i} {2}

x = \frac {-14} {2} \pm \frac {16i} {2}

x = -7 \pm8i

Thus, the roots are given by imaginary numbers:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i

Answer:

x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i


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