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3 years ago

Find the balance on a deposit of $500 that earns 6% simple interest for 3 months.

Mathematics

2 answers:

baherus [9]3 years ago

3 0

To find the simple interest, we multiply 500 × 0.06 × 3 to get that:

The interest is: $90.00

making your answer D$590

natulia [17]3 years ago

3 0

12 months = 1 year
1 month = 1/12 year
3 months = 3/12 years.

$S.I= \frac{P*R*T}{100} \\ = \frac{500 \times 6 \times \frac{3}{12} }{100} \\ = \frac{500 \times \frac{3}{2} }{100} \\ = \frac{250 \times 3}{100} \\ = \frac{750}{100} = 7.50 \: as \: interest$
Amount = Principal + Interest
= $500 + $7.50 = $507.50

Answer is C)

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Let $b=(b_1,b_2,b_3) \in \mathbb{R}^3$ . We have that $b\in \text{Span}\{u,v\}$ if and only if we can find scalars $\alpha,\beta \in \mathbb{R}$ such that $\alpha u + \beta v = b$ . This can be translated to the following equations:

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Using equations 1 and 2 we get

$-\alpha + 3 \beta = 2$

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Case (-9,-2,5)

Using equations 1 and 2 we get

$-\alpha + 3 \beta = -9$

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whose unique solutions are $\alpha=3, \beta=-2$ . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.