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Marina CMI [18]

3 years ago

14

Sheila deposited $1,050.00 into a saving account at her local bank. if the interest rate is 1.5%, then how much will he have aft

er 18 months (round your answer to the nearest cent)?

1 answer:

Helga [31]3 years ago

5 0

A=p (1+r)^t
A future value?
P present value 1050
r interest rate .015
t time 18/12
A=1,050×(1+0.015)^(18÷12)
A=1,073.71

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Step-by-step explanation:

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3 years ago

(−5)3x7(yz)4 / (3)2x2y8z2

g100num [7]

Answer:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

Step-by-step explanation:

Given:

The expression to simplify is given as:

$\frac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}$

In order to simplify this, we have to use the law of indices.

1. $(ab)^m=a^mb^m$

So, $(yz)^4=y^4z^4$

Substitute this value in the above expression. This gives,

$=\dfrac{(-5)3x^7y^4z^4}{(3)2x^2y^8z^2}\\\\\\=\dfrac{-15x^7y^4z^4}{6x^2y^8z^2}......(-5\times 3=15\ and\ 3\times 2=6)$

Now, we use another law of indices.

2. $\frac{a^m}{a^n}=a^{m-n}$

So, $\frac{x^7}{x^2}=x^{7-2}=x^5,\frac{y^4}{y^8}=y^{4-8}=y^{-4}, \frac{z^4}{z^2}=z^{4-2}=z^2$

Substitute these values in the above expression. This gives,

$=\frac{-15}{6}\times x^5\times y^{-4}\times z^2\\\\=\frac{-5x^5y^{-4}z^2}{2}$

Finally, we further simplify it using the law $a^{-m}=\frac{1}{a^m}$

So, $y^{-4}=\frac{1}{y^4}$

Therefore, the given expression is simplified as:

$\dfrac{(-5)3x^7(yz)^4}{(3)2x^2y^8z^2}=\dfrac{-5x^5z^2}{2y^4}$

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3 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was

alekssr [168]

The formula would be set up as ratios (or fractions). The first ratio is 6:5, which in total is 11. There were 6 yes out of 11, so the fraction = 6/11.

The second fraction has a total of 5918, however you do not know the amount of yes votes, so the variable placeholder will be called "x".

The final formula would be:
6/11 = x/5918

You do cross multiplication and you get:
11x = 35508. You divide both sides, and you get x = 3228.

Because x is the placeholder for the amount of yes votes, and x = 3228, the amount of yes votes is 3228

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