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Mila [183]
3 years ago
5

What method(s) would you choose to solve the equation? Explain your reasoning. 4x^2-48=0

Mathematics
1 answer:
alex41 [277]3 years ago
8 0
Let's solve your equation step-by-step.<span><span><span>4<span>x2</span></span>−48</span>=0</span>Step 1: Add 48 to both sides.<span><span><span><span>4<span>x2</span></span>−48</span>+48</span>=<span>0+48</span></span><span><span>4<span>x2</span></span>=48</span>Step 2: Divide both sides by 4.<span><span><span>‌<span><span>4<span>x2</span></span>4</span></span>‌</span>=<span><span>‌<span>484</span></span>‌</span></span><span><span>x2</span>=12</span>Step 3: Take square root.<span>x=<span>±<span>√12</span></span></span><span><span>x=<span><span><span><span><span>2<span>√3</span></span>‌</span>‌ or </span>‌</span>‌x</span></span>=<span>−<span>2<span>√3</span></span></span></span>Answer:<span><span>x=<span><span><span><span><span>2<span>√3</span></span>‌</span>‌ or </span>‌</span>‌x</span></span>=<span>−<span>2<span>√3</span></span></span></span>
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s344n2d4d5 [400]
Hey there.

For 5:

We already have been given all the information we need to solve for this- it's just really extensive, so bare with me here.

With our initial deposit of $150 in January, we give 10% of the current value in the following month. This means 10% of 150 will be deposited into the checking account in February, and so on for the rest. I will work this out.

10% of 150 = 15; we deposit $15 into the account in February.
10% of 165 = 16.5; we deposit $16.5 into the account in March.
10% of 181.5 = 18.15; we deposit $18.15 into the account in April.
10% of 199.65 = 19.965; we deposit $19.96 in May (as we don't have an economical value worth a thousandth of a dollar in this problem).
10% of 219.61 = 21.961; we deposit $21.96 in June.
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Our total value is $292.29, although if we added the thousandths, we'd have $292.31; therefore your answer is going to be D.) $292.31

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