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4 years ago

9

You deposit $125 in a savings account that earns 5% annual interest compounded yearly. Find the balance in the account after the

given amount of time.

1 answer:

Paul [167]4 years ago

7 0

125 x.5 =62.5 times 12 months equals 750

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The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the te

mario62 [17]

Answer: |81-x|<5

Step-by-step explanation:

Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.

Temperature in the enclosure should not vary by more than 5° F.

Let x= Temperature in the enclosure

Then, difference between average and current temperature should less the 5.

i.e. |81-x|<5 (required absolute value equation )

hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:

|81-x|<5

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3 years ago

There are 30 students in a class. Five of them are randomly selected to form the dance committee. How many different committees

ziro4ka [17]

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Step-by-step explanation:

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3 years ago

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Elena L [17]

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3 years ago

The equation 12x² + 4kx + 3 = 0 has real and equal roots, if

sleet_krkn [62]

Answer:

$k=\pm3$

Step-by-step explanation:

[...] if you can write the LHS as a perfect square, or if you can't spot a factorization of it right away, if and only if the discriminant $\Delta = b^2-4ac$ (or, if b is an even number, 1/4 of it) is zero.

<u>I see it! I see it!</u>

Stare at it for a while. First term is $3(2x)^2$ , third term is $3(1)^2$ , we are missing a double product, but we can play with k. For the LHS to be $3(2x\pm1)^2 = 3(4x^2\pm4x+1) = 12x^2\pm12x+3$ you just need $4k= \pm12 \rightarrow k=\pm3$ .

<u>I don't see it...</u>

Then number crunching it is. Set the discriminant to 0, solve for k

$\frac{\Delta}4 = 4k^2-12\cdot 3 =0 \rightarrow 4k^2=36 \\k^2 = 9 \rightarrow k=\pm3$

8 0

2 years ago