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2 years ago

9

Your grandparents deposited $5500 into a college savings account for you 3 years

1 answer:

Masja [62]2 years ago

8 0

Answer:

5922.90

Step-by-step explanation:

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Can somebody please help me with (d)?

lapo4ka [179]

I’m in middle school so if u show me I’ll be able to help I’m one of those people

4 0

3 years ago

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

$3x^2 + 2ax = 0$

$x(3x + 2a) = 0$

$x = 0$

$3x + 2a = 0$

$3x = -2a$

$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

$-\frac{2a}{3} = 2$

$-2a = 6$

$2a = -6$

$a = -3$

Then:

$f(x) = x^3 - 3x^2 + b$

Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

4 0

1 year ago

Find the vector, not with determinants, but by using properties of cross products. k × (i − 3j)

sergey [27]

$\mathbf k\times(\mathbf i-3\mathbf j)=(\mathbf k\times\mathbf i)-3(\mathbf k\times\mathbf j)$
$=\mathbf j-3(-\mathbf i)$
$=3\mathbf i+\mathbf j$

3 0

2 years ago

Could anyone answer this please

Ksivusya [100]

Answer:

30-60-90 triangle rule

x=16

Step-by-step explanation:

8 = given

8 $\sqrt{3}$ = y

8*2= 16 = x

(2x)

5 0

3 years ago

On a True/False test, Amy answered the first three questions wrong but answered the rest of the questions correctly. On the same

borishaifa [10]

Answer:

89.29%

Step-by-step explanation:

Given that Scott answered exactly two questions wrong. He answered the last question wrong, the 26 questions before it correctly, and the question before that wrong. Since Amy and Scott were both incorrect on the same question exactly once, Scott would have done wrong only in I or II or III question. If I question was wrong by both, total questions = 28, if II wrong total questions =29 and for iii total questions =30

Greatest possible percent would occur if total questions are less

i.e. when total =28

Greatest percent = $\frac{28-3}{28} =89.29%$

3 0

3 years ago