(F+g)(6) ( f+g) 7x+8

1 answer:

6 0

I am honestly not sure about this answer... try Khan Academy. Or, try breaking it down into steps.

I hope this helped... sorry about that. I will try this concept soon. :)

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T is at least 8 and at most 24.

zmey [24]

Answer:

Step-by-step explanation:

t is at least 8 and at most 24

8 ≤ t ≤ 24

6 0

3 years ago

Howard’s uncle gave him $885 for his tenth birthday. The money was invested in a savings account with interest compounded at 12%

Stella [2.4K]

Principal Amount = P = $885
Amount Accumulated = A = $3500
Interest rate = r = 12% = 0.12
Compounding period in a year = n = 2
Time in years = t = ?

The formula for compounding is:

$A=P(1+ \frac{r}{n})^{t*n}$

Using the values, we get:

$3500=885(1+ \frac{0.12}{2})^{2*t} \\ \\ 
 \frac{3500}{885} =(1.06)^{2t} \\ \\ 
log(\frac{3500}{885})=log((1.06)^{2t}) \\ \\ 
log(\frac{3500}{885})=2tlog(1.06) \\ \\ 
t= \frac{log(\frac{3500}{885})}{2log(1.06)} \\ \\ \\ 
t=11.80$

This means, it will take him 11.8 or approximately 12 years

6 0

3 years ago

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?

Alex Ar [27]

Answer:

$x^{3}-3x^{2}-5x+15$

Step-by-step explanation:

The roots of the given polynomial are: $-\sqrt{5}, \sqrt{5}, 3$

Since, $-\sqrt{5}, \sqrt{5}, 3$ are the roots of the polynomial, according to the factor theorem, $(x - (-\sqrt{5})), (x-\sqrt{5}), (x-3)$ would be the factors of the polynomial.

Since we have the factors of the polynomial, we can multiply them to get the desired polynomial.

Let the polynomial be represented by P(x), so

$P(x) = (x - (-\sqrt{5}))(x-\sqrt{5})(x-3)\\\\ P(x)=(x +\sqrt{5})(x-\sqrt{5})(x-3)\\\\ P(x)=(x^{2}-(\sqrt{5} )^{2})(x-3)\\\\ P(x)=(x^{2}-5)(x-3)\\\\ P(x)=x^{3}-3x^{2}-5x+15$