2 years ago

Use simple interest to find the ending balance. 26000 at 3% for 2 years

Mathematics

1 answer:

grandymaker [24]2 years ago

5 0

Answer: At the end of 2 years, your savings will have grown to $27,583.
You will have earned in $1,583 in interest

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2 years ago

Solve for x. Show your work.<br> -1/2x <-12

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$x>24$

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Find all values of k so that the trinomial x^2 + kx - 35 can be factored using integers

Korvikt [17]

$(x-r_1)(x-r_2)=x^2-(r_1+r_2)x+r_1r_2$

So the trinomial $x^2+kx-35$ can be factored as long as

$\begin{cases}r_1+r_2=-k\\r_1r_2=-35\end{cases}$

has integer solutions for $r_1,r_2$ . Clearly, both have to be factors of -35, which leaves only a handful of cases:

$(r_1,r_2)=(1,-35)\implies r_1+r_2=-34$
$(r_1,r_2)=(-1,35)\implies r_1+r_2=34$
$(r_1,r_2)=(5,-7)\implies r_1+r_2=-2$
$(r_1,r_2)=(-5,7)\implies r_1+r_2=2$

So the possible values of $k$ are $\pm34$ and $\pm2$ .

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2 years ago