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3 years ago

Point B(5, -6, -1) is translated using the transformation (x - 2, y + 3, z + 1). What are the coordinates of B´?

Mathematics

1 answer:

denpristay [2]3 years ago

6 0

B(5 - 2, -6 + 3, -1 + 1) = B(3, -3, 0)

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11000 is compounded semiannually at a rate of 12% for 21 years. Find the total amount in the compound interest account

marishachu [46]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\dotfill &\$11000\\
r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus twice}
\end{array}\dotfill &2\\
t=years\dotfill &21
\end{cases}$

$\bf A=11000\left(1+\frac{0.12}{2}\right)^{2\cdot 21}\implies A=11000(1.06)^{42}\implies A\approx 127127.359416$

5 0

4 years ago

Which of the binomials below is a factor of this trinomial? 4x2 + 21x + 5

guapka [62]

Answer:

B. 4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

8 0

3 years ago

Find the points that go in between (-4,7) and (6,5)

Marina CMI [18]

The point in between is (1,2)

7 0

3 years ago

F(x) = x2 + 9, g(x) = *square root of* x + 8, find g(f(x))

ICE Princess25 [194]

Answer:

g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

f(x) = x^2 +9

g(x) = √(x +8)

The definition of g(f(x)) is ...

g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

g(f(x)) = √(x^2 +17)

6 0

3 years ago

Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate

Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$

So, the correct answer is B

3 0

3 years ago