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1 year ago

For this equation, tell whether it is always true, sometimes true, or nevertrue.

Mathematics

1 answer:

dybincka [34]1 year ago

3 0

To answer the question we make the sum on the left side of the equation:

$\begin{gathered} \frac{1}{2}y+5=\frac{y+10}{2} \\ \frac{y}{2}+5=\frac{y+10}{2} \\ \frac{y}{2}+\frac{10}{2}=\frac{y+10}{2} \\ \frac{y+10}{2}=\frac{y+10}{2} \end{gathered}$

Since both sides are exactly the same. this equation is always true.

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5000 12% compounded quarterly compound interest table find earned after 5 years

kolezko [41]

<h3>Amount earned after 5 years is $ 9030.5561</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1+\frac{r}{n})^{nt}$

A = the future value of the investment including interest

P = the principal investment amount

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 5000

t = 5 years

$r = 12 \% = \frac{12}{100} = 0.12$

n = 4 ( since interest is compounded quarterly )

Substituting the values we get,

$A = 5000(1+\frac{0.12}{4})^{4 \times 5}\\\\A = 5000(1+0.03)^{20}\\\\A = 5000 \times 1.03^{20}\\\\A = 5000 \times 1.806111\\\\A = 9030.5561$

Thus amount earned after 5 years is $ 9030.5561

7 0

3 years ago

1800 amounts to 2100 in 3 years find the rate percent

pashok25 [27]

this is the correct answer

5 0

3 years ago

Simplifying rational expressions

Sonbull [250]

1. $\frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_$
   $\frac{c + 8}{c + 3}_,_$

2. $\frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_$
   $\frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_$
   $\frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_$
   $\frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_$
   $\frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_$
   $\frac{n + 6}{n + 4}_,_$

3. $\frac{42x^{2}y^{3}}{28x^{3}y}_,_$
   $\frac{3y^{2}}{2x}_,_$

4. $\frac{m^{2} - 3m - 10}{m - 5}_,_$
   $\frac{m^{2} - 5m + 2m - 10}{m - 5}_,_$
   $\frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_$
   $\frac{m(m - 5) + 2(m - 5)}{m - 5}_,_$
   $\frac{(m + 2)(m - 5)}{m - 5}_,_$
   $m + 2_,_$

3 0

3 years ago

What is 3x^2-2n-5=0 please help me!!!

expeople1 [14]

The answer to your question is:
It is a quadratic equation in 'x', with 'n' mistakenly typed in the second term..

Although you didn't ask for the solutions to the equation, I'm already here
so I might as well go through it and find them:

3x² - 2x - 5 = 0

In terms of the generic quadratic formula:
A = 3
B = -2
C = -5

Plug those into the quadratic formula, and you discover that

x = -1
and
x = ⁵/₃

7 0

3 years ago

Read 2 more answers

A farmer builds a fence to enclose a rectangular pasture.He uses 160 feet of fence. Find the total area if the pasture is 50 fee

Sergeeva-Olga [200]

2L +2W=160
100+ 2W=160
subtract 100 from each side
2W=60
divide by two each side
W=30
use the formula L×W=Area or 50×30 which equals 150 the are of the pasture is 150 feet²

3 0

3 years ago