Ask question

Ask question

All categories

3 years ago

15

You deposit $1,200.00 into an account and in three years of simple interest you have $1,380. What interest rate are you receivin

g? Decimals allowed, do not round.

1 answer:

Tcecarenko [31]3 years ago

6 0

Since simple interest doesn't involve compounding, the same amount gets added on every year. So, the equation for the simple interest received is $I = Prt$ , where $I$ is the total interest, $P$ is the original deposit (or "principal"), $r$ is the interest rate, and $t$ is the time passed in years.

Plugging in our values, we can solve for the interest rate:

$I = Prt$
$\$1380 - \$1200 = (\$1200)(r)(3 years)$
$\$180 = (\$1200)(r)(3 years)$
$r = .05 = \bf 5 \%$

You might be interested in

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

2 years ago

Airen’s grandparents deposited $1300 in a mutual fund earning 6% interest compounded annually. Write an equation to represent ho

IRINA_888 [86]

$~~~~~~ \textit{Compound Interest Earned Amount \underline{in 18 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1300\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &18 \end{cases}$

$A=1300\left(1+\frac{0.06}{1}\right)^{1\cdot 18}\implies A=1300(1.06)^{18}\implies A\approx 3710.64 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = 1300(1.06)^x~\hfill$

7 0

2 years ago

Math question pls answers

Roman55 [17]

Answer:

I think it’s 15. Tell me if it’s wrong

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A set of points in the xy-coordinate plane meets two conditions, as described.

Pepsi [2]

Answer:

Condition 1: y>0

Condition 2: x+y>-2

Step-by-step explanation:

We are told that we have a set of points in the Cartesian system (i.e. x-y coordinate), so we can define our point as:

$(x,y)$

We are given two conditions and we want to create a system of inequalities. Now, generally speaking, inequalities are expressions relating mathematical expressions through 'comparison' (i.e. less than, greater than, or less/greater and equal to) usually recognized by , $>$ , $\leq$ and $\geq$ , respectively.

So in our case let set up our inequalities.

Condition 1: the y-coordinate is positive

This can be mathematically translated as

$y>0$

(i.e. $y$ is greater than 0, therefore positive)

Condition 2: the sum of the coordinates is more than -2

This can be mathematically translated as

$x+y>-2$

(i.e. the summation of the two coordinates is greater than -2 but not equal to).

The system of inequalities described by the two conditions is:

$y>0\\x+y>-2$

3 0

3 years ago

Please help me please explain I will promise to give brainliest to best explained answer!

Basile [38]

5/7 that’s that’s the answer

7 0

2 years ago