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Sophie [7]
3 years ago
15

3.6.PS-8 If the simple interest on $5,000 for 9 years is $2,700, then what is the interest rate? The rate is %. .​

Mathematics
1 answer:
Arada [10]3 years ago
5 0

~~~~~~ \textit{Simple Interest Earned}\\\\I = Prt\qquad\begin{cases}I=\textit{interest earned}\dotfill &\$2700\\P=\textit{original amount deposited}\dotfill & \$5000\\r=rate\to r\%\to \frac{r}{100}\dotfill &0.0r\\t=years\dotfill &9\end{cases}\\\\\\2700=(5000)(0.0r)(9)\implies 2700=45000(0.0r)\implies \cfrac{2700}{45000}=0.0r\\\\\\\cfrac{3}{50} = 0.0r\implies \cfrac{3}{50} = \cfrac{r}{100}\implies \cfrac{3\cdot 100}{50}=r\implies 6 = \stackrel{\%}{r}

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A glass of water was seven- eighths of a liter. With a 6 liter jug, how many glasses could you pour? Do you have to multiply div
ivolga24 [154]

Let us suppose, we pour x glass of water.

The given jug is of 6 liters. And the glass of water was seven- eighths of a liter. Hence, we have the below equation

\frac{7}{8} x= 6

Now, in order to solve for x, we will divide 6 with 7/8. So, we have to divide.

x=\frac{6}{7/8} \\
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x=\frac{48}{7} \\
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x=6.9

Hence, we can pour 7 glass of water. But the 7th glass is not full of water. It is partially full.

5 0
3 years ago
Find the rate of change between (-3,6) (0,-3)
marin [14]
<h3>The rate of change between (-3,6) (0,-3) is -3</h3>

<em><u>Solution:</u></em>

Given that,

We have to find the rate of change between (-3,6) (0,-3)

<em><u>The rate of change is given as:</u></em>

Rate\ of\ change = \frac{y_2-y_1}{x_2-x_1}

From given,

(x_1, y_1) = (-3, 6)\\\\(x_2, y_2) = (0, -3)

<em><u>Substituting the values we get,</u></em>

Rate\ of\ change = \frac{-3-6}{0+3}\\\\Rate\ of\ change = \frac{-9}{3}\\\\Rate\ of\ change = -3

Thus rate of change is -3

3 0
3 years ago
HELP I NEED HELP ASAP
Anni [7]
I think the answer is letter D.

:) have a good day
7 0
3 years ago
Identify the horizontal asymptote of f(x)=x^2+6x-9 over x-2
lora16 [44]
\bf \cfrac{x^2+6x-9}{x-2}\qquad &#10;\begin{cases}&#10;x^2\impliedby \textit{has a degree of 2}\\&#10;x^1\impliedby \textit{has a degree of 1}&#10;\end{cases}

if the degree of the expression of the numerator is greater than that of the denominator, the rational expression has no horizontal asymptote.
7 0
3 years ago
Point m is located at 4,-2 what is located 2 units for point m
eimsori [14]

Answer:

None

Step-by-step explanation:

Given

m = (4,-2)

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

m' = (4+2,-2) = (6,-2)

m" = (4,-2+2) = (4,0)

m'''= (4-2,-2) = (2,-2)

m'''' = (4,-2-2) = (4,-4)

From the graph, we have:

A = (4,2)

B = (-4,2)

C = (2,-3)

None of the points is 2 units from m

7 0
3 years ago
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