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2 years ago

If the simple interest on $4,000 for 7 years is $1,400, then what is the interest rate?

Mathematics

1 answer:

alisha [4.7K]2 years ago

7 0

$1400 = $4000 × 7 × r / 100

$1400 = 28000 × r / 100

$ 1400 = $ 280 × r

rate = $1400 ÷ $ 280

rate = 5

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Solving the linear equations variable on one side

Brums [2.3K]

The pick up fee is $2.50.

After each mile, $1.95 is added.

That is, after the first mile, we have;

$\begin{gathered} \text{Fe}e=\text{ 2.50 + 1.95(1)} \\ \text{After the second mile, we have;} \\ Fee=\text{ 2.50+1.95(2)} \end{gathered}$

Isaac total charge = $27.46;

Generally, let the number of miles driven by the taxi be x, then we have;

$1.95x+2.50=27.46$

Solving for the number of miles Isaac travelled, we have;

$\begin{gathered} 1.95x=27.46-2.50 \\ 1.95x=24.96 \\ x=\frac{24.96}{1.95} \\ x=12.8\text{miles} \end{gathered}$

CORRECT OPTION:

$1.95x+2.50=27.46;\text{ Isaac traveled 12.8 miles.}$

4 0

1 year ago

Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.

Fiesta28 [93]

So, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
68.73&100\\
12&p
\end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}$

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.

4 0

3 years ago

Cost of 10 oranges is one dollar what is the cost of five

aleksley [76]

10 oranges = $1
5 oranges = $?

To get from 10 to 5 you divide by 2 so that’s what you do with the $1 so it would be $0.50

8 0

3 years ago

(a) find the general solution to y^{\,\prime\prime} + 3 y^{\,\prime} = 0. give your answer as y = . . . \ . in your answer, use

KengaRu [80]

We want to solve
y'' + 3y' = 0

Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3

The basic solutions are e⁰=1 and $e^{-3x}$ .

Answer:
The general solution is
$y(x) = c_{1} + c_{2}e^{-3x}$

4 0

3 years ago

This is 13 points plz help ( no links ) explain your answer plz<br> ( only answer if u know it )

umka21 [38]

The answer is 960 :)

4 0

3 years ago