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4 years ago

Apply Your Knowledge

Mathematics

1 answer:

vladimir2022 [97]4 years ago

8 0

Answer:

$25

Step-by-step explanation:

We know,

Monthly interest = (Principal × Interest rate) ÷ 12

Given,

Loan principal = $3,000

Interest rate = 10% = 0.10

Therefore, monthly interest = ($3,000 × 0.10) ÷ 12

Monthly interest = $300 ÷ 12

Monthly interest = $25

Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.

So, Jamison will pay $25 as interest for the 36-month $3,000 loan.

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Becky is making 1/2 batch of chocolate chip cookies. The recipe calls for cup 7/8 chocolate chips. How much chocolate does Becky

nignag [31]

Answer:

3/8 chocolate chips

Step-by-step explanation:

1/2 needs to have the same denominator as 7/8

2 * 4 = 8 (denominator) but what you do for the denominator has to apply for the numerator.

1 * 4 = 4 (numerator)

so now you successfully converted 1/2 to 4/8.

Now you solve, total - items you have = how much you need

7/8 - 4/8 = 3/8

5 0

3 years ago

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The basic wage earned by a truck driver for a 40 hour week is $560.00. (a) calculate his hourly rate (b) for the overtime work ,

frozen [14]

Answer:

$875.00

Step-by-step explanation:

3 0

3 years ago

Consider the quadratic function f(x)=−x^2+x+30

yaroslaw [1]

Answer:

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The yy-intercept is $y = 30$ .

Step-by-step explanation:

Given a quadratic function in the following format:

$f(x) = ax^{2} + bx + c = 0, a \neq 0$

The x-values of the x-intercepts are $x_{1}, x_{2}$ , given by the following formulas.

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

We have that:

$f(x) = -x^{2} + x + 30$

This is not in the format above. I will multiply by (-1), so we have:

$f(x) = x^{2} - x - 30$

So, $a = 1, b = -1, c = -30$

$\bigtriangleup = b^{2} - 4ac = (-1)^{2} - 4*(1)*(-30) = 1 + 120 = 121$

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) + \sqrt{121}}{2(1)} = \frac{12}{2} = 6$

$x_{2} = \frac{-b + \sqrt{\bigtriangleup}}{2*a} = \frac{-(-1) - \sqrt{121}}{2(1)} = \frac{-10}{2} = -5$

This means that

The smallest xx-intercept is $x = -5$

The largest xx-intercept is $x = 6$

The y-intercept is the value of f(x) when x = 0. So

$f(x)=−x^{2}+x+30$

$f(0) = 30$

The yy-intercept is $y = 30$ .

5 0

3 years ago

If you were to deposit $12,000 and the bank paid you 6% interest compounded quarterly, what would the maturity value of your dep

xenn [34]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\$12000\\
r=rate\to6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, meaning}
\end{array}\to &4\\

t=years\to &9
\end{cases}
\\\\\\
A=12000\left(1+\frac{0.06}{4}\right)^{4\cdot 9}$

4 0

3 years ago

Does anybody know this? I need some help

aksik [14]

Answer:

hay multiplocalo y bxa no se ingles solo español

6 0

3 years ago

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