On May 1, Cleveland Livingston opened a savings account that paid

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

Step-by-step explanation:

rate = 3.5% per month

A) Six days later the bank calculated the daily interest.

so, time = 6 days

= 6 / 30 = 1/5 month

simple interest $=\frac{P*r*t}{100}$

$=\frac{5000*3.5*1/5}{100} \\\\=35$

=35%

B) For $5000, t = 1 month

For $2000, t = 20 / 30 = 2/3 month

For $8000, t = 16/30 months

Simple interest for $5000

$=\frac{500083.5*1}{100} \\\\= 175$

$175

Simple interest for $2000

$=\frac{2000*3.5*2/3}{100} \\\\=\ 46.67$

=$46.67

Simple interest for $8000

$=\frac{8000*3.5*16/30}{100} \\\\=149.33$

=$149.33

Total amount in account at the end of 30 days is

= $5000 + $175 + $2000 + $46.67 + $8000 + $149.33

= $15371

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Find the surface area of the solid. Round to two decimal places

Ne4ueva [31]

Check the picture below.

so, to get the area of the triangles, we can simply run a perpendicular line from the top to the base, and end up with a right-triangle with a base of 22 and a hypotenuse of 34, let's find the altitude.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{34^2-22^2}=b\implies \sqrt{672}=b$

so then the surface area of the triangular prism is,

$\bf \stackrel{\textit{left and right}}{2(34\cdot 76)}~~+~~\stackrel{\textit{bottom}}{(44\cdot 76)}~~+~~\stackrel{\textit{front and back}}{2\left[\cfrac{1}{2}(44)(\sqrt{672}) \right]}
\\\\\\
8512~~+~~(44)(\sqrt{672})\qquad \approx\qquad 9652.61036291978$