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3 years ago

Find the simplest interest paid to the nearest cent for each loan amount interest rate in time 1000 7% into 2 years

Mathematics

2 answers:

nadya68 [22]3 years ago

6 0

Use the formula for simple interest: i = p*r*t. Here,

i = $1,000*(0.07)(2) = $140

This is the simple interest on $1000 at 7% over 2 yrs.

Dima020 [189]3 years ago

3 0

140 i believe

hope this helps :)

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Solution to the inequality 16x−33x<37x+27.

astra-53 [7]

The solution to the inequality is:

$x>\frac{-1}{2}$

Solution:

Given inequality is:

$16x-33x$

We have to find the solution to given inequality

$\mathrm{Add\:similar\:elements:}\:16x-33x=-17x$

$-17x$

$\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}$

$-17x-37x$

Simplify the above inequality

$-54x$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

$\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27$

$\mathrm{Divide\:both\:sides\:by\:}54$

$\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}$

Thus the solution to inequality is found

3 0

4 years ago

Finf the diffrence write your answer in simplest form 2/7+2/5

Fed [463]

The difference (the answer of a subtraction problem) is:
2/7 - 2/5 --> 10/35 - 14/35 = -4/35

The answer sum (the answer of an addition problem) is:
2/7 + 2/5 --> 10/35 + 14/35 = 24/35

Hope this helps.

4 0

3 years ago

Please Help!! Write in exponential form.

Nimfa-mama [501]

Answer:

C, $5e^{i(5\pi/3)$

Step-by-step explanation:

Euler's formula:

$e^{ix}=\cos{x}+i\sin{x}$

Looking at the expression in the parentheses, your x is explicitly given to you as $5\pi/3$ , so using Euler's formula:

$5\left(\cos\frac{5\pi}{3}+i\sin{\frac{5\pi}{3} })=5e^{i(5\pi/3)$

Which is C.

8 0

4 years ago

A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th

Anni [7]

Answer:

The length of a side of the cube-shaped container is 2,016 units

Step-by-step explanation:

step 1

Find the volume of a cube with a side length of 1008 units

The volume of a cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=1,008\ units$

substitute

$V=(1,008)^3\ units^3$

step 2

Find the length side of the cube-shaped container

Let

x-----> the length side of the cube-shaped container in units

we know that

The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units

$x^{2} (252)=(1,008)^3$

solve for x

$x^{2} =\frac{(1,008)^3}{252}$

$x^2=4,064,256$

$x=\sqrt{4,064,256}$

$x=2,016\ units$

therefore

The length of a side of the cube-shaped container is 2,016 units

5 0

3 years ago

Find the angle between the given vectors to the nearest tenth of a degree.

pochemuha

$\bf \textit{angle between two vectors }\\ \quad \\
cos(\theta)=\cfrac{u \cdot v}{||u||\ ||v||} \implies \cfrac{\text{dot product}}{\text{product of magnitudes}}\\ \quad \\\\
\theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||\ ||v||}\right)\\\\
-----------------------------\\\\
\theta=cos^{-1}\left[ \cfrac{\ \textless \ 8,4\ \textgreater \ \quad \cdot \quad \ \textless \ 9,-9\ \textgreater \ }{(\sqrt{8^2+4^2})(\sqrt{9^2+(-9)^2})} \right]$

$\bf \theta=cos^{-1}\left[ \cfrac{(8\cdot 9)+(4\cdot -9)}{(\sqrt{64+16})(\sqrt{81+81})} \right]\implies \theta=cos^{-1}\left[ \cfrac{36}{(\sqrt{80})(\sqrt{162})} \right]
\\\\\\
\theta=cos^{-1}\left[ \cfrac{36}{(\sqrt{80})(\sqrt{162})} \right]\implies 
\theta=cos^{-1}\left[ \cfrac{36}{\sqrt{12960}}\right]
\\\\\\
\theta=cos^{-1}\left[ \cfrac{36}{36\sqrt{10}}\right]\implies \theta\approx 71.565^o$

6 0

4 years ago

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