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3 years ago

2a ³+10=26 Show the work on how you got it

Mathematics

1 answer:

Usimov [2.4K]3 years ago

4 0

Answer:

a=2

Step-by-step explanation:

subtract 10 from both sides

2a^3=26-10

simplify

2a^3=16

Divivde both side by 2

a^2=16/2

simplify

a^3=8

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how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% com

miskamm [114]

To find the difference between the tow investments we are going to use tow formulas. Simple interest formula for our simple interest investment, and compound interest formula for our compound interest investment.
- Simple interest formula: $A=P(1+rt)$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ , so lets replace those values in our simple interest formula to find $A$ :
$A=5000(1+(0.04)(5))$
$A=5000(1.2)$
$A=6000$

Now that we know the final investment value of our simple interest investment, lets use the compound interest formula to find the final investment value of the other one:
- Compound interest formula: $A=P(1+ \frac{r}{n})^{nt}$
where
   $A$ is the final investment value
   $P$ is the initial investment
   $r$ is the interest rate in decimal form
   $n$ is the number of times the interest is compounded per year
   $t$ is the time in years
For our problem we know that $P=5000$ , $r= \frac{4}{100} =0.04$ , and $t=5$ . Since we know that the interest is compounded quarterly (each 4 months), it mean that is compounded $\frac{12months}{4months} =3$ times per year, so $n=3$ . Now that we have all the vales, lets replace them in our formula:
$A=5000(1+ \frac{0.04}{3} )^{(3)(5)}$
$A=5000(1+ \frac{0.04}{3} )^{15}$
$A=6098.95$

now that we know the final amounts of our investments, lets find how much difference is between them:
$6098.95-6000=98.95$

We can conclude that the difference between invest $5000 in a compound interest investment vs a simple interest investment is $98.95.

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4 years ago

Please help me find the value of x the answer must be exact

jenyasd209 [6]

Answer:

$x=11$

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

$leg=x\\hypotenuse=x\sqrt{2}$

Therefore, the value of x is 11.

You can double-check using the sine ratio:

$sineX=\frac{opposite}{hypotenuse}$

Insert the values:

$sin45=\frac{x}{11\sqrt{2} }$

Insert the equation into a calculator:

$x=11$

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

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The answer is two is to three
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