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3 years ago

Explain the importance ofknowing how to reduce radicals

1 answer:

5 0

If you are cooking or in a lab and you are using measurements and you need to cut the recipe or compounds in half or double it you need to know how to do so

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A square has an area of 4ft. What is the length of watch side

ohaa [14]

Answer:

Step-by-step explanation:

square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2

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4 years ago

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Rewrite as a simplified fraction:<br> 3.541

Karolina [17]

Answer:

3 541/1000

Step-by-step explanation:

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3 years ago

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What is the length of each leg of the triangle below?

timama [110]

Answer:

A. 15

Step-by-step explanation:

Hypotenuse = 22

Since the two angles other than the 90° are both

45° , it means that the two legs of the right triangle are of equal length.

So, (x)²+ (x)² = 22²

2x² = 22²

x² = 484/2

x² = 242

x = √242

x = 15.55

x ≈ 15

3 0

2 years ago

Which decimal is equivalent to 122/11

IgorLugansk [536]

$\dfrac{122}{11}=11.090909\ldots=11.\overline{09}\approx11.09$

3 0

3 years ago

George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T

pentagon [3]

Answer:

Part A) $\$12,220.00$

Part B) $\$12,134.08$

Part C) The simple interest investment is better than the compounded interest investment at the end of three years.

Part D) see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074$

substitute in the formula above

$A=10,000(1+0.074*3)$

$A=10,000(1.222)$

$A=\$12,220.00$

Part B) Determine the value of the compound-interest investment at the end of three years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=10,000(1+\frac{0.065}{4})^{4*3}$

$A=10,000(1.01625)^{12}$

$A=\$12,134.08$

Part C) Which investment is better over the first three years?

Compare the two investment

$\$12,134.08 < \$12,220.00$

The compounded interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

$A=10,000(1+0.074t)$ ----> simple interest formula as a function of the time t

$A=10,000(1.01625)^{4t}$ ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0

3 years ago

Explain the importance ofknowing how to reduce radicals​

Explain the importance ofknowing how to reduce radicals