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UNO [17]
2 years ago
7

Please help me with this!

Mathematics
1 answer:
morpeh [17]2 years ago
6 0

Answer:

Step-by-step explan

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Principal fourth root of 1
bagirrra123 [75]
Fourth root of 1 is ±1
Hope that helps
6 0
3 years ago
Let n be the smallest positive integer that is a multiple of 75 and has exactly 75 positive integral divisors, including itself
Juli2301 [7.4K]

Answer:

n=2^4 3^4 5^2 =32400 and then we have:

\frac{n}{75}=\frac{2^4 3^4 5^2}{3 5^2}=432

Step-by-step explanation:

From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.

Th first step is find the prime factorization for the number 75 and we see that

75=3 5^2

And we know that 3 =2+1 and 5=3+2 and if we replace we got:

75 = (2+1)(4+1)^2 = (2+1)(4+1)(4+1)

And in order to find 75 integral divisors we need to satisify this condition:

n= a^{r_1 -1}_1 a^{r_2 -1}_2 *...... such that a_1 *a_2*....=75

For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.

And then the value for n would be given by:

n=2^4 3^4 5^2 =32400 and then we have:

\frac{n}{75}=\frac{2^4 3^4 5^2}{3 5^2}=432

8 0
3 years ago
paden payes $2.10 for 5 1/2 pounds of bananas. Alyssa pays $3.25 for 6 1/2 of bananas. Which is the better buy
Kazeer [188]
$2.10 for 5 1/2 lbs.
4 0
3 years ago
What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 6 years if the appropriate disco
Zolol [24]

Answer:4

Step-by-step explanation:

A zero-coupon bond  doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

To figure the price you should pay for a zero-coupon bond, you'll follow these steps:

Divide your required rate of return by 100 to convert it to a decimal.

Add 1 to the required rate of return as a decimal.

Raise the result to the power of the number of years until the bond matures.

Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.

First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.

5 0
3 years ago
Calculate the hcf of 125​
scoundrel [369]

Answer:

factors of 125 are:

1, 5, 25, 125

I'm not sure what u mean..... if you want to find hcf of a value then there has to be two value example: hcf of 125 and 225

7 0
3 years ago
Read 2 more answers
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