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2 years ago

Find prime factorizations of 3,210 and 3,528. Show your work.

2 answers:

5 0

Find the prime factorization of 3210
3210 = 2 × 3 × 5 × 107

Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3

GCF = 6

ANSWER: 6

brilliants [131]2 years ago

4 0

9514 1404 393

Answer:

3210 = 2·3·5·107

3528 = 2³·3²·7²

Step-by-step explanation:

Divisibility rules help.

A number is divisible by 2 if it is even.

A number is divisible by 3 if the sum of digits is divisible by 3.

A number is divisible by 5 if it ends in 5 or 0.

A number is divisible by 7 if subtracting twice the 1s digit from the rest of the number results in a number divisible by 7.

Even, and ends in 0, so is divisible by 2·5

3210/10 = 321

Sum of digits is 6, so is divisible by 3

321/3 = 107

None of the divisibility rules applies, and √107 ≈ 10.3, so there are no prime factors of 107.

3210 = 2·3·5·107

Ends in 2 digits divisible by 4, so is divisible by 4

3528/4 = 882

Even, so is divisible by 2

882/2 = 441

Sum of digits is 9, so is divisible by 9

441/9 = 49

This is recognizable as the square of 7.

3528 = 2³·3²·7²

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Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn

elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>

Step one:

First, convert R as a percent to r as a decimal

r = x/100

Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

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2 years ago

How to do the problem

SpyIntel [72]

The top and sides of the cylinder have an area of pr^2+2prh, but the pr^2 of the top is also removed from the cube which has an area of 6s^2.

A=6s^2+2prh

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A≈241.13 in^2 (to nearest one-hundredth)

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3 0

3 years ago

The area of a rectangular playground is 16 square yards. the length of the playground is 4 times longer than its width. find the

OLga [1]

W= width
l= length= 4w

Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w

LENGTH
l=4w
l=4(2)
l=8 yards

CHECK:
16= (8)(2)
16= 16

ANSWER: The length is 8 yards and the width is 2 yards.

Hope this helps! :)

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3 years ago

You need a 30-year, fixed-rate mortgage to buy a new home for $225,000. your bank will lend you the money at an apr of 5.5 perce

bulgar [2K]

Loan amount, P = 225000
interest = 5.5%/12 per month
Monthly payment, A = 1000

At the end of 30 years,
Future value of loan (with zero repayment)
F1=225000*(1+.055/12)^(30*12)
=1167162.264

Future value of repayment, A=1000 per month
F2= $\frac{A((1+i)^n-1)}{i}$
= $\frac{1000((1+.055/12)^{360}-1)}{.055/12}$
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