What is the GCF of 20and 32

Solve pleaseeeeeeeeeeeeee

Harman [31]

Answer:

x > 3

Step-by-step explanation:

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4 0

3 years ago

Even numbers between 27 and 39

lianna [129]

Even numbers are numbers that can be divisible by 2, so in this case
28, 30, 32, 34, 36, 38
^ are even numbers because they can be divided by 2

6 0

3 years ago

If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

$A = P(1 + \frac{r}{n})^{nt}$ to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

$nt = 4 \times 30 = 120$

$r/n = 0.065/4 = .01625$

$1 + r/n = 1.01625$

$(1 + r/n)^{nt} = 1.01625^{120}$

Therefore

$A = 25000 \times 1.0625^{120} = 172,984.44$

4 0

2 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

$P(5) = 2P(0)$

Which lets us find r.

$P(t) = P(0)(1+r)^{t}$

$2P(0) = P(0)(1+r)^{5}$

$(1+r)^{5} = 2$

Applying the 5th root to both sides

$1+r = 1.1487$

$r = 0.1487$

So

$P(t) = P(0)(1.1487)^{t}$

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

$P(t) = P(0)(1.1487)^{t}$

$12000 = P(0)(1.1487)^{3}$

$1.5157P(0) = 12000$

$P(0) = \frac{12000}{1.5157}$

$P(0) = 7917$

4 0

3 years ago

When testing the difference between two population means and the population variances are unknown and unequal, the degrees of fr

levacccp [35]

Answer: 34 degrees of freedom should be used to find the p-value of the test .

Step-by-step explanation:

Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.

Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.

But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.

i.e. [df]=[34.7]= 34

Thus , 34 degrees of freedom should be used to find the p-value of the test .

6 0

4 years ago