3⋅35=n Express your answer as a simple fraction or improper fraction in simplest form.

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

sashaice [31]

The term that could be put in the blank is x^2y^2

<h3>How to complete the polynomial?</h3>

The polynomial is given as:

8x^3y^2 - ___ + 3xy^2 - 4y^3

From the above expression, we can see that each term has a decreasing power of x from x to 0.

The missing power of x in the expression is 2

So, the term that completes the expression must have x^2

Hence, the term that could be put in the blank is x^2y^2

Read more about polynomial at:

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4 0

2 years ago

Pedro Pascal wants to have $15,000 in an account after five years. He found a bank that will offer him a 7.5% interest rate, com

Juli2301 [7.4K]

<u>Answer-</u>

He needs to put $10345 in the account today, in order to get 15000 in five years.

<u>Solution-</u>

We know that,

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

Where,

A = future value of the investment with interest = 15000

P = principal investment amount

r = annual interest rate (decimal) = 7.5% = 0.075

n = number of times that interest is compounded per year = 4

t = the number of years the money is invested = 5

Putting the values,

$15000=P(1+\frac{0.075}{4})^{4 \times 5}$

$\Rightarrow P=\frac{15000}{(1+0.01875)^{20}} =\frac{15000}{1.01875^{20}} =\frac{15000}{1.45} =10344.8 \approx 10345$

6 0

3 years ago

Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

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

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

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

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0

3 years ago

What’s a complex conjugate in math

goldenfox [79]

Answer:

Step-by-step explanation:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.

3 0

4 years ago

The results of a survey of 43 students and the foreign language they are studying are shown in the two-way frequency table.

babunello [35]

Since 5 out of 43 people take chinese, it's 5/43 which is the same as 0.116 which means 11,6%

I hope this was helpful! Tell me if it's unclear!

4 0

4 years ago