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Nuetrik [128]
2 years ago
13

To write the polynomial 5x^4+8x^5-2x+3 in standard form, which term is the leading term?

Mathematics
1 answer:
NARA [144]2 years ago
7 0
Leading term is the term with the highest power (first term from left to writewhen arranged in decreasing power order)

8x^5 is higher power than 5x^4 (5>4)

so leading term is 5th degree
constant=0 degree (x^0=1)
linear=1st degree (x^1)
quartic=4th degree (x^4)
quintic=5th degree (x^5)

answer would be B
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What’s the answer to this please? Thanks!
Serjik [45]

Answer:

70

  1. beacuse (2x-35)+75=180
  2. (2x-35)=105
  3. 2x=140
  4. x=70
3 0
3 years ago
In a seventh grade class, the ratio of boys to girls is 3/9. there are 28 students in the class. Which equation show how to find
Shkiper50 [21]

Answer:

Hey there! ok , so your equation would be 28 / 3

Step-by-step explanation:

The equation would be 28/3 because there are 28 students in the class and the ratio of boys to girls is 3-9 meaning that it is 1/3, which is the same as dividing by 3, so the equation would be 28/3

5 0
2 years ago
Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu
kakasveta [241]

Step-by-step explanation:

  • Natalie has $5000
  • She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

  • continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}

or

P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}

Here,

i = interest rate

= number of compounding periods

t = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, n, becomes infinitely large.

Therefore, the formula as we discussed above would become:

                                        P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

Part c) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₂ =\:6107.02 $

So, Natalie will have \:6107.02 $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

                            P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}

$₁₀ =13.597.50 $

So, Natalie will have 13.597.50 $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

#learnwithBrainly

5 0
3 years ago
WORTH 25 POINTS!
Nina [5.8K]

The equation we can use is

3 + 1/4c = 9

To find the total number of pieces, we would just solve the equation.

3 + 1/4c = 9

3 - 3 +1/4c = 9 - 3

1/4c = 6

inverse of division is multiputcation

4/1 *1/4c = 6*4

c = 24

There were 24 pieces of cake in total.

6 0
2 years ago
Read 2 more answers
Calculate the future value of $51,123.21, earning interest at a rate of that is compounded daily for 20 years and 2 months (use
mina [271]

The compound interest formula is : A = P(1+ \frac{r}{n})^n ^t

where, A= Future value including the interest,

P= Principle amount, r= rate of interest in decimal form,

t= number of years and n= number of compounding in a year

Here, in this problem P= $ 51,123.21 , t= 20 years and 2 months

So, t= 20 + (2/12) years

t= 20 + 0.17 = 20.17 years

As the amount is compounded daily, so n= (12×30)= 360 [Using the traditional Banker’s rule of 30 days per month]

Thus, A = 51,123.21( 1+ \frac{r}{360})^3^6^0^*^2^0^.^1^7

A= 51,123.21 (1+\frac{r}{360})^7^2^6^1^.^2

When the interest rate is given, then we can use this equation for finding the future value.

3 0
2 years ago
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