1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ede4ka [16]
3 years ago
13

Question 3

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer:

D = 141

Step-by-step explanation:

The given quadratic equation is

5x^2+9x=3\\\\5x^2+9x-3=0.

It is required to find the value of the discriminant. The value of discriminant  of any quadratic equation is given by :

D=b^2-4ac

Here, a = 5, b = 9 and c = -3

On plugging all the values, we get :

D=(9)^2-4\times 5\times (-3)\\\\D=141

So, the value of discriminant for y is 141.

You might be interested in
Surface area of a sphere is 615.752 m2, what is the volume of the sphere?
const2013 [10]

B

the volume (V) of a sphere = \frac{4}{3} πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = \frac{615.752}{12.56} = 49.0248...

take the square root of both sides

r = \sqrt{49.0248..} ≈ 7, hence

V= \frac{4}{3} × π × 7³ = 1436.76 m³ → B



8 0
3 years ago
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.
3241004551 [841]
Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612 
Food $238 
Transportation $370 
What is the problem with this budget? 
The answer is => She has allotted more than 36% of her income for housing
8 0
3 years ago
Read 2 more answers
Name two ways that saving and investing are different
aleksandrvk [35]
Saving and investing are different because investing will generate and duplicate the initial money put it in while savings will stay the same amount without duplicating as it would if it was invested.
6 0
3 years ago
You saved $20,000.00 and want to diversify your monies. You invest 45% in a Treasury bond for 3 years at 4.35% APR compounded an
Maru [420]

Compound Interest

A total of $20,000 is invested in different assets.

45% is invested in a Treasury bond for 3 years at 4.35 APR compounded annually.

For this investment, the principal is P = 0.45*$20,000 = $9,000.

The compounding period is yearly, thus the interest rate is:

i = 4.35 / 100 = 0.0435

The duration (in periods) is n = 3

Calculate the final value with the formula:

M=P_{}(1+i)^n

Substituting:

\begin{gathered} M=\$9,000_{}(1+0.0435)^3 \\ M=\$9,000\cdot1.136259062875 \\ M=\$10,226.33 \end{gathered}

The second investment is a CD at 3.75% APR for 3 years compounded annually. The parameters for the calculations are as follows:

P = 15% of $20,000 = $3,000

i = 3.75 / 100 = 0.0375

n = 3

Calculating:

\begin{gathered} M=\$3,000_{}(1+0.0375)^3 \\ M=\$3,000\cdot1.116771484375 \\ M=\$3,350.31 \end{gathered}

The third investment is in a stock plan. The initial value of the investment is

P = 20% of $20,000 = $4,000

By the end of the first year, the stock plan increased by 8%, thus its value is:

M1 = $4000 * 1.2 = $4,800

By the end of the second year, the stock plan decreased by 4$, thus the value is:

M2 = $4,800 * 0.96 = $4,608

Finally, the stock plan increases by 6%, resulting in a final balance of:

M3 = $4,608 * 1.06 = $4,884.48

Finally, the last investment is in a savings account at 2.90% APR compounded annually for 3 years (not mentioned, but assumed).

P = $20,000 - $9,000- $3,000 - $4,000 = $4,000

i = 2.90 / 100 = 0.029

n = 3

Calculating:

\begin{gathered} M=\$4,000_{}(1+0.029)^3 \\ M=\$4,000\cdot1.089547389 \\ M=\$4,358.19 \end{gathered}

To summarize, the final balances for each type of investment at the end of the third year are:

Investment 1; $10,226.33

Investment 2: $3,350.31

Investment 3: $4,884.48

Investment 4: $4,358.19

Total balance: $22,819.32

3 0
1 year ago
Why is 3/12 a rational number
iVinArrow [24]
3/12 is a rational number because rational numbers can be written in the form of a/b

When you simplify 3/12, you get 1/4, which is a fraction
4 0
3 years ago
Read 2 more answers
Other questions:
  • Factor by pulling out the gif 3x+18
    15·1 answer
  • Which statement is true about the function f(x) = square root of x
    13·1 answer
  • -3 1/2 divided by 2 1/3=
    14·1 answer
  • Multiple<br>1. Which of the following is Eular's formula?<br>OE-V + F = 2<br>OV-E+ F = 2​
    9·1 answer
  • How to factor out the coefficient of the variable : 1/2m + 1/2 = ??
    11·2 answers
  • Write a story that would explain the graph below.
    11·2 answers
  • Cecilia bought a necklace made of silver and blue beads. The necklace had 30 silver beads and 36 blue beads. The information car
    8·2 answers
  • PLEASE HELP GIVING BRAINLIEST MUCH APPRECIATED
    10·1 answer
  • To the nearest​ millimeter, a cell phone is 114 mm long and 69 mm wide. What is the ratio of the width to the​ length
    14·1 answer
  • Can someone help me with this problem?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!