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Sidana [21]
3 years ago
7

The number of new cars purchased in a city can be modeled by the equation where C is the number of new cars and t is the number

of years since 1958. C = 26t^2 + 168t + 4208. In what year will the number of new cars reach 15,000? a. 2026 b. 1993 c. 1970 d. 1976 Solve using the quadratic formula. HELP PLZ!
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0
C(t)=26t^2+168t+4208, and we wish to know when C(t)=15000

26t^2+168t+4208=15000

26t^2+168t-10792=0

They want you to use the quadratic formula...

For a quadratic of the form ax^2+bx+c=0, the quadratic formula is:

x=(-b±√(b^2-4ac))/(2a), in this case we have:

x=(-168±√1122368)/52, since x>0

x≈17.14

1958+17.14≈1975.14

So by 1976 the number of new cars will reach 15000.
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The given line passes through the points (-2,-4) and (2,2) What is the equation, in point-slope form, of the line that is parall
Morgarella [4.7K]

Answer:

(y-1)=\frac{3}{2}(x+3)


Step-by-step explanation:

The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)


Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

(y-1)=\frac{3}{2}(x+3)




3 0
3 years ago
1. A student invests $500 in a savings account that earns 4% interest per
bixtya [17]

Answer:

The equation can be used to determine the amount of money S(t)  that her savings account has after t years is S(t)=500(1.04)^t

Step-by-step explanation:

A student invests $500 in a savings account

Principal = $500

Rate of interest = 4% = 0.04

We are supposed to find equation can be used to determine the amount of money S(t)  that her savings account has after t years

Formula : A=P(1+r)^t

Where A is the amount after t years =S(t)

t = time

r = rate of interest in decimals =0.04

P = Principal=500

Substitute the value in the formula :

So, S(t)=500(1+0.04)^t

S(t)=500(1.04)^t

Hence The equation can be used to determine the amount of money S(t)  that her savings account has after t years is S(t)=500(1.04)^t

6 0
3 years ago
Solve the quadratic equation below for the exact values of x.<br><br> 4x² - 5 = 75
vfiekz [6]

Answer:

x = ±2√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Multiple Roots

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x² - 5 = 75

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 5 on both sides:                                    4x² = 80
  2. [Division Property of Equality] Divide 4 on both sides:                                  x² = 20
  3. [Equality Property] Square root both sides:                                                    x = ±2√5
8 0
3 years ago
Read 2 more answers
I will give brainliest<br> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
postnew [5]

Answer:

I've labled all in red, hope this helps.

8 0
2 years ago
According to Internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while
KonstantinChe [14]

Answer:

0.0656

Step-by-step explanation:

For each message, we have these following probabilities:

90% probability it is spam.

10% probability it is legitimate.

Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:

The first four all spam, each with a 90% probability.

The fifth legitimate, with a 10% probability.

P = (0.9)^{4} \times 0.1 = 0.0656

3 0
3 years ago
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