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
77julia77 [94]
3 years ago
5

Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).

Mathematics
1 answer:
Paladinen [302]3 years ago
5 0
Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
f(a) = sec(a)
f'(a) = sec(a)tan(a)
f'(0) = sec(0)tan(0) = 0

y = mx + c
1 = 0(0) + c
c = 1

Therefore, required equation is
y = 1.
You might be interested in
If your financial goal is to save at least $40,000 in 10 years, what would be the least
adoni [48]

<em><u>The least amount of money you would need to invest per month is; $335</u></em>

<em><u>The anticipated rate of return on your investments is; 7%</u></em>

<em><u /></em>

  • Amount to have been saved at the end of 10 years ≥ $40,000

Number of years of savings = 10 years.

  • We want to find out the least amount to be invested per month.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

  • Thus, amount to be saved monthly = 40000/12 = $333.33
  • Since the minimum amount he wants to save after 10 years is $40000, then we need to approximate the monthly savings in order.

Thus;

Monthly savings ≈ $335

  • Now, for the anticipated rate of return on the investment, we know from S & P's that the benchmark on good rate of return for investment is a minimum of 7%.

  • From online calculator, the worth of the investment after 10 years based on 7% rate of return yearly would be $57626.

Read more at; brainly.com/question/9187598

4 0
2 years ago
Discounts and what is the outcome
Pachacha [2.7K]

Answer:

with discount+tax= $23.15

Step-by-step explanation:

board game is 25

discount: 15%

tax: 7.5%

discount means you take off that amount

tax means you add that amount

discount: 15% off

tax: +7.5%

to find 15% of 25 multiply 25 by 15% (15/100=0.15)

25*0.15

= 3.75

then subtract that from 25

25-3.75

=21.25

tax:

0.075*25

=1.875

~1.9

21.25+1.9

=23.15

5 0
3 years ago
Would appreciate any help!! :D
Salsk061 [2.6K]
73+112+90=275
360-275=85
the angle of x is 85 degrees
(pls mark brainliest)
6 0
2 years ago
Which of the following is a factor<br> of the expression 5x^2- 13x-6?
tatiyna

Answer:

(5x+2) (x-3)

Step-by-step explanation:

4 0
2 years ago
Mike wants to make meatloaf . His recipe uses a total of 5 pounds of meat . If he use a 3 to 1 radio of beef to pork how much po
Sergio [31]

Answer:

1  and 2/3

Step-by-step explanation:

5/3 = 1 and 2/3 * 1 = 1 and 2/3

4 0
3 years ago
Other questions:
  • Does anyone know how to simplify this?
    5·2 answers
  • Fill in the missing facts from the fact family3•3=9
    9·1 answer
  • How can you use remainders in divison problems
    9·2 answers
  • Is the equation 8x12x5 =- 8x(12x5) an associative property or distributive property equation?
    14·2 answers
  • What is the vertex?? Please answer QUICK!
    15·1 answer
  • Emily has 8 coins in her purse totaling 50 cents. The only kinds of coins she has are nickels and dimes. How many nickels does E
    5·2 answers
  • PLEASE HELP FAST!! 15 POINTS!!!! PLUS WILL MARK BRAINLIEST!!!!!
    10·1 answer
  • Write and solve an equation to determine the height of a rectangular prism
    8·1 answer
  • The meadian of 26 29 31 33 36
    13·2 answers
  • Plot the vertex and the axis of symmetry of this function on a graph.<br><br> f(x) = (x + 2)2 − 6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!