Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x =
csc² x = 1 + cot² x
Given
tanθ = , then cotθ =
csc²θ = 1 + ( )² = 1 +
=
cscθ = ± = ±
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - ×
= -
The eggs of birds and other animals come in many different shapes and sizes. Eggs often have a shape that is nearly spherical. W
1 answer:
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<span>You have the following inequality given in the problem shown above:
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1
-1<x</span>≤<span>1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>
(x^2-1)/(x^2+5x+4)</span>≤<span>0
1. To solve it, you must factor it and then you must make the study of the signs.
2. Once you do the proccedure mentioned above, you obtain the following solutions:
-4<x<-1
-1<x</span>≤<span>1
3. You can graph the inaquality given in the problem, as you can see in the figure attached.</span>
If I deposit $400 each month into an account earning 8% interest compounded monthly, I will have $6,517 in my account in 35 years. The total money that I will put into the account is $168,000. I will earn a total compound interest of $6,117.
- Calculating the Sum of Money in 35 years
Given information is as follows,
Principal, P = $400
Rate = 8%
Time, T = 35 years
n = 12 (Compounded monthly)
The amount for compound interest is given as,
A =
A =
A = 6,517.02
A = $6,517 (to the nearest cents)
- Calculating the Amount Put in Account
Since, $400 is deposited every month for 35 years,
Amount Put in 35 years for this compound interest =$400 × 12 × 35
= $168,000
- Calculating the Compound Interest
A = P + CI
Thus, the compound interest is given by,
CI = A - P
CI = 6517 - 400
CI = $6,117
I will earn a total interest of $6,117
Learn more about compound interest here:
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