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RideAnS [48]
3 years ago
12

$4,637.10 2) ANNUITY. Suppose that you deposit $200 each month for 20 years into a retirement account earning 6% interest, and t

hen stop making deposits and leave the money earning interest for another 10 years. a) How much will you end up with? Given: $163,198.43 b) How much did you contribute? First find actual deposit = $200 (12)(20) = ? Then SUBTRACT from part a) $71,427.85
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

165488.97

4800

Step-by-step explanation:

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Laine reads 25 pages in 30 minutes. If she reads 200 pages at the same rate how long will it take her?
Veronika [31]

Answer:

4 hours

Step-by-step explanation:

25 pages -> 30 min

5 pages -> 6 min

200 pages -> 6*40 min =240 min

240/60= 4

Thus, the answer is 4 hours

7 0
3 years ago
Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500{ mL} of sauce. Raphael's tomato sauce has 12 cloves of
igomit [66]

For perfect solution we need to have :-  8 colves   in 500ml    solution

500   ml     has   8 cloves

1 ml             has     8 / 500 cloves

100ml         has   8 / 500  * 100  =    8/5  = 1.6 cloves

Raphael's mixture  

    900 ml  has 12 cloves

      1 ml     has   12 / 900 cloves

   100 ml has   12 / 900 *  100   =    12 / 9  =   1.33 cloves

so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution    so it is not garlicky enough.     ( option B)

5 0
3 years ago
Read 2 more answers
Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβ
-Dominant- [34]

Answer:

\tan(\beta)

Step-by-step explanation:

For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something.  If you have options that you're building toward, aim toward one of them.

{\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}    and   {\sec(\theta)}={\dfrac{1}{\cos(\theta)}

Recall the following reciprocal identity:

\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}

So, the original expression can be written in terms of only sines and cosines:

\sin(\beta)\tan(\beta)\sec(\beta)\cot(\beta)

\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }

\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}

\sin(\beta) *\dfrac{1 }{\cos(\beta) }

\dfrac{\sin(\beta)}{\cos(\beta) }

Working toward one of the answers provided, this is the tangent function.


The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero.  However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to \tan(\beta).

8 0
2 years ago
How do i evaluate (7 to the power of 2)to the power of 3)=7 to the power of 5​
kakasveta [241]

Step-by-step explanation:

(7^2)^3=7^5\qquad\bold{FALSE}\\\\\text{because}\\\\7^2=7\cdot7\\\\(7^2)^3=(7\cdot7)^3=(7\cdot7)\cdot(7\cdot7)\cdot(7\cdot7)=\underbrace{7\cdot7\cdot7\cdot7\cdot7\cdot7}_6=7^6\\\\\text{or use}\ (a^n)^m=a^{nm}\\\\(7^2)^3=7^{2\cdot3}=7^6

4 0
3 years ago
Read 2 more answers
You drop a ball from a height of 98 feet. At the same time, your friend throws a ball upward. The polynomials represent the heig
Lynna [10]

Answer: The polynomial is 92 - 46t

92,92,-46,46

Step-by-step explanation:

5 0
3 years ago
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