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Lisa [10]
4 years ago
8

A commuter has $245 in his commuter savings account. This account changes by -$15 each week he buys a ticket. If the commuter wa

nts to buy 20 weeks of tickets, how much must he add to his account?
Mathematics
1 answer:
Verizon [17]4 years ago
8 0
$55
$15 each week x 20 weeks of tickets= $300
$300-$245= $55 needed
You might be interested in
Click the picture that I sent you
Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

5 0
3 years ago
Find the value of x and the value of y.
tensa zangetsu [6.8K]

Answer:bro want to be friends i have none

Step-by-step explanation:

5 0
3 years ago
Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground
pshichka [43]

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

8 0
3 years ago
4d^-3 multiplyed by d^18
Verdich [7]
4*d^(-3)*d^18 = 4*d^(18-3) = 4*d^(15).  The trick here is to combine the exponents.

Another way to write this problem would be:

4*d^18
---------- .  Here d^18 divided by d^3 results in d^15, so again the final 
  d^3         answer is 4*d^15.
6 0
3 years ago
Can anybody tell me how to solve this
Lyrx [107]
The answer to your question is:  Yes, someone undoubtedly can.

Although you haven't asked to be told or shown how to solve it, I'm here
already, so I may as well stick around and go through it with you.


The sheet is telling you to find the solutions to two equations, AND THEN
DO SOMETHING WITH THE TWO SOLUTIONS.  But you've cut off the
instructions in the pictures, so all we have are the two equations, and
you'll have to figure out what to do with their solutions.

<u>First equation:</u>
                                   (2/5) x - 6 = -2
Add 6 to each side:
                                   (2/5) x = 4
Multiply each side by 5:
                                   2x = 20
Divide each side by 2 :
                                     <u>x = 10</u>

<u>Second equation:</u>
                                   -3y + 1/4 = 13/4
Subtract 1/4 from each side:
                                   -3y = 12/4
Multiply each side by 4 :
                                -12 y = 12
Divide each side by -12 :
                                      <u> y = -1</u>
5 0
3 years ago
Read 2 more answers
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