The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost

To find the solution, we will utilize the compound interest formula: 
where
represents the total amount after years
tex]P[/tex] indicates the original investment 
signifies the interest rate expressed in decimal
shows the frequency of compounding per year
indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span> and . Interest is compounded annually, so . To convert the percentage interest rate into decimal, we divide it by 100%


Now, we can insert these values into our formula:



Substituting  with :


Consequently, we find that the correct answer is D. 

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>



Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>

Answer:

2.55 cubic meters of sand

Step-by-step explanation:

The inquiry focuses on how much sand is needed to completely fill the sandbox. As it is a three-dimensional shape, the concept of 'Volume' is applicable. Volume is determined through the formula L × W × H. By substituting the relevant variables into this equation, you arrive at the final solution. I hope this offers clarity!

Answer:

840

Step-by-step explanation:

As the arrangement matters, we apply the permutations formula to find the solution.

Permutations formula:

The count of possible arrangements of x items chosen from a total of n items is defined by this formula:

For this problem:

Jose occupies the first seat.

The other four can be arranged among the remaining 7 family members. Thus

Hence, the final answer is:

840

Answer:

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Step-by-step breakdown:

Chiang is in the process of filling a 50ft container with water at a speed of 0.5 ft/min.

50ft³ = volume

0.5ft³/min = flow rate

It’s important to note that we still need to determine how long it will take to fill the 50 ft³ container.

Time = volume / rate

Time = 50 ft³ / 0.5 ft³/min

Time = 50 / 0.5 min

Time = 100 min

The main aspects are

50ft³ = volume

0.5ft³/min = filling rate

Time= 100 minutes

Adam and his dad split the bill in a 2:3 ratio. The dad’s share equals the 3 parts and is £52.20, so one part is 52.20 ÷ 3 = £17.40. Adam’s portion (2 parts) is 2 × 17.40 = £34.80. The total cost is 34.80 + 52.20 = £87.00.