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1 year ago

If a submarine dives 378 feet in 14 seconds, the average change in elevation is

Mathematics

1 answer:

4vir4ik [10]1 year ago

7 0

Answer: The average change in elevation is 27 feet per second.

Step-by-step explanation:

A submarine dives = 378 feet

Time taken in the total diving = 14 seconds.

So, according to the question, the average change in the elevation can be calculated by

⇒ Feet per second = feet/ second

⇒ the average change = 378/14

⇒ elevation = 27 feet per second.

Change in elevation is basically the distance covered in one second.

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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account

Studentka2010 [4]

The formula for compound interest is:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}$

Given data:

$\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}$

a. After ten years, that is t = 10 years, the amount in the account will be

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}$

b. After twenty years, that is t = 20 years, the amount in the account will be:

$\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}$

c. The time it takes for Harry's initial account value to double will be:

$\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}$

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0

1 year ago

Brand Y Cola sponsors a survey of 15,559 residents of Texas to determine which brand of cola they prefer. Forty percent say they

Triss [41]

Answer:

6224 Brand X residents and 9335 Brand Y residents

Step-by-step explanation:

Total number of residents in the survey=15559

Residents that prefer Brand X=40%

Residents that prefer Brand Y=60%

<u>Population sample?</u>

Residents that prefer Brand X= 40/100 ×15559 =6223.6⇒6224 residents

Residents that prefer Brand Y= 60/100 × 15559 =9335.4⇒⇒9335 residents

3 0

3 years ago

Read 2 more answers

saved Erica saved 20% on a shirt she just bought if the amount of money she saved was $6 what was the original price of the shir

olga2289 [7]

If the amount she saved was $6 for 20%, then the formula for finding savings would be cost*percentage.
But if you want to find the original cost, then you play with the current formula until you get this. $6/20%. Have a good one :)

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3 years ago

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Find the circumference of the circle.<br> 7 m

Nutka1998 [239]

Answer:

43.96m is the answer

Step-by-step explanation:

circumference of circle=2πr

=2*3.14*7

=43.96m

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2 years ago

A toy that was originally $35 is now marked down to $28. What percentage was the toy marked down to

Mkey [24]

Answer: 20% off

Step-by-step explanation:

35.00 times .20 = 7.00

35.00 minus 7.00 = 28.00

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2 years ago