A boat travels 475 miles in 30

A bank offers a savings account that currently pays 2% interest per year compounded monthly. The amount of money in the account

LekaFEV [45]

The appropriate choice is ...
.. <span>A. The initial amount in the account does not change because it is a factor that is independent of both the interest rate and t.

_____
In general, each of the variables in a formula is independent of the others. (Occasionally, you'll see a formula where that is not true, but then the "variable" will likely be indicated as a function of those things it is dependent upon.)</span>

6 0

3 years ago

It costs $25.25 for a ticket to the annual garlic festival. If Shelby wants to go with three of her friends, how

frozen [14]

Answer:

3: 101.00

Step-by-step explanation:

This is a trick question. It says that Shelby wants to go with THREE other friends and implies that she is going too. So that means there are 4 people going. Hence, do 25.25*4=101.

6 0

3 years ago

Read 2 more answers

Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3 cm 3 cm by 2 cm

mafiozo [28]

Volume of water in the glass = 3 x 2 x 4 = 24 cubic cm.

Volume of water plus the ring = 3 x 2 x 4.25 = 25.5 cubic cm.

Subtract the total with the ring from just the water:

25.5 - 24 = 1.5 cubic cm

7 0

3 years ago

Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Basel

Nat2105 [25]

Answer:

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step

That is $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$ Calvin's step is the correct step.Because this is the correct way to do simplify the rational expression. And also because Nadine made a blender mistake in her operations in step

Step-by-step explanation:

Given that Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4

Their expression can be written as below

$(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}$

Nadine's first step is to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction

That is $\frac{r^{20}s^{12}}{r^{-32}s^8}$

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4

That is $r^{-13}s^{-1}$

Now simplify the given expression to check whose step is correct:

$(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}$

$=(r^{-5}s^{-3}r^{-8}s^{2})^{-4}$ ( using the property $\frac{1}{a^m}=a^{-m}$ )

$=(r^{-5-8}s^{-3+2})^{-4}$

$=(r^{-13}s^{-1})^{-4}$

Therefore $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$

Therefore Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step.

That is $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$ Calvin's step is the correct step .Because this is the correct way to do simplify the rational expression.And also because Nadine made a blender mistake in her operations in step

6 0

3 years ago

Read 2 more answers

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? S

Mashutka [201]

Answer:

The true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd

Step-by-step explanation:

The values of the table of the given Ferris wheel are presented here as follows;

$\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}$

From the table, we have;

The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s

∴ The time it takes the car to complete one revolution = 12 s

The maximum height of the Ferris wheel = 55 yards

The lowest height of the Ferris wheel = 5 yards

The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s

If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel

The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel

∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards

The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel

∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards

Therefore, the true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd.

5 0

3 years ago