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irina1246 [14]
2 years ago
5

The expression 10,785(1.0275)x represents the amount of money in an investment account with interest that compounds annually for

x years. Interpret the meaning of the expression.
Mathematics
1 answer:
Ksivusya [100]2 years ago
3 0

Answer: It shows the formula for "Amount" using the compound interest formula.

Step-by-step explanation:

Since we have given that

The expression :

10785(1.0275)^x

So, it can be rewritten as

10785(1+0.0275)^x\\\\=10785(1+\dfrac{2.75}{100})^x

Here, initial investment = $ 10785

Rate of interest = 2.75%

Number of years = x

So, it shows the formula for "Amount" using the compound interest formula.

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What is the factored form of 36x4 – 25?
gladu [14]
36x^4 - 25=(6x^2)^2-5^2=(6x^2-5)(6x^2+5)
8 0
2 years ago
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The green goober a wildly unpopular hero mixes 3 L of yellow paint was 5 L of blue plate to make a leader is a special green pai
Butoxors [25]

Answer:

<u>The equation can be y = 3b/5 or b = 5y/3</u>

Correct statement and question:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.  

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.

Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.

We know that:

y:b = 3:5

Therefore,

5y = 3b, dividing by 5 at both sides we have:

y = 3b/5

And also dividing by 3 at both sides we have:

<u>b = 5y/3</u>

Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.

4 0
2 years ago
The box plot summarizes the number of people enrolling in fitness classes each month during one year at the city gym. The mean o
FrozenT [24]

Answer:

first blank: mean

second blank: greater than

third blank: increased

fourth blank:  greater than

Step-by-step explanation:

I can't see the options in each blank, even though I completed them with reasonable options.

The MAD of a set of data is the average distance between each data value and the mean. 400 is further than the mean than the MAD. This, increases the variability of the originally data set. As a consequence, the inclusion of 400 will result in a greater MAD

4 0
2 years ago
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A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p
irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

x^{2} + y^{2} = z^{2}

Differentiating the above equation with respect to time yields,

2x\frac{dx}{dt}  + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}

x\frac{dx}{dt}  + y\frac{dy}{dt} = z\frac{dz}{dt}

dx/dt = 0  since dock height doesn't change

y\frac{dy}{dt} = z\frac{dz}{dt}

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

\frac{dy}{dt} = \frac{13.93}{13}(2)

\frac{dy}{dt} = 2.14 ft/s

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0
2 years ago
Algebra. Find the variable in the equation 803 divided by 73=m
weeeeeb [17]

<u>Answer:</u>

The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.

<u>Solution:</u>

Need to find the variable in the given equation 803 divided by 73 = m

That means need to solve below expression to determine value of variable m.

\frac{803}{73}=m

So let’s solve left hand side to get the value of  m.

For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

\begin{array}{l}{803=73 \times 11} \\\\ {73=73 \times 1} \\\\ {=>\frac{803}{73}=\frac{73 \times 11}{73 \times 1}=11}\end{array}

Hence value of variable m is equal to 11.

8 0
2 years ago
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