Find the future value (in dollars) of an 18-month investment of $4,300 into a simple interest rate account that has an annual simple interest rate of 5.1%.

The counting principle says that we multiply the number of ways for each of these events together to get the total number of ways to get a license plate. Hence, there are \(158184000\) ways to create a license plate.

What is the counting principle?

The fundamental counting principle states that if there are \(p\) ways to do one thing and \(q\) ways to do another thing, then there are \(p\)×\(q\) ways to do both things.

So,

The number of ways to count the first number are \(9\) ways.

The number of ways to count the first letter are \(26\) ways

The number of ways to count the next letter are \(26\) ways

The number of ways to count the third letter are \(26\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

So, the total number of ways to get a license plate is:-

\((9).(26).(26).(26).(10).(10).(10)=158184000\).

Hence, there are \(158184000\) ways to create a license plate.

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Answer:

3 15/17 hour

Step-by-step explanation:

Kim: 11 hours for 1 chapter

Bethany: 6 hours for 1 chapter

Together: x hours to proof a chapter

In 1 hour:

Kim proofs 1/11 of a chapter

Bethany proofs 1/6 of a chapter

Kim and Bethany together proof 1/11 + 1/6 of a chapter

Kim and Bethany together proof 1/x of a chapter

Therefore, 1/11 + 1/6 must equal 1/x

1/11 + 1/6 = 1/x

6/66 + 11/66 = 1/x

17/66 = 1/x

x = 66/17

x = 3 15/17

Answer: 3 15/17 hour

Answer:

6. 8 in.²

7. 47.6 m²

9. 20 cm²

Step-by-step explanation:

6. Area of triangle = ½*base*height

base = 4 in.

height = 4 in.

Area = ½*4*4

Area = 2*4

Area = 8 in.²

7. Area of triangle = ½*base*height

base = 13.6 m

height = 7 m

Area = ½*13.6*7

Area = 47.6 m²

9. Area of the shaded figure = area of triangle + area of rectangle

= ½*b*h + L*W

b = 2 cm

h = 4 cm

L = 8 cm

W = 2 cm

Area of the shaded figure = ½*2*4 + 8*2

= 4 + 16

= 20 cm²

Answer:

24

Step-by-step explanation:

The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.

The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.

We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.

In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.

The results are added to obtain the total distance the fish traveled for both activities.

The fish's descent speed = 4 meters per minute (MPM)

The total time for the descent = 2

The total distance for the descent = 8 miles (4 x 2)

The fish's ascent speed = 3 meters per minute (MPM)

The total time during ascent = 3 minutes

The total distance for the ascent = 9 miles (3 x 3)

The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)

Thus, we can mathematically conclude that the fish traveled 17 meters.

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Answer: the Second one

Step-by-step explanation:

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

"3 times the quantity n" = 3 * n = 3n

3n+6

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

A. Area - space inside a figure perimeter - distance around figure

Step-by-step explanation:

I calculated it logically

Answer:

10 ft

Step-by-step explanation:

perpendicular (p)= 6 ft

base(b) =8 ft

hypotenuse (h) = ?

we know by using Pythagoras theorem

h = \(\sqrt{p^{2}+b^{2} }\)

= \(\sqrt{6^{2}+8^{2} }\)

= 10 ft

hope it helps :)

Answer:

5 sq m = 50,000 sq cm

5 sq m = 5 sq m

Step-by-step explanation:

To convert a square meter measurement to a square centimeter measurement, multiply the area by the conversion ratio.

Since one square meter is equal to 10,000 square centimeters, you can use this simple formula to convert:

square centimeters = square meters × 10,000

Answer:

50000 square centimeters.

Step-by-step explanation:

The calculated value mean of the sampling distribution for this population is 56

The mean of the sampling distribution for a population with a normal distribution is equal to the population mean.

Therefore, in this case, the mean of the sampling distribution is also 56.

To understand why this is the case, we can consider the central limit theorem, which states that the sampling distribution of the mean of a random sample from a population with any distribution will be approximately normal if the sample size is large enough.

This means that as the sample size increases, the mean of the sampling distribution approaches the population mean.

Therefore, the mean of the sampling distribution for this population is 56.

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Answer:

78

Step-by-step explanation:

you do 3 *26

The required cost of the dinner not including sales tax was $34.28.

A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.

To find out how much the dinner cost before sales tax, we need to subtract the sales tax amount from the total cost.

We know that the sales tax rate is 8%. To find the sales tax amount, we can multiply the total cost by 8% (or 0.08):

Sales tax = 0.08 * $37.26 = $2.98

To find the cost of the dinner before sales tax, we can subtract the sales tax amount from the total cost:

Cost before sales tax = $37.26 - $2.98 = $34.28

Therefore, the cost of the dinner not including sales tax was $34.28.

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Answer:

All of them but the last one

Step-by-step explanation:

Answer:

$300

Step-by-step explanation:

Let \(x\) be the original price.

\(x \times (1-0.04)=288\)

\(0.96x=288\)

\(x=\frac{288}{0.96}\)

\(x=300\)

Answer:

$300

Step-by-step explanation:

If it was a 4% reduction then we get:

\(x*0.96=288\\\)

Divide both sides by 0.96

\(x=300\)

The original suit price was $300

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

no solutions

Step-by-step explanation:

The graph never intersect.

Answer:

the first circle.

Step-by-step explanation:

please mark brainliest of answers correct. have a nice day!

Answer:

A) -4,3

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

A. To find the constant speed that allows the car to travel exactly 144 feet in exactly 15 seconds, we can use the formula: speed = distance / time.

So, speed = 144 feet / 15 seconds = 9.6 feet/second.

B. If a car traveled at a constant speed of 9.6 feet/second for t seconds, the formula for its distance dd (in feet) from the starting point in terms of the time elapsed, tt (in seconds) would be:

dd = 9.6 feet/second * t seconds = 9.6t feet.

Answer: See below

Step-by-step explanation:

Answer (1)

We must break down the expressions into factors. That is:

\(\begin{align} \log 12&=\log 4\times 3=\log 2^2\times 3\\ \log 12&=\log 2^2+\log 3=2\log 2+\log 3=2x+y\\ \end{align}\)\(\log \frac{14}{3}&=\log 14-\log 3 \\ =\log 2\times 7-\log 3\\ \\\log \frac{14}{3}& =\log 2+\log 7-\log 3 \\ =x+z-y\\\)

Answer (2)

\(\log 0.3 &=\log \frac{3}{10} \\ \\ =\log 3-\log 10 \\=y-1\)

Answer (3)

\(\log 10.5& \\ =\log \frac{21}{2} \\=\log 21-\log 2\\ \\ \log 10.5& \\ =\log 3\times 7-\log 2\\=\log 3+\log 7-\log 2\\=y+z-x\)

Answer:

2/5 of a mile

Step-by-step explanation: steps in picture

Answer:

c and d

Step-by-step explanation:

they both have a percent increase >50

Answer:

(75y+25)

Step-by-step explanation:

Rectangle area= W x L

where L is Length and W is Width.

So,

Area= (3y+1).25

       = (75y+25) miles

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

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