Assume that an investment of $9000 earns an APR of 6% compounded monthly for 18 months. How much money is in your account after 18 months?

819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Answer:

30pqr

Step-by-step explanation:

\( \rm \: 2p \times 3q \times 5r = 2 \times 3 \times 5 \times p \times q \times r\)

Multiplying 2, 3, and 5 gives 30, so we have:

\( \rm \: 2p \times 3q \times 5r = 30 \times p \times q \times r\)

Therefore, the simplest form of 2p x 3q x 5r is 30pqr

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!

For part B

0.15 gallons=1.2 pints

Example: .15 x 4= .6

.6 x 2= 1.2 pints

1.2 x 20 seconds= 24 pints!

Hope this helps

Step-by-step explanation:

:)

Answer:

Part A: 52 oz

Part B: 24 pints

Step-by-step explanation:

Part A:

Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.

3 1/4 lb × 16 oz/lb =

= 13/4 × 16 oz

= 13 × 4 oz

= 52 oz

Answer: 52 oz

Part B:

We need to convert from gallons to pints.

1 gallon = 4 quarts

1 quart = 2 pints

That means that 1 gallon = 8 pints.

0.15 gallon/second × 8 pints/gallon =

= 1.2 pints/second

The tap dispenses 1.2 pints/second.

Now we calculate the number of pints dispensed in 20 seconds.

1.2 pints/second × 20 seconds = 24 pints

Answer: 24 pints

Answer:

“A systematic arrangement” of data in rows and columns is called Table.

Explanation: A table is used to arrange data in rows and columns

Answer:

The answer would be D)

Step-by-step explanation:

The angles of a triangle ALWAYS add up to 180. 70+ 70= 140

140+40= 180

Answer:

$9.66 isb15% of $64.40

Step-by-step explanation:

64.40×15%

Answer:

x = 13

Step-by-step explanation:

Answer

Yes, zero is contained in the interval

Step-by-step explanation:

angle 6 is equal to 124° because those two angles are vertical angles. And vertical angles are always equal to each other

Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

The length of shorter side is 2.8 inch.

We have,

A rectangular room is 28 feet by 32 feet.

The Perimeter of scale drawing of room is 12 inches.

So, the perimeter of room

= 2(l +w)

= 2(28+ 32)

= 2(60)

= 120 feet

So, the scale factor is

= 120 / 12

= 10 inches

Thus, the length of shorter side is

= 28/10

= 2.8 inch

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Step-by-step explanation:

sin A = p/h

= √75 / 10

so the value is √75/10

Answer: C. 3

Step-by-step explanation:

As you can see, the numbers on the side are being multiplied by 2

so the inside of the triangle would be 3 since 3x2=6

Answer:

the answer is c

Step-by-step explanation:

Answer:

1. $19,282.025

2.$3698

Step-by-step explanation:

1.

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)

= $19,282.025

2

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PVe^{rt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 2,580e^{0.03*12}\)

= $3,697.99=$3698

Answer:

a) 910

b) 1183

c) False

take these answers with a grain of salt, i cant guarantee accuracy but the process should be right?

Step-by-step explanation:

a)

Starting with 1300 dollars, we are given that the stock loses 30% of its value.

This means that we take 70% of 1300 as it is now at 70% of its value. This gives us 910.

b)

At 910 dollars, we are told that the stock's value rises by 30%, so if we multiply 910 by 1.3 or 130%, we get 1183. At this time, the stock is now worth 1183 dollars.

c)

It is false, as can be seen above a 30% loss followed by a 30% gain results in 91% of the original price. That's a 9% net loss.

This can be seen using variables, x -> 0.7x -> 0.7*1.3 x -> 0.91 x

Answer:

domain: all natural numbers greater than zero and less than or equal to 21

Step-by-step explanation:

You cannot go for zero nights, and the maximum number of nights you can stay is 21. You also cannot have fractional night, so your answer has to be in natural numbers.

Answer:

2.5

Step-by-step explanation:

Given expression:

\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)

Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.

When dividing a fraction by a whole number, first covert the whole number into a fraction:

\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)

When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:

\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)

\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)

\(\implies 6 \times \dfrac{2}{6}+0.5\)

Now carry out the multiplication:

\(\implies \dfrac{6 \times2}{6}+0.5\)

\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)

\(\implies 2+0.5\)

Finally carry out the addition:

\(\implies 2.5\)

2.5

6*(2/3)/2 + 0.5

6*1/3 + 0.5

2 + 0.5

=2.5

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

\(550h\leq 5000\)

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour  she can burn  550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours  <= 5000 calories

\(550h\leq 5000\)

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From the given problem :

f(1) = 2

f(n) = -2f(n-1) + 3

f(5) = ?

Let's find f(2) up to f(5).

For f(2), n = 2

For f(3), n = 3

For f(4), n = 4

For f(5), n = 5

The answer is f(5) = 17

Answer:

x = -4, 7

Step-by-step explanation:

We are given the graph of the function f(x), and we want to find the values that make the statement f(x) = 0.

f(x) = 0 means that there are certain values that make the value of f(x) (which can be considered as y) equal to 0.

We can look to the graph to help us - we should look at where y is equal to 0, which is the x-axis.

On the x-axis, we can see that the function passes through both -4 and 7 (the graph goes up by 1) on that line.

This means that when either -4 or 7 are substituted into the function (i.e. when they are equal to x), they will make the function equal 0.

So,  it means that x = -4, 7.

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

Answer:

1x1 and 20x32

Step-by-step explanation: