if you deposit $1,000 in an account that pays 6% annual interest compounded continuously what will the balance be after 5 years
a.$1,232.06
b.1,349.86
c.29,803.91
d.1,932.06

Answer:

Step-by-step explanation:

Yep you are 100% correct grate job!!

Answer:

$69.75

Step-by-step explanation:

2 jackets cost $46.50 and 5 jackets cost $116.25

The different between 5 and 2 is 3.

So the cost of 3 jackets would be  =$116.25 - $46.50

                                                        = $69.75

Answer:

28%

Step-by-step explanation:

On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and Elena had 45% of the votes. You can take the number of total votes on Thursday equal to 100, then Anna had 20 votes, Ivan had 35 votes and Elena had 45 votes.

Let x be the number of votes added on Friday. All of them favored Elena, then Elena in total had 45+x votes and the number of all votes became 100+x. In the end Anna had 16%, then

100+x - 100%,

20 - 16%.

Write a proportion:

[tex]\dfrac{100+x}{20}=\dfrac{100}{16},\\ \\16(100+x)=2000,\\ \\1600+16x=2000,\\ \\16x=400,\\ \\x=25.[/tex]

Find the percent of the voters that chose Ivan:

125 - 100%,

35 - y%.

Write a proportion:

[tex]\dfrac{125}{35}=\dfrac{100}{y},\\ \\125y=35\cdot 100,\\ \\y=\dfrac{35\cdot 100}{125}=\dfrac{35\cdot 4}{5}=7\cdot 4=28\%.[/tex]

I think the answer is

1) B

2) C

3) A

hopes this helps ;)

Answer:

x=-6,  y=3

Step-by-step explanation:

I will use elimination to eliminate the x variable.

Add the two equations.

-3x-3y=9

3x+8y=6

-------------------

   5y  = 15

Divide each side by 5

5y/5 = 15/5

y=3

Now we need to find x

3x+8y=6

Substitute y=3

3x+8*3 =6

3x+24=6

Subtract 24 from each side

3x+24-24 = 6-24

3x = -18

Divide each side by 3

3x/3 = -18/3

x=-6

The hypothesis of the conditional statement given is a quadrilateral has 4 right angles.

This is the 'If' part of the 'If P then Q' structure of a conditional statement.

In a conditional statement in logic, the statement is usually given in the form 'If P then Q'. Here, 'P' is called the Hypothesis, and 'Q' is the Conclusion. In the statement 'If a quadrilateral has 4 right angles, then the quadrilateral is a rectangle', the Hypothesis (P) is a quadrilateral has 4 right angles. So, to answer your question, the hypothesis of this conditional statement is that a quadrilateral has 4 right angles.

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Answer:

It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.

Step-by-step explanation:

hope this helped

Answer:

1/6

Step-by-step explanation:

The rise is 1 and the run is 6

Answer: ₹128

Step-by-step explanation:

To work out the simple interest, you need to work out 8% of ₹20,000 for 2 years, which is 1.08 * ₹20,000 = ₹21,600 in the first year and ₹23,200 in the second year

To work out the compound interest, you need to work out 8% of the new value

1st year: ₹21,600

2nd year: 8% of ₹21,600 = ₹23,328

The difference is ₹23,328 - ₹23,200 = ₹128

x > -3 and x < 4

in interval notation

[tex]x\in(-3,\ 4)[/tex]

>; < - a open circle on the number line and the parenthesis ( or )

≥; ≤ - a filled-in circle on the number line and the parenthesis  [ or ]

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- Time taken by family to travel 600 km is 8 hours

CALCULATIONS :-

To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour

Distance traveled in 1 hour = 600 km ÷ 8

                                             = 75 km

Time required to travel 2100 km = 2100 ÷ 75

                                                        = 28 hours

Therefore time required to travel 2100 km is 28 hours.

Final answer:

The Rawlins family, traveling at a speed of 75 km/hour, will take a total of 28 hours

Explanation:

To determine the travel time for the remaining distance of the Rawlins family's journey, we use the formula

time = distance / speed. First, we need to find the family's speed during their trip. They have travelled 600 km in 8 hours, so their speed is

600 km / 8 hours = 75 km/hour.

Next, we calculate the time it would take to travel the total distance of 2100 km at this speed. So,

time = 2100 km / 75 km/hour. Upon performing the calculation, we get 28 hours. Therefore, if they continue at the same speed, the total travel time for the entire journey would be 28 hours.

On the graph, the solution to the system of equations is the point of intersection (the point where the lines meet)

So the solution is (-4, 3)

Answer:

The solution for the system is [tex](-4,3)[/tex], that is, [tex]x=-4[/tex] and [tex]y=3[/tex].

Step-by-step explanation:

The solution of a system of equations can be find by using different methods, one of them is the graphic method, which is the one aplied to this problem.

When we use the graphic method to solve a system of equations, the interception point of both line represents the solution of such system.

Therefore, in this case, the solution for the system is [tex](-4,3)[/tex], that is, [tex]x=-4[/tex] and [tex]y=3[/tex].

Answer:

This is approximately 11 cars per hour

Step-by-step explanation:

We want to find the the cars per hour so we will divide cars/ hour

72 cars/6.5 hours

11.07692308 cars per hour

This is approximately 11 cars per hour

Answer:

11.08 cars per hour      Please give brainliest.

Step-by-step explanation:

72 ÷ 6.5 = 11.076  = 11.08 cars per hour

Final answer:

The distance between the points (–9,2) and (–4,2) is 5 units, calculated as the absolute difference between the x-coordinates since the y-coordinates are equal.

Explanation:

The distance between the points (–9,2) and (–4,2) can be found using the distance formula, which is derived from the Pythagorean theorem. For two points (x1, y1) and (x2, y2) the distance is given by √((x2 - x1)² + (y2 - y1)²). However, because the y-coordinates of the points are the same, we can simplify this to the absolute value of the difference between the x-coordinates.

In this case, the distance is |(–4) - (–9)|, which simplifies to 5 units. There's no need to calculate a square root because there is no vertical change between the points.

Answer:

Your answer is A:5

Answer: 5,409

Step-by-step explanation: Five thousand blocks is equivalent to 5,000. Four hundred blocks is equivalent to 400. Nine ones is equivalent to 9. In standard form, this number is five thousand four hundred and nine (5,409).

Question

solve equation for x

Answer:

Step-by-step explanation:

1/4 - 2/3x = 3/4 - 1/3x

1/4 - 3/4 = 2/3x - 1/3x

-2/4 = 1/3x

x = -2/4 : 1/3

x = -2/4 * 3

x = -6/4 semplified -3/2

Answer:

Her son mowed more and 7/20 need to be mowed

Step-by-step explanation:

1/4 x 5 = 5/20 - Mrs Tran

2/5 x 4 = 8/20 - her son

20/20 - 13/20 = 7/20 needs to be finished

Answer:

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 ( subtract 16 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old

Answer:

A. 0

Step-by-step explanation:

23/40 is approximately 1/2.

11/30 is approximately 1/2.

Sine 1/2 - 1/2 = 0, then 23/40 - 11/30 is approximately 0.

By converting the given fractions to a common denominator and performing subtraction, the result falls closest to the benchmark of 0. Hence, the estimated sum or difference of 23/40 and 11/30 is 0.

The given problem is 23/40 - 11/30 and the student has to estimate the result using the benchmarks 0, 1/2, and 1.Steps to resolve the problem:

The benchmark that is closest to 1/4 is 0. So, the estimated sum or difference would be 0.

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Answer:

c. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression [tex]3.59p[/tex] represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and [tex]3.59p[/tex] represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.

Upon looking at our given choices, we can see that option C is the correct choice.

Answer:

0.33 Km/Min

Step-by-step explanation:

Answer:

x < - 17 or x > 7

Step-by-step explanation:

Inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

For | x + 5 | > 12, then

x + 5 < - 12 or x + 5 > 12 ( subtract 5 from both sides of the inequalities )

x < - 17 or x > 7

Answer:

  =36.36 percent

Step-by-step explanation:

First we need to determine what you saved

11-7 = 4

You saved 4 dollars

Percentage of savings = savings /original price * 100

                                      = 4/11 * 100

                                       =36.36 percent

You saved $4.00 using an RX savings card on a prescription that originally cost $11.00. To find how much you saved in percentage terms, you divide the amount saved by the original cost and multiply by 100. In this case, you saved approximately 36.36%.

You are asking about the percentage savings when using a free RX savings card. To get the savings percentage, you first need to know how much money you saved. In your case, you would have paid $11.00, but you only paid $7.00 with the RX savings card. That means you saved $11.00 - $7.00 = $4.00.

Next, to find the savings as a percentage, you divide the amount saved by the original cost, then multiply by 100 to get a percentage. Here's the calculation:

Savings Percentage = ($4.00 / $11.00) * 100

Doing the division first (4 ÷ 11 = 0.3636), then multiplying by 100, you saved approximately 36.36% with your RX savings card.

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Answer:

30, 40, 50 which is choice C

Step-by-step explanation:

Square the smaller two values (30 and 40)

30^2 = 900

40^2 = 1600

then add those results

900+1600 = 2500

Notice how 50^2 = 2500 as well. This shows us that 30^2 + 40^2 = 50^2 is a true equation. Both sides lead to the same result 2500. Therefore, a triangle with sides 30, 40, 50 is a right triangle. This is based on the 3-4-5 pythagorean triple, just each side has been multiplied by 10.

The set that represents a Pythagorean triple is 30, 40, 50. Hence, the correct option is C.

Pythagorean triples are sets of three numbers that satisfy the Pythagorean theorem, a² + b² = c², where a, b, and c are the lengths of the sides of a right triangle. To determine which set represents a Pythagorean triple, we need to check if the set's numbers satisfy this theorem.

Looking at the options:

A) 1, 2, 3 does not form a Pythagorean triple.

B) 9, 12, 16 does not form a Pythagorean triple.

C) 30, 40, 50 does form a Pythagorean triple because 30² + 40² = 900 + 1600 = 2500 = 50².

D) 38, 44, 49 does not form a Pythagorean triple.

Therefore, the set that represents a Pythagorean triple is C) 30, 40, 50.

Answer:

43.02

Step-by-step explanation:

Note the hundredth place value (underlined and bolded): 43.017

Look at the place value directly to the right of the one you are solving for (thousandth place value). It is a 7. Because 7 is greater than 5, round up

43.017 rounded to the nearest hundredth is 43.02

~

Answer:

43.02

Step-by-step explanation:

tens  ones.  tenths hundredths  thousandths

4          3     .   0          1                   7

The one is in the hundredths place, so we need to look at the 7

7>= 5 so we need to round the 1 up to 2

43.017 rounds to 43.02

Jaylan : Water/Juice=(3/4)/(1/5)=15/4

Wanchen : Water/Juice=(2/3)/(1/6)=4/1 or 16/4

Wanchen has a weaker lime flavor because there is more water in her mixture than Jaylan's limeade. Both have the same amount of lime juice (assuming ratio), and Wanchen has more water, making Wanchen have the limeade that has the weaker lime flavor.

Answer: 25

Step-by-step explanation: