Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?

Answers

Answer 1

the accumulated value,y

Y=360*(1+0.03)^x

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Suppose you are trying to estimate the number of field mice in a small field. one day you capture 100 mice, mark them and release them. the next day you capture 150 mice of which 15 are marked. what is the estimate for the population size?

Answers

You start with 100 unmarked mice. Then you capture 150 more but 15 of them are marked.

150-15=135

135 + 100 = 235

The estimated mice population is about 235 mice

During the 2008-2009 season,there were 801,372 people who attended the home hockey games in Philadelphia.There were 609,907 people who attended the home hockey games in Phoenix. How much greater was the home attendance in Philadelphia than in Philadelphia than in Phoenix that season?

Answers

the answer is 191,465

Birth weights of babies born to full-term pregnancies followed roughly a normal distribution. at meadowbrook hospital, the mean weight of babies born to full-term pregnancies is 7 pounds with a standard deviation of 14 ounces (1 pound = 16 ounces). what is the probability that the average weight of the four babies will be more than 7.5 pounds

Answers

Final answer:

To find the probability that the average weight of four babies will be more than 7.5 pounds, we calculate the z-score and look it up in the standard normal distribution table. The probability is approximately 0.2843, or 28.43%.

Explanation:

To find the probability that the average weight of four babies will be more than 7.5 pounds, we need to calculate the z-score and look it up in the standard normal distribution table.

First, we convert the weight of 7.5 pounds to ounces: 7.5 pounds * 16 ounces = 120 ounces.

Next, we calculate the z-score using the formula: z = (x - &μ) / &σ, where x is the given weight, &μ is the mean weight, and &σ is the standard deviation. In this case, z = (120 - 112) / 14 = 0.571.

Finally, we can look up the probability using the z-score in the standard normal distribution table. The probability of the average weight of four babies being more than 7.5 pounds is approximately 0.2843, or 28.43%.

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Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts?

Answers

Hello! The first thing you want to do is subtract 88 from 71 which gives you 17. If you multiply the belts times 71 that gives you 11,360. So then you have 17 left and all you do is multiply the shoe cost by 17 and that gives you 7,905. If you add 11,360+7,905 that gives you 19,265. So the correct answer would be 71!

I hope this helped!

I am, yours most sincerely,
SuperHelperThingy

Find k so that the line containing the points (-5,k) and (2,10) is parallel to the line containing the points (5,5) and (1,-4)

Answers

Final answer:

To find the value of k so that the line containing the points (-5,k) and (2,10) is parallel to the line containing the points (5,5) and (1,-4), we need to find the slope of the second line and use it to find the value of k.

Explanation:

To find the value of k so that the line containing the points (-5, k) and (2, 10) is parallel to the line containing the points (5, 5) and (1, -4), we need to find the slope of the second line and use it to find the value of k. Firstly, let's find the slope of the second line:

The formula we apply is the slope

= (y2 - y1) / (x2 - x1).

slope = -9 / -4 = 9/4;

slope = (-4 - 5) / (1 - 5)

The lines now have the same slope since they are parallel.

So, the slope of the line passing through (-5, k) and (2, 10) should also be 9/4. We can find the slope using the formula:

slope = (y2 - y1) / (x2 - x1)

Substituting the coordinates (-5, k) and (2, 10):

9/4 = (10 - k) / (2 - (-5))

By simplifying the equation, we get:

9 = 7(10 - k)

Now, let's solve for k:

90 - 9k = 63

-9k = 63 - 90

-9k = -27

k = 3

how do you factor 30n^2b-87nb+30b?

Answers

It's not clear whether you meant 30n^(2b) or [30n^2] b.

I will assume the latter.

b can then be factored out of all three terms, resulting in

b [30n^2 - 87n + 30] = b [ 3 ] [10n^2 - 29n + 10 ]

Can you factor this further?

66681 to the nearest ten thousand

Answers

Hi, your answer is 67,000 because it is closer to that then to 66,000...

Write 0.0004571 in scientific notation.

Answers

4.571 X 10^-4

you do this by moving the decimal until there is no zeros, to the left of the decimal point.

scientific notation means to write the answer in standard form. standard form helps you to express numbers that are too big or too small to be conveniently written in decimal form.
so for this case, it will be 4.571×10^-4.
when the number is decimal, you move the dot to the right and it will always be multiplying 10 to the power of a negative power.

Write 405,612 in expanded form

Answers

Expanded Notation Form:
400,000 +0 +5,000 +600 +10 +2
Expanded Factors Form:
4 ×100,000 +0 ×10,000 +5 ×1,000 +6 ×100 +1 ×10 +2 ×1
Expanded Exponential Form:
4 × 105+0 × 104+5 × 103+6 × 102+1 × 101+2 × 100

400,000+5,000+600+10+2

Which number identifies the amount of fuel remaining in the tank? cross out A. 0.312 cross out B. 0.375 cross out C. 0.550 cross out D. 0.625

Answers

i think the answer is B?

Which statements about limiting reactants are correct? more than one answer may be correct?

Answers

Where is the question?

The perimeter of a rectangular house is 122 ft. the width is 5 ft less than the length. find the length and the width.

Answers

Attached a solution and showed work.

The sum of any two consecutive prime numbers is also prime

Answers

Let's consider two prime numbers where each is larger than 2

Say the primes 7 and 11. Adding them gets us 7+11 = 18. This counter example disproves the initial claim since 18 = 9*2 = 6*3 making 18 composite (not prime)

In general, if we let p and q be two primes such that q > p > 2 and q is the next prime after p, then p and q are both odd. If any of them were even then they wouldn't be prime (2 would be a factor)

Adding any two odd numbers together leads to an even number

Proof:
p = 2k+1 where k is some integer
q = 2m+1 where m is some integer
p+q = 2k+1+2m+1 = 2(k+m) + 2 = 2(k+m+1) which is in the form of an even number

That proof above shows us that adding any prime larger than 2 to its next prime up leads to an even number. This further shows us that the claim is false overall. It is only true if you restrict yourself to the primes 2 and 3, which add to 5. Otherwise, the claim is false.

Starting at sea level, a submarine descends at a constant rate to a depth of −4/5 mile relative to sea level in 3 minutes. What was the submarine's depth relative to sea level after the first minute? Enter your answer in the comments.

Answers

-4/5 in 3 minutes

(-4/5)/3 = -4/15

After the first minute, the relative depth is -4/15

hope this helps

the answer is 3/200 of a mile

A black-tailed jackrabbit hops about 7 feet in a single hop how far can a hop in 5 seconds

Answers

The answer for this is 35 you have to multiply 5 by 7 and you will get your answer

Answer:

A black-tailed jackrabbit can hopes 36 in 5 seconds.

Step-by-step explanation:

Consider the provided information.

Black tailed jackrabbit hopes 51 feet in one second.

Therefore, in 5 second Black tailed jackrabbit covers a distance of:

51×5=255 feet

So, in 5 seconds a black-tailed jackrabbit will travel 255 feet.

In one hops Black tailed jackrabbit covers 7 feet.

Now find the number of hops, we need to divide the distance by the length of one hop:

[tex]255\div 7=\frac{255}{7}\approx36[/tex]

Hence, A black-tailed jackrabbit can hopes 36 in 5 seconds.

An airline, believing that 4% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). suppose that for a particular flight involving a jumbo-jet with 267 seats, the airline sells 276 tickets.
a. what is the expected number of ticket holders that will fail to show for the flight?

Answers

276/100=2.76 2.76=1%
2.76*4=11 rounded
11 people will fail to show

The expected number of ticket holders that will fail to show for the flight is 11.

Given that,

There is a fail percentage of 4%.There are 267 seats.And, the 276 airline tickets are sold.

Based on the above information,

= 276%

= 2.76

Now the number of ticket holders who fail for presenting the flight should be

[tex]= 2.76\times 4[/tex]

= 11

Therefore we can conclude that the expected number of ticket holders that will fail to show for the flight is 11.

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What is the answer to 5(6*5)

Answers

if you are doing order of operations the answer is 145 but if you are doing distribute property the answer would be 30 25
Hope this helps

the answer is 150, hope this helps!

What is the value of the digit 4 in 46000?

Answers

i think it is the tens because the first is ten thousand, second is thousand, third is hundreds and last is units ones

the answer is ten thousands

The ratio of red to greens was 5 to 16 and six times the number of reds exceeded the number of greens by 112. How many were red and how many were green?

Answers

Red is 'R' while Green is "G"
from the ratio, 5R = 16 G
and the second equation is 6R = G +112
Lets solve for G in the 2nd equation ----> G = 6R -112
Plug the G value into the first equation ----> 5R = 16(6R -112) -->R = 19.69
Plug the R value into the second equation to get G-----> G = 6.14

Imagine you have an urn containing 5 red, 3 blue, and 2 orange marbles in it. 1. what is the probability that the first marble you draw is blue?

Answers

5 red, 3 blue, 2 orange....total of 10

P(first one is blue) = blue / total = 3/10 <=

If the assessed valuation is $103,220 and the tax rate per $100 is $4.32, what is the annual tax?

A) $3,924.45

B) $3,565.24

C) $3,058.08

D) $4,459.10

I got D, is that correct?

Answers

You are correct. The answer is choice D.

x = annual tax

4.32/100 = x/103220
4.32*103220 = 100x
445910.4 = 100x
445910.4/100 = 100x/100
4459.104 = x
x = 4459.104
x = 4459.10

Alternatively take 4.32% of 103,220 to get
(4.32/100)*103220
(0.0432)*103220
4459.104
4459.10

and we get the same answer

Can some one show me how to do this pleases?!.

A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bills was $53.50. Write and solve an equation to find the price of each shrub

Answers

Let the price of each shrub be x 4x + 17.50 = 53.50 4x = 53.50 - 17.50 x = 36/4 = $9

What point in the feasible region maximizes the objective function constraints: x>=0 y>=0 -x+3>=y y<=1/3 x+1 Objective function: C=5x-4y Please explain!

Answers

c= o because the c=5x-4y the x is 0 and the y is 0 so your answer is zero

Answer:

So, the maximum of C is 15 at (3,0) and the minimum value is 0 at (0,0)

Step-by-step explanation:

When you graph all of the constraint functions, the vertices of the shape that is made are at the points above. Now you plug those points into the function equation C=5x-4y and see where you get a max or min.

(0,1)

(1.5,1.5)

(0,0)

(3,0)

(1,1)=C=1

(1.5,1.5)=C=1.5

(0,0)=C=0

(3,0)=C=15

So, the maximum of C is 15 at (3,0) and the minimum value is 0 at (0,0)

0.5 is what type of number

Answers

Decimal, I'd think. It's only part of a whole number.

Answer:

Rational.

Step-by-step explanation:

We are asked to determine the type of number 0.5.

We can see that our given number is a decimal.

We can also see that our given number is a terminating decimal, so we can represent it as a fraction.

[tex]0.5\times \frac{10}{10}=\frac{5}{10}=\frac{1}{2}[/tex]

Therefor, our given number is a rational number as we can represent it as a fraction.

What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this sequence?

Answers

The general term is obtained by starting with the initial value 5 and then subtracting 4 each time you wish to generate a new term:

a2 = second term = 5+(2-1)(-4) = 5+(-4) = 1

General term:

an = nth term = 5+(n-1)(-4)

Thus, the 21st term is 5+(21-1)(-4) = 5 + (20)(-4) = -75 (answer)

22 less than 5 times a number f into a algebraic expression

Answers

5f-22 =x (or any variable)

22
less than = <
5 times a number f = 5f

22 < 5f

This is your equation. The next few steps are to solve, but you might not have to solve.

*DO NOT USE NEXT FEW STEPS IF NOT SUPPOSED TO SOLVE*

To solve it, you divide both sides by 5.

22 ÷ 5 = 4.4
5f ÷ 5 = f

Solution: f < 4.4

Hope this helps! :D

Lydia purchased a 15 cup bag of pasta. the suggested serving is 3/4 cup per person. how many servings are in a 15 cup bag of pasta

Answers

The answer is 20, if you divided 15 by 3/4, you have your answer.

To find out how many servings are in a 15 cup bag of pasta when serving size is 3/4 cup per person, divide 15 by 3/4, which equals 20 servings.

Firstly, convert the mixed fraction into an improper fraction for easier division: 3/4 remains the same since it is already a proper fraction.

Now, carry out the division: 15 ÷ (3/4)
= 15 × (4/3) (You multiply by the reciprocal of 3/4)

Then, multiply the numbers:
= 15 × 4 ÷ 3
= 60 ÷ 3
= 20

Therefore, there are 20 servings in a 15 cup bag of pasta when the serving size is 3/4 cup per person.

if the sin 30 degrees is 1/2 then the cos ____=____.

Answers

Try A) 60 degrees; 1/2. Your answer was incorrect because cos(60 degrees) is 1/2, cos(30 degrees) is square root 3 /2 not 1 or square root 2 /2

We have that if the sin 30 degrees is 1/2 then the cos __60=1/2.__

Option C

Trigonometry

Question Parameters:

The sin 30 degrees is 1/2

Generally, the Trigonometry of a right angle triangle gives values for sin, cos, tan.

Using the triangle we have that

if the sin 30 degrees is 1/2 then the cos60=1/2

Therefore, if the sin 30 degrees is 1/2 then the cos __60=1/2__.

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One number is 4 less than a second number. Twice the second number is 16 less than 5 times the first. Find the two numbers.

Answers

Call the first number x and the second number y.

x = y - 4
2y = 5x - 16

Substitute what x equals from the first equation in the second equation.

2y = 5(y - 4) - 16

2y = 5y - 20 - 16

-3y = -36

y = 12

Now use the first equation for find x.

x = y - 4

x = 12 - 4

x = 8

The numbers are 8 and 12.

Let's check:

8 is 4 less than 12.

Twice 12 is 24.
5 times 8 is 40, and 16 less than 40 is 24.

Our answer is correct.

The two numbers are 8 and 12.

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

Let us assume first number be = x

and, let the second number be = y

the,

One number is 4 less than a second number means :

x = y - 4........(1)

Twice the second number is 16 less than 5 times the first means :

2y = 5x - 16.......(2)

Substitute x equals from the first equation in the second equation.

2y = 5(y - 4) - 16

2y = 5y - 20 - 16

-3y = -36

y = 12

Now use the first equation for find x.

x = y - 4

x = 12 - 4

x = 8

Thus, The numbers are 8 and 12.

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What is the slope of a line that is perpendicular to a line whose equation is 5y=10+2x ?

Answers

First change 5y = 10 + 2x into slope intercept form.
Slope-intercept form is y = mx + b.

5y = 2x + 10

y = 2/5x + 2

The slope in the equation is 2/5.
To find the perpendicular slope, find the negative reciprocal of 2/5.

2/5 → - 5/2

- 5/2 is the slope of the line perpendicular to 5y = 10 + 2x

Final answer:

The slope of a line perpendicular to the given line is -5/2.

Explanation:

The equation of the line given is 5y = 10 + 2x. To find the slope of this line, we need to rearrange the equation into the slope-intercept form, y = mx + b, where m represents the slope. Dividing both sides of the equation by 5, we get y = 2/5x + 2. Comparing this equation to the slope-intercept form, we can see that the slope is 2/5.

To find the slope of a line perpendicular to this line, we use the fact that the product of the slopes of two perpendicular lines is -1. Therefore, the slope of the perpendicular line is the negative reciprocal of the slope of the given line. The negative reciprocal of 2/5 is -5/2.

Therefore, the slope of a line that is perpendicular to the line with the equation 5y = 10 + 2x is -5/2.

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