What is the future value of a $1,500 investment, earning 10 percent interest
per period, after two periods? (Round your answer to the nearest cent.)

Answers

Answer 1
For 1 period
A=P(1+rt)
A=1500(1+(1*.1))
A=$1650
For 2 periods
A=$1800
The amount of interest earned each time is $150.  
Answer 2
The formula of compound interest is
A=p (1+r)^t
A future value?
P present value 1500
R interest rate 0.1
T two periods 2
A=1,500×(1+0.1)^(2)=> A=1,815

Related Questions

Jim drove 204 miles in 4 hours. If he can keep the same pace how long will it take him to drive 918 miles

Answers

18 hours.

Proportions and stuff.

[tex] \frac{204}{4} [/tex] = [tex] \frac{918}{x} [/tex]

Cross multiply,

204x = 918 * 4

204x = 3672
/204      /204
x = 18

18 hours.

a garden table and a bench cost 817 dollars combined. The garden table costs 83 less than the bench. what is the cost of the bench

Answers

table=t
bench=b


t=b-83

t+b=817
b-83+b=817
2b=900
b=450 ($)



"Non nobis, Domine, non nobis, sed Nomini tuo da gloriam."



Regards M.Y.

A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for football or baseball. Out of the total 77 people who liked football, 48 also liked baseball. There were 65 people who liked baseball. Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points) Like football Do not like football Total Like baseball A D G Do not like baseball B E H Total C F I Part B: What percentage of the survey respondents did not like either football or baseball? (3 points) Part C: Do the survey results reveal a greater dislike for football or baseball? Justify your answer. (2 points)

Answers

PART A:

Total of students who like football = 77 students
Students who like football and baseball = 48 students
Students who like football and not baseball = 77 - 48 = 29 students

Students who do not like football = 100 - 77 = 23 students

Students who like baseball = 65 students
Students who like baseball but not football = 65 - 48 = 17 students

Students who do not like baseball = 100 - 65 = 35 students

These data can be represented in a two ways table as shown below

PART B:

The number of students who do not like either football or baseball is 29+17+6=52

The probability is 52/100 = 52%

PART C:

The number of students who don't like football is  17+6=23 students
The number of students who don't like baseball is 35 students

The survey result reveals a greater dislike for baseball

WILL GIVE BRAINLIEST...
You have 45 ft of the fence you enclose your yard, you are going to use the side of your house as one of the sides and put a fence down the width of the yard so your dog as a place to play, the length is three less than the width. What is the area of your yard?

Answers

We have 45 ft of the fence and we are going to use the side of the house as one of the sides ( on length ).
L = W - 3
2 W + L = 45
2 W + W - 3 = 45
3 W = 45 + 3
3 W = 48
W = 48 : 3
W = 16 ft
L = 16 - 3 = 13 ft
A = 16 * 13 = 208 ft²
Answer: The area of the yard is 208 ft².

Which of the following is closest to 27.8 times 9.6? A. 280. B 300. C 2,800. D 3,000

Answers

A 280. you really couldn't use a calculator?
The answer would be A because multiplying the 2 numbers give you 266.88

$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earned at the end of one year? Show all work for full credit.

Answers

hmm is very straight forward, how much is whatever% of anything? is just (whatever/100) * anything.

[tex]\bf \textit{4\% of 2,500}\implies \cfrac{4}{100}\cdot 2,500\implies 100 \\\\\\ \textit{the rest is 7,500 at 5\%, what's 5\% of that?}\implies \cfrac{5}{100}\cdot 7,500\implies 375[/tex]

If the measure of angle A is 40* and the length of side b is 15 inches, which can be the length of side a if it is possible to form two triangles

Answers

Because ∠A=40°, therefore ∠B + ∠C = 180.

To create two triangles, we could make a = 10 in.

From the Law of Sines,
a/sinA = b/sinB.
 
Therefore
10/sin(40) = 15/sin(B)
sin(B) = (15/10)*sin(40) = 0.9642
∠B = arcsin(0.9642) = 74.6°

Because the sine function is positive in quadrants 1 and 2, we could also have ∠B = 180 - 74.6 = 105.4°.
This means that
a/sin(105.4) = 15/sin(40°)
a = [sin(105.4)/sin(40)]*15 = 22.5 in

Answer:
We could have a = 10 in, or a = 22.5 in

A boat takes 4 hours to go 20 miles upstream.It can go 32 miles downstream in same time.Find the rate of the current and the rate of the boat in still water.

Answers

recall your d = rt, distance = rate * time.

now, if the boat has a speed of say "b", and the current has a speed of say "c", when the boat is going upstream, is not really going "b" fast, is going " b - c " fast, because the current is eroding speed from it, going upwards.

And when the boat is going downstream, is not going "b" fast either, because the current is now adding to speed to it, so is really going " b + c " fast.

The time it took one way, is the same time it took back, 4 hours each way.

thus

[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{t}\\ &------&------&------\\ Upstream&20&b-c&4\\ Downstream&32&b+c&4 \end{array} \\\\\\ \begin{cases} 20=4(b-c)\implies \frac{20}{4}=b-c\implies 5+c=\boxed{b}\\ 32=4(b+c)\implies \frac{32}{4}=b+c\implies 8=b+c\\ --------------------\\ 8=\left(\boxed{5+c} \right)+c \end{cases} \\\\\\ 8=5+2c\implies 3=2c\implies \cfrac{3}{2}=c\implies 1\frac{1}{2}=c[/tex]

what's the speed of the boat?  well, 5 + c = b.

Ignoring color, what kind of symmetry does the pinwheel have? A. rotational symmetry B. line symmetry C. both rotational and line symmetry D. neither

Answers

the answer is a because there isn't any line of symmetry

The casino la bella fortuna is for sale and you think you might want to buy it, but you wantto know how much money you are going to make. all the present owner can tell you is thatthe roulette game red or black is played about 1000 times a night, 365 days a year. eachtime it is played you have probability 19/37 of winning the player’s bet of $10 and probability18/37 of having to pay the player $10.

Answers

Expected gain per player per game 
10*(19/37)-10*(18/37)=0.27027
Expected gain per player per night (1000 games per night)
=1000*0.27027
=270.27
Expected gain per player per year  (365 nights per year)
=270.27*365
=98648.65

Revenue is 98648.65 times the average number of players per game.

Final answer:

The expected value of the roulette game red or black is -$0.62 per game, indicating an expected average loss.

Explanation:

The expected value of the roulette game red or black can be calculated by multiplying the probabilities of winning and losing by their corresponding outcomes. In this case, the probability of winning ($10) is 19/37, and the probability of losing ($-10) is 18/37. Multiply these probabilities by their corresponding outcomes and subtract to get the expected value:

Expected value = (19/37 * $10) + (18/37 * -$10) = -$0.54 + (-$0.54) = -$0.62

This means that if you play this game repeatedly, over a long string of games, you would expect to lose an average of 62 cents per game.

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An object is dropped off a building that us 144 feet tall. After how many seconds does the object hit the ground? (s= 16t^2)

Answers

Given 
s=16t^2 
where
s=distance in feet travelled (downwards) since airborne with zero vertical velocity and zero air-resistance
t=time in seconds after release

Here we're given
s=144 feet
=>
s=144=16t^2 
=> 
t^2=144/16=9
so
t=3
Ans. after 3 seconds, the object hits the ground 144 ft. below.

Answer:

After 3 seconds the object hit the ground.

Step-by-step explanation:

An object is dropped off a building that us 144 feet tall. After how many seconds does the object hit the ground.

Given that displacement, s = 16t²

To reach ground displacement should be 144 feet.

That is

            s = 16t² = 144

                      t² = 9

                       t = 3 seconds.

After 3 seconds the object hit the ground.

A journal entry for the sale of $10 par common stock for $18 per share would include
a. a credit to Cash
b. a debit to common stock
c. a credit to Paid in Capital in Excess of Par-Common Stock
d. a debit to Paid in Capital n Excess of Par-Common Stock

Answers

credit to paid in capital in excess of par-common stock. the word stock in the question instantly removes a and b there is no debit so c or d but i would go with c. just cause d is missing an i in one of its 'in'

Text me the answer please

Answers

p(4)= 1/8

This is because there are 8 equal parts and 4 is just one of those 8 parts.
probablility=desired outcomes/total possible outcomes

so

we want to hit the 4

there are 1 of those numbers on the spinner
and 8 numbers total

1 desired outcome
8 total possible outcomes

1/8 is the probablitiy
?=8

A = h/2 * (a + b ); for h

Answers

[tex]A=\dfrac{h}{2}(a+b)\\ 2A=h(a+b)\\ h=\dfrac{2A}{a+b} [/tex]
h/2 * (a + b )=A
h/2=A/(a+b)
h=2A/(a+b)

8.76× 10 6  is  times  than 8.76× 10 2 .

Answers

10^6 = 10 *10*10*10*10*10 = 1,000,000

10^2 = 10*10 = 100

1000000/100 = 10,000 times larger

The scatter plot below shows the relationship between the length (x) in meters and mass f(x) in kg of a marine animal
(1,0)(2,10)(3,20)(4,30)(5,40)(6,50)(7,65)(8,70)(9,80)(10,90)

Which of the following fuction is best represented by the scatter plot?
F(x)=9-10.3x
F(x)=-10.3+9x
F(x)=-9+10.3x
F(x)=10.3-9x

Answers

F(x) = -9 + 10.3x probably.
It's definitely not the first or last option as they have negative gradients (i.e. negative x-coefficient) and so represent a negative correlation. The data given tells us there is a positive gradient and so a positive correlation.
It could be the second option as the second and third are not so vastly different but I would go for the third because it appears to most closely fit the data pattern.

Answer:

F(x)=-9+10.3x

Step-by-step explanation:

Given:

(1,0)

(2,10)

(3,20)

(4,30)

(5,40)

(6,50)

(7,65)

(8,70)

(9,80)

(10,90)

F(x)=9-10.3x and F(x)=10.3-9x cannot be the function of given scatter plot since the slope in these functions are negative

So, The equation of line can be F(x)=-10.3+9x or F(x)=-9+10.3x

Refer the attached figure.

Using desmos calculator

We conclude that the function is best represented by the scatter plot is [tex]F(x)=-9+10.3x[/tex]

a rectangle has a width of 17 ft and a lenghth of 8ft....PLEASE HELP ME SOS!!! ASAP!!!

Answers

perimeter is 17 +17 +8 + 8 = 50 feet

area = 17 x 8 = 136 square feet

cost = 136 x $3.50 = $476.00

Two people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to match the ratio of currency to currency in each category.

Answers

Answer:

The solution is shown in attached figure.

Step-by-step explanation:

In table 1,

US currency (Dollars)               Foreign currency

            50.00                               31.50

The foreign currency per US dollar is

[tex]\frac{31.50}{50}=0.63[/tex]

Therefore 0.63 is not equal to the exchange rate of Mexican peso and euro.

In table 2,

US currency (Dollars)               Foreign currency

            20.00                               14.60

The foreign currency per US dollar is

[tex]\frac{14.60}{20}=0.73[/tex]

Therefore 0.73 is equal to the exchange rate of euro.

In table 3,

US currency (Dollars)               Foreign currency

            25.00                               18.25

The foreign currency per US dollar is

[tex]\frac{18.25}{25}=0.73[/tex]

Therefore 0.73 is equal to the exchange rate of euro.

In table 4,

US currency (Dollars)               Foreign currency

            40.00                               724.80

The foreign currency per US dollar is

[tex]\frac{724.80}{40}=18.12[/tex]

Therefore 18.12 is equal to the exchange rate of Mexican peso.

In table 5,

US currency (Dollars)               Foreign currency

            15.00                               271.80

The foreign currency per US dollar is

[tex]\frac{271.80}{15}=18.12[/tex]

Therefore 18.12 is equal to the exchange rate of Mexican peso.

G study find the exact value of each of the remaining trigonometric functions cos theta=4/5 270< theta

Answers

This will be a 4th quadrant 3,4,5 triangle.
Sin = -3/5
Tan = -3/4
Final answer:

Given that cos theta is 4/5 within the 270 to 360-degree range, sin(theta) is -3/5, tan(theta) is -3/4, sec(theta) is 5/4, csc(theta) is -5/3, and cot(theta) is -4/3.

Explanation:

The question indicates that we are dealing with trigonometry and specifically asks for the remaining trigonometric functions given that cos theta = 4/5 and theta is in the range of 270o to 360o.

This implies that theta is in the fourth quadrant where cosine is positive, and the other trigonometric functions can have different signs.

Since we have the cosine of theta, we can use the Pythagorean identity to find the sine of theta. The identity states that in2(theta) + cos2(theta) = 1.

Plugging in the given cosine value, we have:

sin2(theta) + (4/5)2 = 1
sin2(theta) = 1 - 16/25
sin2(theta) = 9/25
sin(theta) = ±√(9/25) = ±3/5

However, since theta is in the fourth quadrant, the sine is negative, and therefore we find:

sin(theta) = -3/5

For the tangent of theta, we use the definition tan(theta) = sin(theta)/cos(theta), which yields:

tan(theta) = (-3/5) / (4/5) = -3/4

The values of the other three trigonometric functions (secant, cosecant, and cotangent) are the reciprocals of the three we just calculated:

sec(theta) = 1/cos(theta) = 5/4
csc(theta) = 1/sin(theta) = -5/3
cot(theta) = 1/tan(theta) = -4/3

find the volume of a sphere with a diameter of 25 cm. approximate pi as 3.14 and round your answer to the nearest hundredth

Answers

4/3[tex] \pi [/tex]r^3 is the forumla, and r = d/2, so 25/2 = 12.5 so r = 12.5 cm

4/3*[tex] \pi [/tex]*(12.5)^3 = 4/3*[tex] \pi [/tex]*1953.125 = 4/3 * 6132.8125 = 
8177.08 cm

Branliest Please!
The formula for the volume of a sphere is:

V=4/3πr³

The diameter given is 25 cm, so that means the radius is 12.5 cm.

Now you just need to plug in the numbers and you will have:

V=(4/3)(3.14)(12.5)³

After plugging that all in the calculator, you should get the answer:

V=8,177.083333 cm³, which rounds to 8,177.08 cm³

I hope this helps!

How do you interpret algebraic expressions in terms of their context

Answers

Algebraic expressions are composed of numbers and variables. To interpret them, you must have the word problem to provide you with some context. The variables signify parameters that are maybe unknown in the problem. Although unknown, they can have relationships with each other. The relationships are expressed in algebraic equations.

(03.03 HC)

The table shows the outputs, y, for different inputs, x:

Input (x) 6 12 15 25
Output (y) 14 15 15 16



Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Part B: Compare the data in the table with the relation f(x) = 7x − 15. Which relation has a greater value when x = 6? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 6? (5 points)

Answers

part A the table does not show function because 15 is repeated which is a relationship.

Kurt wants to have $25,000 in an investment account four years from now. the account will pay 0.2 percent interest per month. if he saves money every month, starting one month from now, how much will he have to save each month to reach his goal

Answers

Given:
F = 25000, future value
i=0.02 per month, compounded monthly
n=4*12=48 periods (months)
Need A=monthly deposit

The amount A is given by the formula
A=Fi/((1+i)^n-1)  [can be derived from the annuity formula]
=25000*0.02/((1.02^48-1)
= 315.05

Answer: Kurt will need to save $315.05 each month to reach the goal of saving $25000 after 4 years.

Kurt will have to save an amount of $496.75 each month.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Final amount of the account, A = $25,000

Interest rate, r = 0.2% = 0.002

Number of years, t = 4 years

Interest compounded monthly, so n = 12

Annuity can be found using the formula,

Annuity = 25,000 ÷ {[(1 + 0.002)^(12×4) - 1] / 0.002}

             = 25,000 ÷ {[(1.002)⁴⁸ - 1] / 0.002}

             = 496.75

Hence the amount Kurt needs to save each month is $496.75.

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A bag contains 40 marbles, 4 of which are blue, 10 are red, 25 are green, and 1 is purple. Shawna takes a marble out of the bag, records the color, and returns it to the bag. How many green marbles should she expect after 400 trials? (5 points)

Answers

250.

Since she returns the marble every time, the probability of drawing a green marble remains constant, which is 25/40.

A certain species of tree grows an average of 4.2 cm per week. write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.

Answers

Average growth rate = 4.2 cm/week.

So, common difference d = 4.2

The height of the tree a0 = 200 centimeters.

The height of the tree after end of the first  week a₁ = 200 + 4.2 = 200 + 4.2(1)

The height of the tree after end of the second  week  a₂ = 200 + 4.2 + 4.2 = 200 + 4.2(2).

The height of the tree after end of the third  week a3 = 200 + 4.2 + 4.2 + 4.2 = 200 + 4.2(3).

The height of the tree after the end of the nth week an =  200 + 4.2(n).

The equation is a_n = 200 + 4.2(n).

An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of rabbits is 5 less than one-half the number of cats, and there are 20 more cats than dogs, how many cats are at the shelter?

Answers

This is the concept of algebra, suppose that the number of cats is x;
number of cats will be x-20
number of rabbits will be 3/2x
thus the total number of animals will be:
x+(x-20)+3/2x=350
7/2x=350+20
7/2x=370
x=370*2/7
x=105.7=106
therefore we conclude that there we 106 cats in the shelter
Final answer:

To find the number of cats at the animal shelter, we can set up and solve a system of equations using the given information. In this case, the number of dogs is 126 and the number of cats is 146.

Explanation:

To solve this problem, let's assign variables to represent the number of cats, dogs, and rabbits at the shelter. Let's say the number of cats is 'c', the number of dogs is 'd', and the number of rabbits is 'r'.

From the given information, we can form three equations:

The total number of animals is 350: c + d + r = 350The number of rabbits is 5 less than one-half the number of cats: r = (1/2)c - 5There are 20 more cats than dogs: c = d + 20

Using these equations, we can solve for the value of 'c' (the number of cats).

By substituting the value of 'c' from equation 3 into equation 2, we get:

r = (1/2)(d + 20) - 5

Now, we substitute the values of 'c' and 'r' from equations 3 and 1 into equation 1:

(d + 20) + d + ((1/2)(d + 20) - 5) = 350

Simplifying this equation, we get:

2d + (1/2)d + 35 = 350

Combining like terms, we have:

4d + d + 70 = 700

Simplifying further, we find:

5d + 70 = 700

Subtracting 70 from both sides of the equation, we get:

5d = 630

Dividing both sides by 5, we find that d = 126. Therefore, there are 126 dogs at the shelter.

Finally, by substituting the value of d back into equation 3, we find:

c = 126 + 20 = 146. Thus, there are 146 cats at the shelter.

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Find the value of ab

Answers

ab= a*b

(1/12)*(1/6)= (1/72)

Final answer: 1/72

What is 18a and 12ab's GCF

Answers

Answer:

  6a

Step-by-step explanation:

18a = 2 · 3² · a

12ab = 2² · 3 · a · b

Factors common to both lists are 2, 3, a, so the GCF is 2·3·a = 6a.

The equation d=13/v shows that the density of a particular substance equals a mass of 13 grams divided by the volume of the substance. What happens to the density as the volume approaches 0?

Answers

d = M/V where M=mass and V = volume

Assume the Mass is 1 kg and the Volume = 1 cm³, so d= 1/1 kg/cm³

for V=0.1 → d = 1/0.1 = 10 kg.cm³
for V = 0.01 → d = 100.kg.cm³
for V = 0.001 → d = 1000.kg.cm³
for V = 0.000001 → d = 1,000,000.kg.cm³
and when Volume → 0. density →∞
.

Answer: the density approaches infinity

Step-by-step explanation:

Find a nonzero vector normal to the plane

Answers

Find a nonzero vector normal to the plane z - 3 (x - 1) = -3 (4 - y).
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