Fiona leaves $1600 in the bank for four years. It earns compound interest of 4% each year. Calculate the total amount Fiona has in the bank at the end of the four years

Answers

Answer 1

Answer:

A = $1,871.77

Step-by-step explanation:

A = P(1 + r/n)nt

Where,

A = Total money in the bank

P = principal = $1,600

r = interest rate = 4% = 0.04

n = number of periods = 1 year

t = time = 4 years

A = P(1 + r/n)^nt

A = 1,600(1 + 0.04/1)^1*4

A = 1,600(1 + 0.04)^4

= 1600(1.04)^4

= 1600(1.16985856)

= 1,871.773696

Approximately,

A = $1,871.77


Related Questions

did I choose the correct graph for the leading coefficient of -1/8?

Answers

Answer:

The correct graph is the second. The coefficient -1/8 indicates that the curve opens down.

One year, the population of a city was 99,000. Several years later it was 82,170. Find the percent decrease.

Answers

82170/99000=0.83
1-0.83=0.17
answer is 17%

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Evaluate the equation y=2x2 - 2x + 7 for x=-3

Answers

Answer:

31

Step-by-step explanation:

y=2x^2 - 2x + 7

Let x= -3

y=2(-3)^2 - 2(-3) + 7

 =2 (9) +6 +7

 = 18 +6+7

 = 31

Problem:

Evaluate the equation:

[tex]\tt{y = 2 {x}^{2} } - 2x + 7 \: ,when \: x \: = \: - 3[/tex]

Let's try!

[tex]\quad \quad \quad \quad \tt{y = 2 {x}^{2} } - 2x + 7[/tex]

[tex]\quad \quad \quad \quad \tt{y = 2 {( - 3)}^{2} } - 2( - 3)+ 7[/tex]

[tex]\quad \quad \quad \quad \tt{y = 2(9) +6 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 18 +6 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 24 + 7}[/tex]

[tex]\quad \quad \quad \quad \tt{y = 31}[/tex]

Hence, the answer is:

[tex]\quad \quad \quad \quad \boxed{\tt{\color{green}y = 31}}[/tex]

_______

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PLEASE PLEASE ANSWER ASAP THIS IS DUE TODAY AT 12:00 P.M.!!!!!!!
What is the median of the data set represented by the dot plot? Enter the answer in the box.

Answers

Answer:

5

Step-by-step explanation:

bc look at each end of the plot cross out each dot for each side and it should leave you to the last Colum aka 5

Answer:

The median is 5.

Step-by-step explanation:

First we need to take the data and make it into a set :

3, 3, 4, 5, 5, 5, 6, 8, 8.

These numbers are already in order, so now we find the median. The median is the number in the exact middle of the set. The number in the middle of the set is 5, so that is the median.

A group of 42 monkeys meet in the forest for a swinging competition. The monkeys divide into teams with 8 monkeys on each team. They make as many teams as they can, but not every monkey is in a team. How many teams of monkeys will there be? Answer must be a whole number. How many monkeys remain without a team? Answer must be a whole number.

Answers

Answer:

the a answer is five

Step-by-step explanation:

divide 42 by 8 and round it it up to the closest whole number

The equation (x-7)^2 + (y - 6)^2 = 36 represents a Ferris wheel plan displayed on a grid, where each unit represents 1 meter. What is the diameter of the Ferris Wheel? ​

Answers

Answer:

[tex]12m[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \displaystyle (x - 7 {)}^{2} + (y - 6 {)}^{2} = 36[/tex]

since it's a circle equation where 36 is the square of the redious we can figure out redious by solving the following equation

[tex] \displaystyle {r}^{2} = 36[/tex]

square root both sides:

[tex] \displaystyle {r}^{} = 6[/tex]

remember that,

[tex]\displaystyle d = 2r[/tex]

thus substitute the value of r:

[tex]\displaystyle d = 2.6[/tex]

simplify multiplication:

[tex]\displaystyle d = 12[/tex]

hence,

the diameter of the Ferris Wheel is 12m

On my other question I posted I forgot to add the attachment, but uh please help down below 3

Answers

Answer:

6 crayons more

Step-by-step explanation:

At Dante's party, each child gets 192/16 = 12 crayons each

At Maria's party, each child gets 234/13 = 18 crayons each.

Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.

Answer:

answer is 6

Step-by-step explanation:

each child at Dante's party receive 192÷ 16 crayons, which is 12

each child at Maria's party receive 234÷ 13 crayons, which is 18

POSSIBLE POIN
Based on records from the past several seasons the probability of the Madison Math Team winning a competition is p(win)-0.875
If they compete in 24 competitions, how many will they win?

Answers

Answer:

They will win 21 games

Step-by-step explanation:

Here, we want to get the number of possible wins

From the question, we have it that the probability that the team will win is 0.875

Now, out of the 24 games, we simply have to multiply their winning probability by the number of games

We have this as;

0.875 * 24 = 21

Hence, out of the 24, 21 will result in a win

2x+3y=15
X+y=6
Simultaneously equations

Answers

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x6-x/4y

Answers

Answer:

[tex]{ \tt{ {x}^{6} - \frac{x}{4y} }} \\ = { \tt{ {( - 4)}^{6} - \frac{ - 4}{4(4)} }} \\ \\ { \tt{ = 4096 + 4}} \\ \\ = 4100[/tex]

The value of the equation ( x⁶ - x ) / 4y = 1025/4 when x = -4 and y = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( x⁶ - x ) / 4y   be equation (1)

The value of x = -4

The value of y = 4

Substituting the values of x and y in equation (1) , we get

A = ( ( -4 )⁶ - ( -4 ) ) / ( 4 x 4 )

On simplifying the equation , we get

A = ( 4096 + 4 ) / 16

A = 4100 / 16

A = 1025 / 4

Therefore , the value of A is 1025/4

Hence , the value of the equation is 1025/4

To learn more about equations click :

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Solve simultaneous equation x-y=4 and x²+y²=10​

Answers

Step-by-step explanation:

hear is your answer please check attachment

PLEASE HELP IM LITERALLY BEGGING YOU

Amanda pays $115.00 for shoes
that are 20% off at Everything Shoes.
At Best Footwear, the same shoes
are 15% off, which makes them cost
$7.00 less than their pre-sale price at
Everything Shoes.
What was the original cost for the
shoes at Best Footwear?

Answers

Answer:

Step-by-step explanation:

Everything Shoes:

E * 0.8 = 115

E = 115/.8 = $143.75

~~~~~~~~~~~~~~~~

B * 0.15 = 7

B = 7/.15

B = $46.67

URGENT PLEASE HELP: Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.


h(x) = 0

h(x) = -3^2x

h(x) = 2(3^2x)

h(x) = 3^x(2 - 3^x)

Answers

Answer:

im pretty sure the correct answer is A. 0

Step-by-step explanation:

0dysseyware

Express the fraction as the sum of two or more fractions with simpler denominators
4/(x-1)(x^2+1)

Answers

Photo math will help

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.
• What score does Tyrone need in the fifth game so that his mean score is 125?
• Explain your reasoning or show all of your work.

Answers

Answer:

He should measure the length of the bowling alley using meters

Step-by-step explanation:

The score does Tyrone need in the fifth game so that his mean score is 125 is 168.

What is an arithmetic mean?

It is defined as the sum of all observations divided by the number of observations.

Given

Tyrone's bowling scores for the first four games of the season were 120,123,105, and 109. He wants to increase his mean score to 125.

[tex]\frac{120+123+105+109+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{4+1} =125[/tex]

⇒ [tex]\frac{457+x}{5} =125[/tex]

⇒ [tex]{457+x} =125[/tex] × [tex]5[/tex]

⇒ [tex]{457+x} =625[/tex]

⇒ [tex]x =625-457[/tex]

⇒ [tex]x =168[/tex]

Hence, the score does Tyrone need in the fifth game so that his mean score is 125 is 168.

Learn more about mean here

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Please help me.

The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?

Answers

Answer:

Step-by-step explanation:

I can tell you how to do this on your calculator, but I have no idea what kind of calculator you have and the methods are different for the various TI graphing calculators, so I'll just tell you that your answer is the last choice given. It's a terrible fit, but if the instructions say linear, the last choice is the equation that the calculator gives.

The regression equation for Y is: ŷ = -0.223X + 20.523

What is Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Sum of X = 15

Sum of Y = 99.27

Mean X = 3

Mean Y = 19.854

The sum of squares (SSX) = 10

The sum of products (SP) = -2.23

Regression Equation = ŷ = bX + a

b = SP/SSₓ = -2.23/10 = -0.223

a = My - bMₓ = 19.85 - (-0.22*3) = 20.523

ŷ = -0.223X + 20.523

Learn more about Linear equations here:

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Write the log equation as an exponential equation. You do not need to solve for x:

log(x^2+5x-18)=x+2

Answers

Answer: 10ˣ⁺² = x² + 5x - 18

Step-by-step explanation: The base of the log becomes the base of the power, the right side of the equation becomes the exponent, and the result in the original equation moves to the other side.

Notice that we aren't given a base, so we know that we are

dealing with a common log which has a base of 10.

Work out the perimeter of this semicircle.
Take a to be 3.142
10 cm

Answers

Answer:

perimeter=1/2*2πr

Step-by-step explanation:

1/2*2*3.142*10

=31.42

The base salary of 500$ per week plus a commission of 10.5% of sales

Answers

Answer:

salary = $ 500 + 0.105 sales

Step-by-step explanation:

Weekly Income = 500 + 0.105S   where S= weekly sales

in x, y math format that's

y=500+0.105x

Economics often uses Q for quantity and Y for income

so,

Y=500+0.105Q

Hope this answer helps you :)

Have a great day

Mark brainliest

1. Write and solve an inequality that represents the number of months the center could

rent games from NetGames with its $175. Explain the solution in terms of the problem.

Answers

Solution :

Given that the Centre is signing up for a rental game service online rather than buying the game.

The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.

Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :

175 - 8m ≥ 99

175 - 8m - 99 ≥ 99 - 99    (Subtracting 99 from both side of the inequality)

76 - 8m ≥ 0      (Simplify)

76 - 8m -76 ≥ 0 - 76      (Subtracting 76 from both side of the inequality)

- 8m ≥  - 76 (Simplify)

 8m ≥   76   (removing the minus sign form both sides)

 [tex]$\frac{8m}{8} \geq\frac{76}{8}$[/tex]     (Divide each side of the inequality by 8)

 m  ≥ 9.5

Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3

Answers

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

what is the smallest perimeter of area 12 cm can have?


edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.​

Answers

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

subtract 5x-7y+6 from 3x-4y-2​

Answers

Answer:

[tex]2x−3y+8[/tex]

Step-by-step explanation:

[tex](5x−7y+6)−(3x−4y−2)[/tex]

[tex]5x−7y+6−(3x)−(−4y)−−2[/tex]

[tex]5x−7y+6−3x+4y+2[/tex]

[tex]2x−7y+6+4y+2[/tex]

[tex]2x−3y+6+2[/tex]

[tex]2x−3y+8[/tex]

Hope it is helpful...

"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol

Answers

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45

Find the surface area of a cone with volume 320pi and height 15 (hint: don't use the height in
the surface area formula.

Answer key :
Either 200 pi or 325 pi
Please help !!!

Answers

Answer:

200π

Step-by-step explanation:

Surface area of a cone  = πr(r+l)

r is the radius

l is the slant height

Volume of the cone = 1/3πr²h

320π = 1/3πr²h

320 = 1/3r²(15)

320 = 5r²

r² = 320/5

r² = 64

r = 8

l² = 15² + 8²

l² = 225 + 64

l² = 289

l = 17

Get the surface area;

S =  πr(r+l)

S =  π8(8+17)

S = π*8*25

S = 200π

Hence the surface area of the cone is 200π

what number does the 9 have least vaule

Answers

Answer:

The least value is 7.079 because it is in the thousandths place.

Is anyone good at Spanish ? I need help with Spanish homework. I’ll mark you brainliest

Answers

Answer:

...

Step-by-step explanation:

what help do you need ??

What is the question you need help with

Select all the equations
represented by this tape diagram.

A. 6 + 6 + 6 + 6 + 6 = ?
B. 5 + 6 = ?
C. ? = 6.5
D. ? = 6.6.6.6.6
E. ? = 5 = 6
F.5 = ?= 6

Answers

Answer:

D.

is the correct answer

Find an equation for the graph shown.

Answers

Answer:

y=-sin(x)

Step-by-step explanation:

y=-sin(x)

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