Gabe deposits $2,500 into each of two savings accounts.

Account ONE earns 4% annual simple interest.
Account TWO earns 4.5% interest compounded annually.
What is the sum of the balances of Accounts ONE and TWO at the end of 3 years?

Answers

Answer 1

Answer:

637.5 I think it's right

Step-by-step explanation:

2,500x.04=100x3=300

2,500x.045=112.5x3=337.5

300+337.5=637.5 interest

2,500x2+637.5=5,637.5

Answer 2

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to A = P (1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have:

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

substitute in the formula above

A = 2,500 (1 + 0.04 * 3)

A = 2,500 (1.12)

A = $2,800

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to: A = P (1 + r/n)nt

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

n = 1

substitute in the formula above  

A = 2,500 * (1 + 0.04/1)3

A = 2,500 * (1.04)3

A = $2,812.16

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment:

$2,800 + $2,812.16 = $5,612.16


Related Questions

The side lengths of a triangle are 5, 8, and 12. Is this a right triangle?
O A. No, because 52 + 32 + 122.
OB. No, because 5+ 8 + 12.
C. Yes, because 52 + 82 = 122.
O D. Yes, because 52 + 82 < 122

Answers

Answer:

A) No...

Step-by-step explanation:

We can check if this triangle is a right triangle by using the Pythagorean Theorem.

a² + b² = c² where a and b are the legs of the right triangle, and c is the hypotenuse (longest side)

Using 5 for a, 8 for b, and 12 for c, let's see if this satisfies the equation:

5² + 8² = 12²

Simplify.

25 + 64 = 144 89 = 144

We can see that 89 ≠ 144, so this leaves us with answer choices A and B. I think you meant to write < for the last + sign.

Seeing as the sum of the two lengths of the triangle is greater than the third side length, this creates a normal triangle. This cannot be the correct answer choice since this only satisfies the requirements for a triangle, but not a right triangle.

This leaves us with answer choice A.  52 + 32 ≠ 122 and 52 + 32 < 122. (I'm not sure why the squares of the side lengths are not used, but this should be the correct answer.)

Sally made 17 bundles of 10 straws. How many straws did she made in all?

Answers

Answer:

170 straws

Step-by-step explanation:

10x17 is 170, so she made 170 straws

Answer:

The answer is 70 because 17x10=170

2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours

Answers

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

An animal shelter provides a bowl with 1.25 liters of water for 5 cats.


About how much water will be left after the cats drink their average daily amount of water?


Water Consumption

Animal Average Amount

(Liters per day)

Canada Goose 0.24

Cat 0.15

Mink 0.10

Opossum 0.30

Bald Eagle 0.16



liter(s) of water will be left after the cats drink their average daily amount of water.

Answers

Answer:

.50 left

Step-by-step explanation:

You have to multiply .15 times 5, then get that and subtract that number by 1.25, but do not worry about the decimal just add that in later, and the answer is .50

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

what ratio language to describe the relationship of any two things you can think of

Answers

Answer:

The recipe called for 3 cups of flour and 4 cups of sugar. That means there are 3/4 cups of flour for each cup of sugar.

She drove 60 miles in 3hrs. This means she drove 60/3 = 20 miles per hr.

Step-by-step explanation:

Find the solution of the system of equations shown on the graph​

Answers

Answer:

(-2, 4)

Step-by-step explanation:

The solution to the systems of equations shown on the graph is the point at which the lines of both equations intersect each other.

The solution is (-2, 4). That is, for both lines, when x = -2, y = 4.

Which is the correct answer? and how can you find the answer

Answers

Answer:

?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

-10/2=-5-7=-12

-8/2=-4-7=-11

Braniliest?

Evaluate -x+23y if x=9 and y=2

Answers

Answer:

The answer is 37

I will give a brainliest for if you give me answers

Answers

Answer: When graphing start at (0,6). (1, 8) (3,12) (5,16) The total cost for 7 rides is $20.

Step-by-step explanation:

Answer:

the total cost for 7 rides is $14 plus how much it is to get in the fair is $6 so the total cost to get in and do 7 rides is $20 but the total cost for 7 rides is $14

Step-by-step explanation:

Answer is $14 for 7 rides

PLZ GIVE BRAINLIEST

Hey, can someone help me with this question?

Answers

Step-by-step explanation:

A = P(1 + r)^t

£5263.73 = £4000(1 + 0.01x)^7

(1 + 0.01x)^7 = 1.3159325

1 + 0.01x = 1.04

0.01x = 0.04

x = 4.

The value of x is 4.


In the isosceles trapezoid shown, GJ = 5 and Hi = 9. Determine the length of the
midsegment of the trapezoid.
A) 9
B) 7
C) 5
D)14

Answers

Answer:

The answer to the question provided is 7.

Answer:

b

Step-by-step explanation:

algebra 2!! please help im begging. i don’t understand this at all. thank you!

Answers

Answer:

Step-by-step explanation:

so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6

Please answer !!
12x - 18y + 24

Answers

6 (2x + 3y-4z)

Step by step explanation:

6 (2x + 3y-4z)

im prob wrong-

Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?

Answers

Answer:

5.50x = 6,850

Step-by-step explanation:

Each ticket costs $5.50, and the total is $6,850.

Hope this helps! :)

Megan is taking the bus from New York City to Montreal. The distance is 380 miles and the bus travels at a steady rate of 76 miles per hour. How long will the bus ride be?

Answers

Answer: 5 hours

Step-by-step explanation: 380/76

The bus will take 5 hours to reach Montreal from New York.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Distance between Montreal to New York = 380 miles

Speed of bus = 76 miles per hour

76 miles ⇒ 1 hour

1 mile ⇒ 1/76  hour

Multiply by 380 on both sides

380 miles ⇒ 380/76 hours = 5 hours.

Hence "The bus will take 5 hours to reach Montreal from New York".

For more information about ratio and proportion,

brainly.com/question/26974513

#SPJ2

How do I work this out

Answers

Answer:

37

Step-by-step explanation:

all angles on a straight line add up to 180.

180-144=36.

180-73=106

106+36=142.

180-142 is 37

hope this helps!

Why is the boundary line for aninequality involving ng dashed rather than solid?

Answers

When the inequality is “less than or equal to” or “greater than or equal to” it is shown by a solid line. When the inequality is “less than” or “greater than” it is shown by a dotted/dashed line.

Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzones can be made if a mega calzone contains 3 different toppings and 3 different cheeses

Answers

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Find the slope of the line that passes through each pair of points. (8, 10) and (-7, 14)​

Answers

Answer: -4/15

Step-by-step explanation:

The equation of a slope is: [tex]y_{1} - y_{2}/x_{1} - x_{2}[/tex]

You can basically use the y and x values of the both of these equations interchangeably (10-14) or (14-10)  and you can get the same answer. However, the order you put in the y values, the x values must follow (if you do (14-10) for the y portion, then the x portion has to be (-7-8))

You just plug in the y values on the top, the x values on the bottom and solve!

1) Plug in your values (10-(14)/8-(-7))

2) Open up your parentheses (10-14/8+7)

3) Solve -4/15

These problems are mostly plugging in stuff so if you know the equation by heart, it becomes super easy :D

how do you find the quadratic equation to a graph like this

Answers

Answer:

b²-4ac=0

Step-by-step explanation:

x=-b+0/2a

so,x=-b/2a


What is the congruence method you will use to show that the triangles are congruent?

A) SSS
B) SAS
C) ASA
D) AAS

Answers

The answer would be SSS or Side-Side-Side.
A. SSS because congruent means all sides are the same

what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters

Answers

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

what is the solution set represented by this number line graph​

Answers

Answer:

x ≥ 2

Step-by-step explanation:

The dot is shaded on the point positive 2 and the arrow is going right so its x ≥ 2.

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

Which of the following are terms in this expression? Select all that apply.
2+8c+d+b

HELPPPPPP I HAVE 20 MINUTES LEFT

Answers

Answer:

2, 8, c, b, d

Step-by-step explanation:

Terms are any numbers or variables that represent numbers. In other words, 2, 8, c, d, and b are all the terms of this expression.

10(2+ x + 3) simplify the expression

Answers

The simplified equation is 10x + 20


A math test has 60 possible points. What percent correct is 52 point

Answers

Answer: If you got a 52/60, then your percent would be a 86%. which would be a B

Step-by-step explanation:

Answer:

The grade would be 87%. You would have a B+ (or a B depending on if your school does not use pluses and minuses for grades)

Step-by-step explanation:

52/60 =  87%

18.) Which expression is equivalent to -6x + 7.5?
A. -3(2x - 2.5) B. -3(2x + 2.5) C. -3(2x - 7.5)
D.-3(2x + 7.5)

Answers

Answer:

D

hope this helped:)

Help me. I'm really confused!

Answers

Answer:

Step-by-step explanation:

Remember, the first point in a bracket like this (6, 1) is the x coordinate. Here, 6 is your x coordinate. So, if we actually had the line (which we don't have right now, it would be lined up with the number 6 on the x axis. And the second point, 1 here, is the y coordinate. Which tells you where this point falls on the y axis. it would be lined up with the number 1 on the y axis. First, let's work on the parts where you are listing the points. it seems to give you the x coordinate 2 on the first one. So on the x axis which is the horizontal line that says Number of Books Sold, go to the number 2. Then y upward with your mouse and the first point that appears with the x coordinate of 2 (it's the 2nd point if you start from the bottom of the line and go up) has the y coordinate of 20 because if you use your mouse to go left on the same gray line that point is on, you will hit 20 on the line that says Total Amount Payed (this is your y axis). Now, on the next point it just gives you the y coordinate, 40. Which means that it should be on the grey line that hits the number 40 on the Total Amount Payed line (your y axis). So if you find that point and go down with your mouse on the gray line right under it, you should hit 4. So that point is  (4, 40). 6 is not labeled but it is the gray line after the 5 on the x axis. If you go up 6, you hit the to right corner of the graph and if you trace it to the y-axis, it's not labeled but it should be 60 because if you pay attention, the numbers on the y-axis are going up by 10s. The x coordinate represents The Number of Books Sold because it says that under the x axis. The y coordinate represents the Total Amount Payed (dollars). ordered pairs are like ratios because they are both pairs. Ordered pairs tell you how much to go up, down, forwards, and backwards on a coordinate plane while ratios tell you a proportion. I am including a picture to help you out. I hope this made sense and was helpful!

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