Gabriel invested $77,000 in an account paying an interest rate of 3 1/2% compounded monthly. Isabella invested $77,000 in an account paying an interest rate of 4 1/8% compounded quarterly. After 6 years, how much more money would Isabella have in her account than Gabriel, to the nearest dollar?

Answers

Answer 1

WE know, compound interest is given by :

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Here, P is principle amount.

r is annual interest rate.

n, number of times that interest is compounded per unit t .

t, time the money is invested or borrowed for.

To Find :

How much more money would Isabella have in her account than Gabriel, to the nearest dollar.

Solution :

[tex]D = P(1 + \frac{r_1}{n})^{nt}- P(1 + \frac{r_2}{n})^{nt}\\\\D = 77000\times ( 1 + \dfrac{33}{8\times 12})^{12\times 6}-77000\times ( 1 + \dfrac{7}{2\times 12})^{12\times 6}\\\\D = \$(1.257\times 10^{14})[/tex]

Hence, this is the required solution.

Answer 2

Answer: 3534

3534 in delta math

Step-by-step explanation:


Related Questions

Express this number in scientific notation.
245,600,000,000
plzzzzz hurry!

Answers

Answer:

2.456 × 10^11

Step-by-step explanation:

The scale on a map is 1 inch= 2.5 miles. Two towns on the map are 6 inches apart. What is the actual distance between the towns in miles

Answers

Answer:

15 miles

Step-by-step explanation

After setting up a ration you multiply the 2.5 by 6 to get 15.

Did I do this right? Pls help thx

Answers

I am sure your right!!!

Answer:

yes that is correct

Step-by-step explanation:

After 6 hours, 4 inches of snow have fallen. Assume it continues just know at a constant rate complete the table to show how much snow have fallen after 1,2,6 and 8 hours

Answers

Answer:

Step-by-step explanation:

For 6 hrs and 4 inches that's 2/3 an inch for every hr

1 hr  2/3 inches

2 hrs 1.3 or 1 1/3 inches

6 hrs 4 inches

8 hrs 5.3 or 5 1/3 inches

9<=t<=12
what would t equal?

Answers

Answer:

t equals [9,12]

What is the vertex function g(x)=3x^2-48x+199

Answers

Answer:

(8,192)

Step-by-step explanation:

answer with work plus it's the bottom one

Answers

4x+7=23 is the equation
4x=16
x=4
the number is 4

Which graph shows a function where f(2)= 4?

idk i guessed and got it right :)

Answers

Answer:

The 4th graph.

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

f(2)=4 means when x=2. F(x) or you may call it y, equals 4, so find the one that when x=2, y=4, then its your answer.

Twenty people each had 36 carrots. How many carrots are there altogether?

Answers

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

25 times 36 is 900.

There are 900 carrots altogether.

A person has a rectangular board 12 inches by 16 inches around what she wants to put a uniform border of shells if she hasn't of shells were border whose area is 128 square in determine the width of the Border

Answers

Answer:

2 inches

Step-by-step explanation:

Given that:

Dimensions of rectangular board = 12 inches by 16 inches

Area of uniform border around the rectangular board = 128 square inches

To find:

Width of the border = ?

Solution:

Let the width of the uniform border = [tex]x[/tex] inches

Now, there are two rectangular shapes after the addition of border.

One rectangle with the border, one without the board.

Area of border can be found by subtracting the area of board from the area of rectangle with the board.

Dimensions of the rectangle with the border = (12+2[tex]x[/tex]) inches by (16+2[tex]x[/tex]) inches

Area of rectangle = Length [tex]\times[/tex] Width

So, area of border = ((12+2[tex]x[/tex]) [tex]\times[/tex] (16+2[tex]x[/tex])) - 16 [tex]\times[/tex] 12 = 128 square inches

[tex]\Rightarrow 4x^2+56x+192-192=128\\\Rightarrow 4x^2+56x-128=0\\\Rightarrow x^2+14x-32=0\\\Rightarrow (x+16)(x-2)=0\\\Rightarrow x = 2, -16[/tex]

Width can not be negative, so possible value of width = 2 inches

Write an algebraic expression to represent the following:

The product of 7 and the sum of a number, y, and 3.

Answers

Answer:(7+x)(y+3)

Step-by-step explanation: 7 plus X times Y plus 3

What is the equation of the line with a slope of 3 and a y-intercept of -2, written in slope intercept form?

Answers

Answer:

y=3x-2

Step-by-step explanation:

Slope intercept form is

y=mx+b

m=slope

while

b=y-intercept

So you replace the variable with the number that is equal to it:

(A variable is a letter that is unknown like m and b)

y=3x-2

Hope this helps!

Answer:

y = 3x -2

Step-by-step explanation:

formula: y =mx+b, m is slope

2/5 divided by 1/8. Simplest form

Answers

Answer:

1/20 or in a decimal 0.05

Step-by-step explanation:

Hope This helps :)

Answer:

The correct answer is 3 and 1 over 5 also written as 3 1/5

Step-by-step explanation:

HAVE A GOOD DAY!

Which of these triangle pairs can be mapped to each other using a single reflection?

Triangles F E G and F G L are congruent. Triangle F E G is reflected across line F G to form triangle F G L.
Triangles F E G and G L M are congruent. Triangle E F G is rotated about point G to form triangle G L M.
Triangles F E G and L M N are congruent. Triangle F E G is shifted down and to the right to form triangle L M N.
Triangles L M N and E F G are congruent. Triangle F E G is reflected across a line to form triangle L M N. Triangle L M N is also slightly higher and to the right of triangle E F G.

Answers

Answer:

the first answer (A)

Step-by-step explanation:

took it on edge 2020 (:

Answer:

A

Step-by-step explanation:

I took it on edg 2020 and got it wrong so I thought I would help you

1.
Does the equation y = -x + 2 have a
positive or negative slope?

Answers

This equation will have a Negative

I believe the awnser is negative

need help asap dont know how to do it​

Answers

Division. Divide 45 by -3
Would you be asking for help with Question 13 or 14?

A bottle of water contains 450ml. How many litres of water are there in 8 of these bottles

Answers

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

               = 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

              = 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

What are the physical properties. (Short answer please)

Answers

Answer:

Step-by-step explanation:

A physical property is any property that is measurable

A physical property is any property that is measurable

Type the missing number in this sequence:
-5,
20,
-80,

-1,280,
5,120

Answers

Answer:

320

Step-by-step explanation:

multiples of -4

Answer:

320

Step-by-step explanation:

it looks as if it is multiplied by -4 every time.

-5 x -4 = 20

20 x -4 = -80

-80 x -4 = 320

help!!! which is the correct answer ​

Answers

Answer:

There are no solutions

Step-by-step explanation:

Answer:

the answer is B;

Step-by-step explanation:

5x-4≥12

c.l.t

5x≥12+4

5x≥16

X≥16/5

or

3,1/5

which is still 16/5

x≥16/5

H E L P!


Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2
yellow marbles.

What is the ratio of blue and yellow marbles to red marbles?

(Write your ratio as a
fraction)

Answers

Answer:

3+2:7

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Blue mables: 3

green and red marbles: 8 + 7 = 15

then, the radio blue:(green+red) is:

3 : 15

simplified unit rate is:

3/3 = 1

15/3 = 5

then:

3:15

is equal to:

1:5

=

1/5

If Kara cuts 2 pounds of cheese into blocks that each weigh
1
3
pound, how many blocks of cheese will she make?
blocks

Answers

The answer would be 6 blocks of cheese

What is the slope of the lined graphed above?
-2
-1
-1/2
1/2
2

Answers

(0,1), (2,0)
(0-1)/(2-0) = -1/2
The slope is -1/2

Answer: D. 1/2

Step-by-step explanation:

can someone help me answer this
Rewrite the equation 2y−4x=10 in function notation where f(x)=y.

Answers

Answer:

f(x)=5+2x

Step-by-step explanation:

I accidentally fell asleep in math, I just need yes and no's please help me out!

Answers

Answer:

No, yes, yes, yes, no, no, yes, no, yes, no, no, yes

Step-by-step explanation:

Explanation is in the comments by the way.

what is 12x − y = 10 in slope form equation?

Answers

Y=12x-10


Explanation:

You basically what to get y by itself so-

12x-y=10

You will add y to both sides

12x=y+10

Then subtract ten from both sides

12x-10=y or y=12x-10

Emily has a babysitting job that pays $11 per hour. She wants to know how many hours she has to babysit to afford a
new iPad that is $165. Which equation will represent this situation with h representing the number of hours Emily
has to babysit?

165 = 11 -
165 = 11 +h
165 = 11/h
165 = 11h
с
Od
Review Answers
Saved at 7:52 am

Answers

Answer: 165=11h

Step-by-step explanation:

I believe it would be 165=11h because you have to multiply the number of hours she worked times 11 to get the amount that would equal 165!

(PLEASE ANSWER!) Two distinct lines, L and M, are each perpendicular to the same line N. What is the measure of the angle where line L meets line N? What is the measure of the angle where line M meets line N?

Answers

Answer:

90 and 90

Step-by-step explanation:

If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90

Hope This Helps :)

The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

What are perpendicular lines?

In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Now it is given that,

Two distinct lines, L and M, are each perpendicular to the same line N.

Line L is perpendicular to line N.

Since angle between two perpendicular lines =  90°.

So, angle between line L and line N = 90°

Similarly, Line M is also perpendicular to line N.

Therefore, angle between line M and line N = 90°

Thus, The measure of the angle where line L meets line N is 90° ;

and the measure of the angle where line M meets line N is 90°.

To learn more about angles :

https://brainly.com/question/13524681

#SPJ6

Based on the equation 6x + 2y = 30, what is the missing value in the table?

x
y
?
0
3
5
15
30

Answers

Answer:

5

Step-by-step explanation:

Answer:

the answer is b on edge

Step-by-step explanation:

ok

need help with math ​

Answers

2) no solution

3) x=3
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