In order to accumulate enough money for a down payment on a house, a couple deposits $589 per
month into an account paying 3% compounded monthly. If payments are made at the end of each period,
how much money will be in the account in 4 years?
Type the amount in the account: $
(Round to the nearest dollar.)

Answer:

✅Figure E has more area

✅Figure E has 5.14 units² much more than Figure D.

Step-by-step explanation:

The logic to solving this kind of problem is to decompose and each of the figure to find out how many squares and circles are there in each figure, them calculate the area of each figure using the formula for area of square and area of a circle.

✍️Figure D:

Figure D is composed of 2 squares and 4 semicircles (2 full circles).

Since side length of 1 square = 1 unit, therefore, radius of the semi-circle/circle = 1 unit.

Area of the 2 squares = 2(s²) = 2(1²) = 2 unit²

Area of the 2 full circles = 2(πr²) = 2(3.14*1²) = 6.28 unit²

Area of Figure D = 2 + 6.28 = 8.28 unit²

✍️Figure E:

Figure E is composed of 4 squares and 6 quarter circles (3 full circles).

Area of the 4 squares = 4(s²) = 4(1²) = 4 unit²

Area of the 3 full circles = 3(πr²) = 3(3.14*1²) = 9.42 units²

Area of figure E = 4 + 9.42 = 13.42 unit²

✅Therefore, we can conclude that Figure E has more area.

✅Figure E has 5.14 unit² more area than Figure D (13.42 - 8.28 = 5.14).

Answer:

sample size n would be 149305 large

Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval

Step-by-step explanation:

Given that;

standard deviation α = 150 min

confidence interval = 99%

since; p( -2.576 < z < 2.576) = 0.99

so z-value for 99% CI is 2.576

E = 1 minutes

Therefore

n = [(z × α) / E ]²

so we substitute

n = [(2.576 × 150) / 1 ]²

n = [ 386.4 ]²

n = 149304.96 ≈ 149305

Therefore sample size would be 149305 large

Value of n is too high, that would be the practical problem with attempting to find this confidence interval

Answer:

Expression: 2.89+(1.28x3) Answer: 6.73

Step-by-step explanation:

Number 1

Answer:

1374.00

Step-by-step explanation:

I just took the test

oh this is for k12 students by the way

15

hope this helps you alot☺✌❤

Answer:

2z+6

Step-by-step explanation:

Answer:

z+ (z+6) =2 (z+3)

Step-by-step explanation:

the other given optional expressions are not equivalent to the given expression. The option 2 (z+3) is correct and it is the equivalent expression. Hence the given expression z+ (z+6) is equivalent to the expression 2 (z+3)

Answer:

Its definitely 23$ is equally into 33$ and if its add it will be €23 and then you will add some randomly number and plus it to 23 and 13 is the answer thank me later

I think

Step-by-step explanation:

12.5 since it decreases 10% and the old bag had 14 cups and 10% is 1.4

Answer:

Step 2: Missy did not multiply the area of each face by 2 before adding.

Step-by-step explanation:

I took the test :)

Answer:

C is da answer

Step-by-step explanation:

Answer:

never seen such big horror

but I think it D using logic

Answer:

$10.80

Step-by-step explanation:

45% of $24=10.8

use place value and money to make it $10.80

TEN DOLLARS AND EIGHTY CENTS

Answer:

true

Step-by-step explanation:

4/7 = 8/9

= 4*9/7*8

= 36/56

= 2*2*3*3/2*2*2*7

= 9/14

proved

Answer:

what grade are u in just need to know so I can help bc I dont understand the question

Answer:

15/4

Step-by-step explanation:

Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.

3/4 divided by 1/5

3/4 times 5/1 (multiply reciprocal)

=15/4

I havent done this in a while so im not entirely sure.

Answer:

8x+36

Step-by-step explanation:

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we should use the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

According to the property,

[tex]\longrightarrow\tt{4(2x+9)=8x+36}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to reach out! :D

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Answer:

I'd say B bcs it's the only thing that would fit with the shift on x axis and y axis

Answer:

It is 10 times greater.

Step-by-step explanation:

The place value of 9 in 90,000 is in the 10,000th place.

The place value of 9 in 9,000 is in the 1,000th place.

10,000 divided by 1,000 = 10.

In conclusion, the place value of 9 in 90,000 is 10 times greater than the palce value of 9 in 9,000.

Answer:

$1.5/pound

Step-by-step explanation:

Number of pounds  = 8pounds

Cost of pasta = $12

Now;

  Unknown:

           cost per pound of pasta

Solution:

To find the cost per pound of pasta;

 Cost per pound of pasta  = [tex]\frac{cost of pasta}{number of pasta}[/tex]  

  Cost per pound of pasta = [tex]\frac{12}{8}[/tex]   = $1.5/pound

Answer:

0.4

Step-by-step explanation:

→ Convert fraction to a denominator of 100

10 / 25 ⇔ 40 / 100

Answer:

0.4

Step-by-step explanation:

An easy way to do this is to get the fraction over 100

So, multiply the fraction by 4 (because 25*4=100)

then you get 40/100 which is 0.4 in decimal form

Step-by-step explanation:

...........................

Answer:

x=x

Step-by-step explanation:

Answer:

50+3x+4 = 90

54+3x = 90

3x = 90-54

3x = 36

x = 12

3x+4  = 3(12)+4

          = 36+4

          = 40

Answer:

-4+2

Step-by-step explanation:

Answer:

After 5 hours

Step-by-step explanation:

Given

[tex]p(x) = 45 + 35x[/tex]

Required

Determine what time the budget would exceed $220

To do this, we simply substitute 220 for p(x)

[tex]220 = 45 + 35x[/tex]

[tex]220 - 45 = 35x[/tex]

[tex]175= 35x[/tex]

Solve for x

[tex]x = 175/35[/tex]

[tex]x = 5[/tex]

So, Mr. Barnes would exceed his budget after 5 hours

Answer:

6 quarters 2 dime 3 nickels

Step-by-step explanation: