Monica deposits ​$200 into a savings account that pays a simple interest rate of 3.3​%. Paul deposits ​$300 into a savings account that pays a simple interest rate of ​2.4%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

Answer:

a=60° and b=75°

Step-by-step explanation:

The value of a is 60° and b is 75°.

Answer:

x=15/8; x ≈ 1.88

Step-by-step explanation:

cross products

15=8x

Divide both sides by 8

x = 1.875 = 15/8

x ≈ 1.88

Part A: $2,400

Part B: $9,900

First, you need to find how much interest she is paying annually by taking the 8% and finding out what is 8% of $7,500. To do this, we can set two fractions up side by side, x/7,500 and 8/100. The denominators mean 100% of 7,500 is 7,500. The numerators mean that x is 8% of 7,500.

So to find x, we can cross multiply 7,500 and 8, giving us 60,000. Then we can divide 60,000 by 100, to give us 600. So x=600. 600 is how much interest costs for 1 year.

Now, to find how much interest is for 4 years, all we have to do is multiply 600 by 4. This gives us 2400. So, 4 years of interest costs her $2,400.

Her total balance after the 4 years is just the 4 year interest plus the amount borrowed. So 2,400 + 7,500. Giving us $9,900.

Answer:

start  11% slug preference, 89% fish preference

end   41.2% slug preference, 58.8% fish preference

Step-by-step explanation:

77+623=700

77/700=0.11

0.11x100=11%

623/700=0.89

0.89x100=89%

103+147=250

103/250=0.412

0.412x100=41.2%

147/250=0.588

0.588x100=58.8%

The answer you are looking for is 33807

Answer:

y:=33806.526

y=33807.(Rounded off)

Step-by-step explanation:

y=(34567(1−0.022))

Solve for y

y=50016903263​=33806500263​=33806.526

Steps for Solving Linear Equation

y=(34567(1−0.022))

Subtract 0.022 from 1 to get 0.978.

y=(34567×0.978)1

Multiply 34567 and 0.978 to get 33806.526.

y=33806.5261

Calculate 33806.526 to the power of 1 and get 33806.526.

y=33806.526

Assign y

y:=33806.526

y=33807.

Answer:

y/x = 8 shows DIRECT variation.

Step-by-step explanation:

y varies directly as x if y = kx for some constant, k.  In other words, y/x is constant.

Answer:

3/4

Step-by-step explanation:

Answer:

Your answer is 6 {1/6}

Step-by-step explanation:

3+2/3+2+1/2

Solving the whole number of parts

3+2=5

Solving the fraction parts

2/3+1/2=?

Find the LCD of 2/3 and 1/2

LCD = 6

4/6+3/6=7/6

Simplify

7/6=1 1/6

Combine

5+1+1/6=6 1/6

Convert mixed numbers to fractions.

11/3+5/2

Apply fractions formula for addition,

=(11×2)+(5×3)3×2

=22+156

=37/6

Simplify 37/6, the answer is

=6 1/6

Answer: 6 1/6

Step-by-step explanation:

Step 1: Add the whole numbers

3 2/3 + 2 1/2= 5 + 2/3 + 1/2

Step 2: Ignoring the whole number, add the fractions.

2/3+ 1/2

Find the LCM of 2 and 3, which is 6. Now make the denominators for both fractions 6, and multiply the numerators by whatever  you multiply the denominator to get to 6.

You know that to get 3 to 6, you multiply by 2. So then you also have to multiply the neumerator for that fraction by  2 as well. 2x2= 4, so the new neumeraator is 4

Now for the next fraction. To get from 2 to six, you multiply by 3. So multiply the neumerator by 3. 1x3= 3  , so the new neumerator is 3.

4/6+ 3/6= 7/6

Step  3: Add & Simplify

5+7/6= 5+1 1/6= 6 1/6.

Hope this helps :)) Also brainliest would be appreciated ,  i worked pretty hard on this thanks!! :D

Answer:

Denise has to pay $5.05 for the candy bars and the sodes

Step-by-step explanation:

1.25*3= 3.75

0.65+0.65=1.30

Answer:

3x-6

Step-by-step explanation:

Answer:

no triangle

Step-by-step explanation:

The sum of the measures of a triangle is 180°.

70° + 85° + 105° = 260°

Since the sum of the given measures is 260°, no triangle with these angle measures can be constructed since it cannot exist.

Answer:

Step-by-step explanation:

form. Meaning you need make both fractions improper

Answer:

9% of the 100 were best-sellers

Step-by-step explanation:

there are 100 books, and 9 of them were best sellers, to put this in a percentage we can do (9/100)*100 which gives us 9, we slap a % on it and get 9%

Answer:

5 is 1/15

6 is 1/45

7 is 2/45

8 is 4/45

Step-by-step explanation:

hope this helps :)

Answer:

1:2

Step-by-step explanation: 54 divided by 27 is 2 so 1 lollipop is 2 candy bars!

Answer:

I think it 4 and 57 because it's not going to - and it not going to be too high

Answer:

The integer that describes the translation from B to B' is (-2,1)

Answer:

84

Step-by-step explanation:

7(9+3) you multiply 7 to both numbers like this

63+21 and then you can simplify

84

If you need the other 3 done just comment on this question to tell me

Also please mark brainliest

Answer:

Step-by-step explanation:

1.84

2.32

3.30

4.88

1.

84 because PEMDAS(parenthesis/Exponents/Multiply/Divide/Add/Subtact) says you do parenthesis first. So you add 9 and 3 to get 12. The you do 12*7 to get 84.

Answer:

6,7,8 etc

Step-by-step explanation:

-2x>10

-2(-x)>10

examples

-2(-6)>10

12>10

12(-7)>10

14>10

Answer:

Step-by-step explanation:

6.40 im not sure but i think

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

32.6

Step-by-step explanation:

x+2x-10=88

3x=10+88

3x=98

x=98÷3=32.6

The total volume of water in the pool is (6x² + 12x - 90) ft³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

A fish tank, for example, is 3 feet long, 1 foot wide, and 2 feet tall. To calculate the volume, multiply the length by the breadth by the height, which is 3x1x2, which equals six.

Given:

The volume of water in the deep end can be represented by

= (2x² + 12x + 10) ft³

and, the volume of the water in the shallow end can be represented by (4x² −100) ft³.

The total volume of water in the pool  = ( 6x^3 + 12x^2 - 90x ) ft^3

So, The total volume of water in the pool

= volume of water in the deep + volume of the water in the shallow end

= (2x² + 12x + 10) + (4x² −100)

= 2x² + 4x² + 12x + 10 - 100

= 6x² + 12x - 90

Learn more about Volume here:

https://brainly.com/question/13203618

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