9. You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.

Use the compound interest formula A = P(1 + r/n) ^nt to give:

a. The future value in 4 years.
b. The interest gained in 4 years.

At an interest rate of 0.2% per year, $15500 will be reached from $15000 in 16.67 years.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Here,

Principal=15000

Rate of interest=0.2%

Interest amount per year=15000*0.2%

=$30

Let n be the number of years,

15500=15000+30n

500=30n

n=50/3

n=16.67 years

It will take 16.67 years to reach the amount of $15500 from $15000 at the interest rate of 0.2% per year.

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The hot air balloon is rising at 600 feet per minute and  the blimp are rising at 250 feet per minute

How fast is the hot air balloon rising?

From the question, we have the following parameters that can be used in our computation:

The height of a balloon over time is represented by the graph

On the graph, we have the following points

(x, y) = (0, 0) and (2, 1200)

The rate is calculated as

Rate = (1200 - 0)/(2 - 0)

Evaluate

Rate = 600

Hence, the rate of rising is 600 feet per minute

How fast is the blimp rising?

From the question, we have the following parameters that can be used in our computation:

The height of a blimp over time is given by y = 250x

The above equation is a linear equation

A linear equation can be represented as

y = mx + c

Where

slope = m

This means that the slope of y = 250x is 250

The slope represents the rate

Hence, the rate of rising is 250 feet per minute

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Answer:

At least 16 cm

Step-by-step explanation:

315cm/15 = 16cm

Answer:

Step-by-step explanation:

Rewrite equations: x+y=6;2x−3y=4

Solve x+y=6 for x: x+y+−y=6+−y (Add -y to both sides)

x=−y+6

Substitute −y+6 for x in2x−3y=4: 2x−3y=4

2(−y+6)−3y=4

−5y+12=4 (Simplify both sides of the equation)

−5y+12+−12=4+−12 (Add -12 to both sides)

−5y=−8

−5y/−5=−8/−5 (Divide both sides by -5)

y=8/5

Substitute 8/5 for y in x=−y+6:

x=−y+6

x=−8/5 +6

x=22/5 (Simplify both sides of the equation)

Answer: x=22/5 and y=8/5

Answer:70 i think srry if its wrong

Step-by-step explanation:

Changing the order of the factors does not change the product, according to the commutative property of multiplication.

Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

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Answer: -23

Step-by-step explanation:

When you're adding to a negative the negative number decreases, so if you're adding 12 from negative 35, you're taking away 12 negative numbers, hence why the answer is -23

hope that helped :)

The measure of the largest angle is 96 degrees.

What is a ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3

The measure of the largest angle in the triangle is 96 degrees.

To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.

We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.

We can set up the following equation to represent the sum of the measures of the angles in the triangle:

x + y + z = 180

We can also set up the following equation to represent the ratio of the angles:

x : y : z = 3 : 5 : 8

We can use these two equations to find the measure of the largest angle.

First, let's multiply the second equation by 3, 5, and 8 to get:

3x = 15y = 24z

Then, we can substitute these equations into the first equation to get:

15y + 24z = 180

Solving for z, we get:

z = 180 / (15+24) = 180 / 39 = 96

Therefore, the measure of the largest angle is 96 degrees.

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Answer:

A. 6 to the power of one sixth

Step-by-step explanation:

To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.

To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.

Answer:

the equation that explains the relationship between BC and B"C" is:

BC = 2 * B"C"

This equation states that the length of BC is equal to twice the length of B"C".

Step-by-step explanation:

If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:

A" (x+1, y+1)

B" (3x+3, 3y+3)

C" (3x+6, 3y+6)

To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the distance formula, we can find the length of BC as follows:

BC = √((3x - x)^2 + (3y - y)^2)

= √((2x)^2 + (2y)^2)

= √(4x^2 + 4y^2)

= 2√(x^2 + y^2)

We can also find the length of B"C" as follows:

B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)

= √((3)^2 + (3)^2)

= √(9 + 9)

= √(18)

= 3√(2)

Answer:

36 cm.

Step-by-step explanation:

In the question, we have been given ,

Area of the rectangle=504cm2

The width of the rectangle=14cm

The length of the rectangle=?

The formula for the area of the area of the rectangle is L×B. Thus A=L×B(W).

So 504cm2= L×14.

Now divide both sides by 14

504cm2/14=14L/14

Therefore L= 36cm

The value of the angle m∠BDC is 105°.

Let separate the triangles and find missing angle in triangle with given angles.

CAD = 45°

CDA = 30°

Then, CAD+CDA+ACD = 180°

45°+30°+ACD=180°

ACD=180°-75°

       =105°

by applying third angle theorem,

∠CAD=∠DBC=45°

∠ADC=∠BCD=30°

Then, ∠DBC+∠BCD+∠BDC=180°

45°+30°+BCD=180°

BCD=180°-75°

      =105°

Hence, The value of the angle m∠BDC is 105°.

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Answer:

10

Step-by-step explanation:

look at where the 2 lines meet and then look at the minutes

Step-by-step explanation:

At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.

3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.

9,800 / 7 = 1,400

1,400 * 4 = 5,600

Answer: look at explanation

Step-by-step explanation:

1. Since those are congruent you equal them to eachother: 6x-8=4x+2

2. Then you solve (steps are shown below)

a) 6x-8=4x+2

b) 2x-8=2

c) 2x=10

d) x=5

3. Answer should be x=5

hope this helps!

Answer:11.17

Step-by-step explanation:

pi x D x angle /360

pi x 8x2x80/360

=11.170

The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Now,

New Orleans is 2 feet below sea level.

And, Salton City has an elevation that is lower than New Orleans.

Let the elevation of Salton city = x feet

Thus, We get;

The possible elevation of Salton city will be;

⇒ x < - 2 feet

Where, x is the elevation of Salton city.

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well, similarity on circles is a phony business

in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?

however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.

The number of Suzanne jars that have 9 beads is 9.

Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.

The number of jars that have 9 beads can be calculated as follows:

let

the number of jars that have 15 beads = x

the number of jars that have 9 beads = y

Hence,

x + y = 12

15x + 9y = 126

multiply equation(i) by 15

15x + 15y = 180

15x + 9y = 126

subtract equation(i) from equation(ii)

6y = 54

divide both sides by 6

y = 54 / 6

y = 9

Therefore,

jars with 9 beads = 9

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Answer: 18x-12

Step-by-step explanation:

Add 10x +8x (because they both have x at the end so its fine to add them

then do -5-7= -12

Answer: 4.46cm

Step-by-step explanation:

Use [SOH CAH TOA]

We have two sides that are labeled. Use 85cm and x.

Using the angle 63 degrees would mean you are using SOH.

SOH = Opposite/Hypotenuse.

If the above is true, then: Sin63 = x/85

Since we don't know what x is, you want to move 85 to the other side.

85(Sin63) = x

Now, you can find x. Multiply 85 and Sin63. Your answer should be 4.46 (if rounded to 2 decimals).

The total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Workers are loading boxes onto a truck . So far, they have loaded 48 boxes onto the truck.

According to their inventory, they still need to load 96% of boxes on the truck. There must be 100% box at the start of the loading. Thus, the percentage of boxes they have load,

p=100-96 = 4%

Thus the percentage of boxes they have load in the truck is 4%. This is equal to the 48 boxes they have loaded.

Let suppose there is x number of total boxes. Thus the 4 percent of x will  be equal to the 48.

(4/100)x=48

x = 4800/4  = 1200

Thus, the total number of boxes of inventory which is loading on the truck by the workers are 1,200 boxes.

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When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,

Total customers=850

Total number of men=375

Total number of women,

=850-375

=475

The ratio of men to women customers,

=375/475

Divide both terms by the GCF 25,

375 ÷ 25 = 15

475 ÷ 25 = 19

=15/19

The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.

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I flip a coin 300 times.

So the possibility of head :

The formula for probability is

Probability=

\frac{number of total events}{number of favorable events}

From the given data in the question,

The coin is tossed total 300 times,

We got head 35 times in 300 times,

So the probability of getting a head is =

[tex] \frac{300}{35} [/tex]

Same do as Tails

The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.

However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy

The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.

The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.

Thus option 3 is correct

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

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You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

Answer:

Train A = 259

Train B = 42

Step-by-step explanation:

Answer:

Train A's weight is 259 tons

Train B's weight is 42 tons

Step-by-step explanation:

Let x represent train A's weight, and y represent train B's weight.

Since they both weigh 301 tons

The equation is: x+y = 301

The difference in their weight is 210, and train A is heavier

So equation is: x - y = 217

x+ y =301

x- y = 217

2x = 518

x = 259 tons

Now find train B

301 - 259 = 42 tons

Answer:

1 – cos²x = Sin²x

Step-by-step explanation:

Sinx + 1 = cos x

by squaring both sides

(Sinx + 1)² = (cos x )²

Sin²x + 1 = cos²x

1 – cos²x = Sin²x

i hope this helped