Help me solve this please

Answer:

The amount Lilian needs to invest is $5,160

Step-by-step explanation:

The parameters of the amount Lilian is going to invest in an account are;

The interest rate the account pays = 5.7%

The final amount the investment is expected to reach after the given time period = $7,600

The number of years of the investment = 7 years

The formula for compound interest is presented as follows;

[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The final amount = $7,600

P = The amount Lilian is to invest

r = The interest rate = 5.7% = 0.057

n = The number of times the interest is applied per time period = 1

t = The number of period that passes = 7 (years)

Therefore, we get;

[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]

∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754

The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160

Answer: So when you double the radius, the area goes up by 4 times because 2 squared is 4. The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double -- from 12.56 to 25.12 because you do not square the radius (or diameter) -- you just multiply it by pi.

Step-by-step explanation:

Answer:

-5 , -1 , 0 , 1 , 3

Step-by-step explanation:

Answer:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x.

Answer and Step-by-step explanation:

For this shape, we have to draw a line that goes through the point that is inside of the shape from top to bottom.

This creates a square and two triangles.

The area formula for a triangle is A = [tex]\frac{bh}{2}[/tex]

The area of a square is A = b*b

Half of 3 is 1.5.

Triangles (Area combined):

Since there are two triangles that are the same, we only need to find the area of of 1 triangle, and not divide by 2.

A = 3 × 1.5 = 4.5

Square:

A = 3 × 3 = 9

Now, we add them together to get the total area of the figure.

9 + 4.5 = 13.5

The area of the figure is 13.5 [tex]in^{2}[/tex].

#teamtrees #PAW (Plant And Water)

Answer: D

Step-by-step explanation:

Answer: 50$

Step-by-step explanation:

15:3=5$

25:5=5$

30:6=5$

60:12=5$

5$ x 10=5=50$

Answer: X<-10/7

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

Length is 7, Permimeter is 28

Step-by-step explanation:

Perimeter=4×side

(8x-28)=4×x [let length be x]

8x-28=4x

8x-4x=28

4x=28

x=28÷4

x=7

Length = x = 7

Perimeter=(8x-28)

=(7×8)-28

=56-28

=28

Answer:

can you post a pitcure of the question... i cant really understand the words like this.

Step-by-step explanation:

Answer:

Answer is D.)

6x3 - 2x2 - 11x + 4

Step-by-step explanation:

d

joke mmmk,k

nm,iikkk,mk

The polynomial 3x²+12x+14 cannot be factored by factoring out a GCF. Therefore, option D is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

Here,

a) 9x²-81x+27

In the given trinomial, in each term 9 is the common factor, so, the GCF of the trinomial is 9.

Thus, 9(x²-9x+3)

b) 15x²+3x

The factors of each terms of binomial is listed below

15x²=3×5×x×x

3x=3×x

So, the GCF is 3x

Now, 3x(5x+1)

c) 2x+4

The factors of each terms of binomial is listed below

2x=2×x

4=2×2

So, the GCF is 2

Now, 2(x+2)

d) 3x²+12x+14

In this trinomial there is no common term.

Therefore, option D is the correct answer.

To learn more about the factorization visit:

https://brainly.com/question/26923098.

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Answer:

x = 9

Step-by-step explanation:

Opposite sides of a parallelogram are equal.

16x - 15 = 11x + 30          Subtract 11x from both sides

16x - 11x - 15 = 30           Combine the left

5x - 15 = 30                    Add 15 to both sides

5x = 30 + 15                   Combine the right

5x = 45                           Divide by 5

5x/5 = 45/5

x = 9

Answer:

19/8 and 22/7

Step-by-step explanation:

Answer:

[A. 19/6 and 22/7]

Step-by-step explanation:

Answer:

x = 5 or x = -5

Step-by-step explanation:

| a b |

| c d |

det = ad - bc

| x 4 |

| 3 x |

det = x * x - 4 * 3 = x^2 - 12

x^2 - 12 = 13

x^2 = 25

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or x = -5

Step-by-step explanation:

2nd is same solution

3rd is different solution

4th is same solution

(how I did this is by simply mathematics )

+ - = -

+ += +

Answer:

Identify all equations or possible expressions to solve for and evaluate. Find clues, use context clues and try to find out/identify other problems then solve for it bit by bit put them together to solve for.

(also there is no story)

Answer:

y < 50x

Step-by-step explanation:

In order to graph this inequality, you first need to identify the important word(s) here to find the inequality sign; in this case, it would be "maximum of $50" a month. Since it's a maximum of $50 a month (or less than $50 a month), you can write it as:

Where m is months and c is total cost, c < 50m

If you need to graph this, you can write it as y < 50x. The cost is y since it's the output, and months is x since that's the input.

Answer:

3.1 * 10^10

Step-by-step explanation:

Answer:

can u explain more and if not i thnk it is 20:15

Step-by-step explanation:

Answer:

number of boys in the class = 20

number of girls in the class = 15

ratio of girls is to boys(Percentage) = 15/20 x 100

= 0.75 x 100 = 75%

Step-by-step explanation:

Answer:

5/36 is your answer.

Step-by-step explanation:

If the red die shows a "2", then the blue die must take on the values from the set {2,3, 4, 5, 6} in order for the sum of both dice to be larger than 4.

1+2=3

2+3 = 5

2+4 = 6

2+5 = 7

2+6 = 8

There are 6*6 = 36 total ways to roll two dice and exactly 5 ways to get the conditions stated above. The probability of getting a sum greater than 2 is 5/36

The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Cindy throws one red and one blue regular (six-sided) fair dice. The total number of events will be

Total events = 6 x 6 = 36

The probability that the sum of the two dice is greater than 2 will be given as

P = 1 - 1 / 36

P = 35 / 36

The probability that the sum of the two dice is greater than 2 will be 35/36. Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

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5+ sqrt45/4

5+5/4

6.75