ABCD is a square.
Solve for x

Answer:

$ 50,340.97

Step-by-step explanation:

From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.

The formula to find Principal in a compound interest question is:

P = A / (1 + r/n)^nt

Where:

A = Total Amount obtained after invested = $80,000

r = Interest rate = 3.1% = 0.031

n = number of times interest in compounded = Quarterly = 4

t = time in years = 15

P = $80,000/(1 + 0.031/4)^4 × 15

P = $80,000/(1 +0.00775)^60

P = $ 50,340.97

Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.

Answer:

63 sq

Step-by-step explanation:

9*7

Answer:YASSA POINTS

Step-by-step explanation:

Answer:

21.759

Step-by-step explanation:

Given that :

Mean (m) = 25

Standard deviation (s) = 12.5

Sample size (n) = 40

α = 90%

The confidence interval is obtained using the relation:

Mean ± Zcritical * s/sqrt(n)

Zcritical at 90% confidence interval = 1.64

25 ± 1.64 * (12.5/sqrt(40))

Lower boundary : 25 - 1.64(1.9764235) = 21.75866546

Upper boundary : 25 + 1.64(1.9764235) = 28.24133454

(21.759, 28.241)

Hence, lower bound of confidence interval is : 21.759

Answer:

Formula: [tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]

Normal Price: [tex]\$1.15[/tex]

Step-by-step explanation:

First, you have to find the current price of one cookie.

Since 7 cookies cost $2.80, then the price for one sale price cookie would cost

Then you would have to add the $0.75 to the sale price to get the normal price.

[tex]\$0.4\ +\ \$0.75=\$1.15[/tex]

The normal price of a cookie would be $1.15.

The formula to get that answer would be:

[tex]c=\frac{sale\ price\ of\ 7}{7}+\$0.75[/tex]

Hope this helps!

Answer:

4x – 5

4 (x – 5)

4 ( x + 5)

5 less than the sum of 4 and a number

5 less than the product of 4 and a number

the product of 4 and the difference of a number and 5

4 more than the sum of a number and 5

5 more than the product of 4 and a number

the product of 4 and the sum of a number and 5

4 more than 5 less than a number

Answer: Choice D)

No slope, the term x2-x1 is zero and we cannot have zero in the denominator.

=========================================

Explanation:

The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.

The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.

Answer:

The q value coefficient is 5

Step-by-step explanation:

The q value are all positive and negative factors of the first coefficient (5)

The p value are all positive and negative factors  of the last coefficient (2)

Answer:

do u know the answer ik it's five units up but that it

Answer: a vertical stretch with a scale factor of 2. and a translation of 5 units up.

Step-by-step explanation:

Answer:

a}[tex]P_1= 0.3[/tex]

b)[tex]P_2 =0.45[/tex]

c) NOT INDEPENDENT

Step-by-step explanation:

From the question we are told that

Sample space

Math majors are 3

computer science majors are 3

Generally the sample space is

Mathematically the sample space required on Monday is given as  [tex]S_m= 3c_1 * 3C_2[/tex]

where [tex]S_m[/tex] =sample space on Monday

Therefore,

[tex]P_1[/tex] = [tex]\frac{3C_1 *3C_2}{6C_3}[/tex]

[tex]P_1=\frac{3*3}{20}[/tex]

[tex]P_1=\frac{6}{20}[/tex]

b)

Generally the the equation is given as

[tex]P_2 =P(\frac{x \cap y}{y})[/tex]

where

x  is  selecting two math major and 1 computer science major on Monday

y is at leas one math major selected

[tex]P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

[tex]P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}[/tex]

c)

Generally in representing independent events

[tex]P_3=p(x \cap y)[/tex]

=>[tex]p(x) * p(y)[/tex]

Mathematically

[tex]n(x)= ^3C_1 *^3C_2[/tex]

[tex]n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

therefore

[tex]n(x \cap y) =^3C_1 *^3C_2[/tex]

This does not satisfy the two equations stated above therefore NOT INDEPENDENT

Answer: 2:45 pm

Step-by-step explanation:

Find the length of the tour;

90 minutes at Empire State

180 minutes in Central Park

45 minutes in Times Square

= 90 + 180 + 45

= 315 minutes

= 5.25 hours

= 5 hours 15 minutes

Dinner Reservation is at 8.

Latest time they can start is;

= 8 - 5.25 hours

= 2.75

= 2 hours 45 minutes

= 2:45 pm

Answer:

irrational

Step-by-step explanation:

3/4 + sqrt(2)

3/4 is rational

sqrt(2) is irrational

The sum of a rational and an irrational number is irrational

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

Answer:

2 13/16

Step-by-step explanation:

1 15

16

+

7

8

=  (1 + 0) + (

15

16

+

7

8

)

=  1 +

15

16

+

7 × 2

8 × 2

=  1 +

15

16

+

14

16

=  1 +

15 + 14

16

=  1 +

29

16

=  1 +

1 13

16

=  

2 13

16

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

Answer:

-3326

Step-by-step explanation:

replaces the x's with -3

so (5(-3))^3 + (2(-3))^2 -4(-3)+1 = -3326

Answer:A=4 Years B=6 years

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

5x+6=10+10=8x-15

Step-by-step explanation:

Answer:

The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

-Thank you

Answer:

C. (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

Step-by-step explanation:

81 + 114 = 225

225 = 225

100% correct I took the test today and got 100%. :)

can i plz have brainliest

Answer:

D. 4 17/27

Step-by-step explanation:

(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27

Answer:

D

Step-by-step explanation:

[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]

Answer:

D. 1/2

Step-by-step explanation:

1/2 = 0.5

1/2 it´s a representation of a decimal number.

Given:

An airport limo service charges riders a fixed charge of $15 plus  $4.00 per mile.

To find:

Distance in miles must a rider go to have an  average cost per mile of $4.60.

Solution:

Let x be the number of miles the rider travel.

Total charges = Fixed charges + Variable charges

According to the question,

Fixed charges = $15

Variable charges = $4x

So,  total charges

[tex]T=15+4x[/tex]

Divide the total charges by number of miles to get the cost per mile.

[tex]\text{Cost per mile}=\dfrac{15+4x}{x}[/tex]

Average cost per mile is $4.60.

[tex]4.60=\dfrac{15+4x}{x}[/tex]

[tex]4.60x=15+4x[/tex]

[tex]4.60x-4x=15[/tex]

[tex]0.60x=15[/tex]

Divide both sides by 0.60.

[tex]x=\dfrac{15}{0.60}[/tex]

[tex]x=25[/tex]

Therefore, the required number of miles is 25.