The two polygons are similar. Find measure of angle C

Answer:

A = 2000(1.042)^t; $2667.50

Step-by-step explanation:

The formula or model for Compound Interest is given as:

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

Where:

A = Amount or Balance after t years

P = Principal or initial amount invested = $2000

r = Interest rate = 4.2% = 0.042

t = Time in years = 7 years

n = Compounding frequency = Annually = per year = 1

Hence, the compound interest function to model for the situation (Question) with time t above is:

A = 2000(1 + 0.042) ^1 ×t

A = 2000(1.042)^t

Therefore solving for the balance

A = 2000(1.042)^7

A = 2,667.50

A = $2667.50

Therefore, option a =

A = 2000(1.042)^t; $2667.50

is the correct option.

Answer:

The equation is, [tex]5x+3y=82[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the cost of small wreaths.

So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].

Let [tex]y[/tex] represent the cost of large wreaths.

So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].

On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].

The equation is, [tex]5x+3y=82[/tex].

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

Answer: x = -3

Step-by-step explanation:

-3x = 9

9 ÷ -3 = -3

:)

Answer:

x = -3

Step-by-step explanation:

-3x = 9

9 divide by -3 = -3

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

Answer:

6x³ - 19x² + x + 6

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 3)(2x + 1)(3x - 2)

Step 2: Expand

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

Answer:

what do you need help on?

Answer:

I believe it's the one on the bottom left

Step-by-step explanation:

I'm still taking my test so I'll come back later to tell you if it's correct.

Answer:

It's the one on the bottom left

Step-by-step explanation:

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

7 ( 1  +  8 )

simplify

1. rearrange terms

7(1 + 8v)

7(8v + 1)

2. Distribute

7(8v + 1)

56v + 7

Solution

Answer:

Are you making a new post?

Step-by-step explanation:

Answer:

Step-by-step explanation:

25% it means 1/4 of the total

1/4 of 80 is 20 (80/4=20)

answer B

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75

Answer:

D

Step-by-step explanation

18/15=1.2

21/1.2=17.5

They Match!

Answer:

2.5

Step-by-step explanation:

15-10=5

5/2=2.5

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

Answer:

2 8c+3

Step-by-step explanation:

Answer:

8c+3

Step-by-step explanation:

for #2

Answer:

trapezoid

Step-by-step explanation:

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

Answer:

In each additional minute, approximately 312 more words are read.

Step-by-step explanation:

Given tbe sentences :

The slope is the rate of change per unit: in the context of the question, the number of word reads increases. By 312.

Hence, the slope according to the slope of the graph interpretation is that, the number of words read per minute increases by 312 as the value of minute increases by one minutes.

Answer:

GCF is 7xa

Step-by-step explanation:

Answer:

hCf is 7ax

plz refer to the picture

plz mark as brainliest

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right