What units are used for the data? What should you do before finding the mean and median number

Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:

Vikentia [17]

Answer:

C) Reflection about the origin

Step-by-step explanation:

DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.

The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)

6 0

3 years ago

Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a real return of 4 percent per year

Montano1993 [528]

Answer:

nominal rate of interest is 31.7 %

Step-by-step explanation:

given data

payment = $1000

time = 2 year

rate = 4%

CPI = 100

CPI final yer = 127.7

to find out

nominal rate of interest

solution

we know nominal rate of interest formula that is

nominal rate of interest = real interest rate + inflation rate .........1

so here inflation rate is express as

inflation rate = ( CPI final year - CPI ) / CPI × 100 ...........2

put here value

inflation rate = ( 127.7 - 100 ) / 100 × 100

inflation rate is 27.7 %

so from equation 1

nominal rate of interest = real interest rate + inflation rate

nominal rate of interest = 4% + 27.7%

nominal rate of interest is 31.7 %

7 0

3 years ago

You are creating a decorative rope that is at least 20 feet long. You do not have enough 6 inch beads to make the rope, so you w

Inessa05 [86]

You can use at most 24 beads that are 10 inches long to decorate the rope.

Step-by-step explanation:

Given,

Length of rope = 120 feet

1 foot = 12 inches

20 foot = 20*12 = 240 inches

Length of bead = 10 inches

Let,

x represents the number of beads used on rope.

As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.

Length of each bead*Number of beads ≤ length of rope

$10*x\leq 240\\10x\leq 240$

Dividing both sides by 10

$\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24$

You can use at most 24 beads that are 10 inches long to decorate the rope.

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

4 0

3 years ago

1)Evaluate 2A - 3B for A = 7 and B = -2.

Gnom [1K]

Hey Brion,

1) Evaluate 2A - 3B for A = 7 and B = -2.
To solve this start by filling in the variables.
2(7) - 3(-2)

Now multiply, remember that a positive times a negative is a negative.
14 - (-6)

Finally, subtract. Remember, Keep, Change, Change (KCC). Keep the first number, change symbol (for subtraction use addition), and change the negative number to a positive number.
14 + 6 = 20

2) If x = -3, then x 2-7x + 10 equals
Start by filling in the variables.
-3(2) - 7(-3) + 10

Now follow PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction) to solve. Remember K.C.C (no. 1 above)
-3(2) - 7(-3) + 10
(-6) - (-21) + 10
(-6) + (21) + 10
15 + 10
25*****See NOTE!***
_____________________________________________________________
Note: For #2 you may be missing a symbol between the first "x" and "2" because the answer I got above (25) is not one of your choices. Let me know what symbol is missing in the equation: x 2-7x + 10, and I will help you solve it.

5 0

3 years ago

Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to

zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

$C=\frac{Prt(1+r)^n}{(1+r)^n-1}$

Given that,

P = $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

$C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}$

On simplifying, we get

$C=\$377.425\\\\C\approx \$377$

Therefore, the monthly payment is $377

C is the correct option.

4 0

3 years ago