A limited-edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)A.y = 18(1.15)x

B. y = 18(0.15)x

C.y = 20.7(1.15)x

D.y = 20.7(0.15)

Answers

Answer 1
Answer: we try each

A. 18(1.15)^1=20.7 correct
B will decrease
C is too much
D also decrase

A is answer

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Do you know the answer? Help!Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX
Name the postulate or theorem you can use to prove the triangles congruent.

A. SSS Postulate
B. SAS Postulate
C. ASA Postulate
D. AAS Theorem

Answers

Answer: D. AAS Theorem


Step-by-step explanation:

Given: ∠D ≅∠T, ∠E ≅ ∠U, EO ≅ UX

Then in Δ DOE and Δ TXU

∠D ≅∠T, [Angle]

∠E ≅ ∠U, [Angle]

EO ≅ UX [Side]

From the figure we can see they are two pair of corresponding congruent  angles and one non included sides.

Thus by AAS theorem

Δ DOE ≅ Δ TXU

  • AAS theorem tells that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
A cannot be right, as you do not know all 3 sides are equal, you only know one side is.
B cannot be right, as again you only have one side, and need 2
C could be right, but the order is not correct. The side we know is not between the two angles, making this theory incorrect
D is correct, as we have 2 angles next to each other, and a side that is congruent

Assume each variable has a different value. Which relations below are functions? a. {(a, b), (a, c), (a, d), (a, e)} b. {(a, b), (b, b), (c, b), (d, b)} c. {(a, b), (c, d), (e, f), (g, h)} d. {(a, a), (b, c), (c, c), (d, e)}A. choice a only

B. choices b and c only

C. choice c only

D. choices b, c, d only

Answers

A function is a relation in which every input value x has at most one output value y.

Consider all options:

a. Relation {(a, b), (a, c), (a, d), (a, e)} is not a function, because input value a has four different output values b, c, d and e.

b. Relation {(a, b), (b, b), (c, b), (d, b)} is a function, because every input value a, b, c and d have at most one output value b.

c. Relation {(a, b), (c, d), (e, f), (g, h)} is a function, because every input value a,  c, e and g have at most one output value b, d, f and g, respectively.

d. Relation {(a, a), (b, c), (c, c), (d, e)} is a function, because every input value a,  b, c and d have at most one output value a, c, c and e, respectively.

Answer: correct choice is D

i think its D but im not 100% sure let me know if its right

Please help I don't understand this

Answers

step 1: 81/13.5
step 2: $6
step 3: for every hour he worked, ben earned $6

What would be the value of Pearson’s r (simply the square root of r2)?

Answers

All we have to do to obtain r is to take the square root of r^2

To convert drams to grams, multiply the number of drams by which number?

Answers


"Dram" is a unit of volume, whereas "gram" is a unit of mass.
They can't be directly converted.  If they both refer to a sample
of some substance, then the conversion depends on the density
of the substance.  All we can say for sure by way of an answer is: 
To change 'drams' to 'grams', replace the 'd' with 'g'.
 

Review the incomplete derivation of the cosine sum identity.A 2-column table with 5 rows. Column 1 has entries step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (x + y), sine (StartFraction pi Over 2 EndFraction minus (x + y) ), blank, sine (StartFraction pi Over 2 EndFraction minus x) cosine (negative y) + cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y), blank.

Which expressions for Step 3 and Step 5 complete the derivation?

Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)

Answers

Answer:

Option (4)

Step-by-step explanation:

STEP - 1

cos(x + y)

STEP - 2

\text{sin}[(\pi)/(2)-(x+y)]

STEP - 3

\text{sin}[((\pi)/(2)-x)-y]

STEP - 4

\text{sin}((\pi)/(2)-x)\text{cos}(-y)+\text{cos}((\pi)/(2)-x)\text{sin}(-y)

STEP - 5

cos(x)cos(y) - sin(x)sin(y)

[Since, \text{sin}((\pi)/(2)-x)=cos(x) and \text{cos}((\pi)/(2)-x)=\text{sin}(x)]

[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]

Therefore, Option (4) will be the correct option.

Answer:

D

Step-by-step explanation:

Top Answer was right, don't know why it was rated poorly