Select the correct answer

Answer: $7,488

Step-by-step explanation:

For answer B:

The formula for the new balance would be A=P(1 + r)t

A = new balance

P = principal balance -> $900

r = rate (in decimal form)

t = time in years -> 8 years

To find the rate, convert 4% to decimal  

4/100 = 0.04

A=P(1+ r)t  

A=900(1+0.04)8

A=900(1.04)8

A=$7,488

Answer:

A. 288, b 1,188

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

The number of nickels is 47

Step-by-step explanation:

1 nickel is 5 cents while 1 quarter is 25 cents

let the number of nickels be n and the number of quarters be q

From the question;

the number of nickels n is 8 more than half the number of quarters (q/2)

n = q/2 + 8

(n-8) = q/2

q = 2(n-8) = 2n - 16 ••••(i)

let us convert $21.85 to cents

there are 100 cents in $1

Thus; $21.85 will be 21.85 * 100 = 2185 cents

1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents

1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents

The addition of both will give 2185 cents

Thus;

5n + 25q = 2185 ••••••(ii)

Substitute equation i into ii

5n + 25(2n-16) = 2185

5n + 50n - 400 = 2185

55n = 2185 + 400

55n = 2,585

n = 2,585/55

n = 47 nickels

Answer:

3 qt

Step-by-step explanation:

Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.

1 gal = 4 qt

Initial value = 3 gal 2 qt = 14 qt

Change = 2 gal 3 qt = 11 qt

14 qt - 11 qt = 3 qt

Answer: 7/45, 7/18

Step-by-step explanation:5/9 - 2/5 = 25/45 - 18/45 = 25 - 18/45 = 7/45

and 1/2 - 1/9 = 9/18 - 2/18 = 7/18

Answer:

Option C.

Step-by-step explanation:

We know that for two vectors:

A = 〈a₁, a₂, a₃ 〉and  B =〈b₁, b₂, b₃〉.

The dot product between A and B is:

A.B = IAI*IBI*cos(θ)

Where θ is the angle between the vectors.

And the dot product can be also written as:

A.B = a₁*b₁ + a₂*b₂ + a₃*b₃

With that, we can find the angle between our vectors.

In this case, the vectors are:

A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉

The modules are:

IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78

IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31

And the dot product between A and B is:

A.B = 6*8 + (-3)*9 + 1*(-11) = 10

Then we have that:

10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)

10/(6.78*16.31) = cos(θ)

Now remember the inverse cosine function, Acos(x), this function has the property:

Acos(cos(x)) = x

If we apply this to both sides, we get:

Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°

The correct option is C.

Answer:

7x² - 6x + 4

Step-by-step explanation:

(4x² - x + 6) - (-3x² + 5x + 2)

4x² - x + 6 + 3x² - 5x - 2

4x² + 3x² - x - 5x + 6 - 2

7x² - 6x + 4

Answer:

36

Step-by-step explanation:

Answer:

9 . (4)

10 . 17

Step-by-step explanation:

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Answer: segment

Step-by-step explanation:

Answer:

B. Segment

Step-by-step explanation:

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

---------------------

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

The claim that Stock A is worth $74.93 more than Stock B is accurate regarding the value of his investments after 4 years is

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Answer:

10/52 or when reduced, is 5 over 26 (5/26) and if they want it as a percent, its 19% (.19)

Answer:

5/26

Step-by-step explanation:

Answer:

m∠2=78°

Step-by-step explanation:

∡2=90°-∡1=90°-12°=78°, therefore ∡2=78°

The measure of ∠2 is 78°.

We have two angles ∠1 and ∠2 which are complementary angles such that ∠1 = 12°.

We have to find the measure of ∠2.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

∠X + ∠Y = 90

According to the question, we have -

The measure of angle ∠1 = 12°.

Assume that the magnitude of ∠2 is x.

Then -

∠ 1 + x = 90°

x = 90° - ∠1

x = 90° - 12°

x = 78°

Hence, the measure of ∠2 is 78°.

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Answer:

C

Step-by-step explanation:

They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39

39/3=13

Final answer is C

Answer: 1. -5 because what you do on the left you do on the right

2. i believe it’s a disjuction bc its true if at least one of the statements that form it is true.

Answer:

D)306.25 A)307 B)70 c)69. 09 from here 1 is answer

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

Answer:

D) 269.3

Step-by-step explanation:

Rectangular prism volume:

V = whl

V = (12.1)(5.3)(4.2)

V = 269.346

Answer:

The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid

The volume of the solid figure = 15×5×5 + 5×5×10

Or, The volume of the solid figure = 375 + 250

Or, The volume of the solid figure = 625 inch³

Therefore, the volume of the solid figure = 625 inch³

Step-by-step explanation:

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Answer:

3 x-y=5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

9 and 2: 1

10 and 4: 2

Step-by-step explanation:

9: 1, 3, 9

2: 1, 2

Answer: 1

10: 1, 2, 5, 10

4: 1, 2, 4

Answer: 2

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

Answer:

AFB + BAF and CED + CDE

Step-by-step explanation:

complementary angles are two angles that add up to 90°

62 and 28 add up to 90

50 and 40 add up to 90

Answer:

R'={(3,4)(4,5)(5,6)}

Step-by-step explanation:

R={(4,3)(5,4)(6,5)}

R'={(3,4)(4,5)(5,6)}