The balance, B, in dollars, after T years of an investment that earns interest compounded annually is given by the function B(t) = 1500(1.045)^t .To the nearest hundredth of a percent what is the monthly interest rate for the investment?

A) 4.50%
B) 3.67%
C) 0.37%
D) 69.59%​

Answer:

a. 37.5

b. 75%

c. 64%

d. 43.75%

Step-by-step explanation:

a. [tex]\frac{3}{8}[/tex] = [tex]\frac{x}{100}[/tex]

Cross multiply

8x = 3(100)

8x = 300

x = 37.5

37.5%

b. [tex]\frac{9}{12}[/tex] = [tex]\frac{x}{100}[/tex]

Cross multiply

12x = 9(100)

12x = 900

x = 75

75%

c. [tex]\frac{16}{25}[/tex] = [tex]\frac{x}{100}[/tex]

Cross multiply

25x = 16(100)

25x = 1600

x = 64

64%

d. [tex]\frac{42}{96}[/tex] = [tex]\frac{x}{100}[/tex]

Cross multiply

96x = 42(100)

96x = 4200

x = 43.75

43.75%

Answer:

C option

Step-by-step explanation:

bcz root of 121 is 11. then 2/3 +11 will give you a rational number.

Answer:

2/7 + square root of 121 (the third one)

Step-by-step explanation:

a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)

the equation simplified a bit looks like this:

2/7 + 11/1

anddd so all the numbers are integers which means that expression is correct :3

Answer:

x = 10

Step-by-step explanation:

Diagonals of a rhombus bisect each other at a 90° angle, but most importantly (for this problem), they bisect the opposite angles of the rhombus equally.

This means that the two angles, given by the expressions (6x + 12) and (8x - 8), are equal to each other.

Set them equal to each other in an equation and solve for x.

Subtract 6x from both sides.

Add 8 to both sides.

Divide both sides by 2.

The value of 10 for x will make the given parallelogram a rhombus.

Answer:

it's C.

Step-by-step explanation:

make it braintliest please

Answer:

590,088

Step-by-step explanation:

So you divide 156,200 by 4.5 then once you have that times it bye the 17 years I think

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y intercept

y and x in the equation represent the coordinate points (3,1)

so substituting,

y = -2x + b

1 = -2(3) + b

1 = -6 + b

b = 7

so the final equation is,

y = -2x + 7

Answer:

No

Step-by-step explanation:

The height of the chair can be represented as a function of the height of table, if there is a constant variation between both heights. That is as one height increases, the other height decreases at the same proportion.

From the table, as the table height increases from 71 to 72 to 74 to 75, the chair height increases from 42 to 43 to 44 to 46. There is a direct variation but it is not constant. From 71 to 72, the height of table increases by 1 cm but from 74 to 75, the height increases by 2 cm.

Hence the height of the chair can not be represented as a function of the height of table

Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

the last one sorry i thought 5 was negative lol

Answer:

5 · 5

Step-by-step explanation:

2 + 2 + 2 + 2 + 2 = 10

5 + 5 = 10

2 · 2 · 2 · 2 · 2 = 32

5 · 5 = 25

Answer:

I know that the y-intercept is 5

Step-by-step explanation:

because the line goes through 5

Answer:

y = -4/5x + 5

Step-by-step explanation:

You need the equation y = mx + b

the y intercept is 5  which is b

You just need to pick any point on the line and use those coordinates to plug into the equation for x and y to solve for the slope (m)

I will use  point (5, 1)

So plugging in that coordinate and the value for b in the equation

y = mx + b is  (1) = m(5) + 5

Solve for m   m= -4/5

so plug m and b back into the equation y = mx + b

is

y = -4/5x + 5

Answer:

11 11/18

Step-by-step explanation: a quick search

Answer:

3 divided 5

Step-by-step explanation:

Edgar will get 3/5 or 0.6 part of pumpkin bread.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total numbers of people in Edgar's family = 5

Total number of pumpkin bread = 3

Since, 3 bread are divided equally among 5 people,

implies that, bread will divide in the same ratio,

5 people = 3 bread

1 people= 3/5 bread

1 people= 0.6 part of bread

So Edgar will get 3/5 or 0.6 part of bread.

To know more about Ratio on:

https://brainly.com/question/1504221

#SPJ3

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Explanation:

Sides ED and FD are the same length due to the red tickmarks.

The angles opposite these side lengths, angle E and angle F, are congruent as well. So angle F is also x.

For any triangle, the three angles always add to 180

F+E+D = 180

x+x+74 = 180

2x+74 = 180

2x+74-74 = 180-74 .... subtract 74 from both sides

2x = 106

2x/2 = 106/2 ... divide both sides by 2

x = 53

As a check,

F+E+D = x+x+74 = 53+53+74 = 180

which verifies the answer.

Answer: 62.5

Step-by-step explanation:

12.5 x 5 = 62.5

Check: 62.5 / 12.5 = 5

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + α₁ t + α₂ t ²

q(t) = β₀ + β₁ t + β₂ t ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)

… = c₀ + c₁ t + c₂ t ² + c₃ t ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β₂

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

Answer:   $1.68 per pair of socks

Step-by-step explanation:

16.80- 10 = 1.68

Answer:

3.5 Grams

Step-by-step

set 2grams/60lbs equal to xgrams/105

x representing the amount of medicine needed for a 105lb child

Then you divide 60 by 105.

60/105=1.75

Now you multiply 2 by 1.75.

2 x 1.75 = 3.5

3.5 is your answer because 105 is 1.75 times more lbs than 60lbs

meaning you would need 1.75 times the amount of 2grams

to determine the value of x, which is 3.5grams

Answer:

it c for sure

Answer:

1/2

Step-by-step explanation:

....................

Answer:

13

Step-by-step explanation:

|-20| = 20 (anything with | | is absolute value, which is always positive), |7| = 7, 20 - 7 = 13.

quick tip: when you see something like -|#|, that would be negative, but if you saw |-#|, it would be positive.

hope it helps lol

Answer:

A, C, B, respectively

Step-by-step explanation:

science(density and buoyancy)

Answer:

no their is not supposed to be any repeating x's

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer: (3)(−17.25) = −51.75; he withdrew $51.75

Step-by-step explanation:

hope it helped xx

Answer:

a 31

b 1

c she could eat it herself

I hope it helps!!!

Step-by-step explanation:

Answer:

a)  no.of chocolates each person recieved = 900/29

                                                                       = 31.03  

for second question, we have to round it to get 31 coz we want a perfect number there

b)remaining chocolates =  (31 x 29) - 900  

                                        = 899-900 = 1

c) Only one candy is left with her, so I would insist she to have that chocolate

Hope it helped u,

mark as the brainliest Celina

^v^