Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4​

Answer:

The answer would be A

Step-by-step explanation:

Answer:

e) 14

Step-by-step explanation:

(18-n)/2 = 2

18-n = 4

-n = -14

n = 14

The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.

The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.

Given:

When a number n is subtracted from 18

=(18- n)

and, the difference is divided by n

=(18 - n)/n

so, result is 2

(18 - n)/n = 2

18 - n = 2n

3n = 18

n= 18/3

n= 6

Hence, the value of n is 6.

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Answer:

128 grains.

I think so..

Step-by-step explanation:

SEE the image for solution.

HOPE it helps

Have a great day

Answer:

Step-by-step explanation:

[tex]u_1=1=2^0\\u_2=2=2^1\\u_3=4=2^2\\u_4=8=2^3\\\\...\\u_{64}=2^{63}\\\\we\ must\ calculate\\\\u_1+u_2+u_3+u_4+...+u_{64}\\\\=1+2^1+2^2+2^3+2^4+....+2^{63}\\\\=\dfrac{2^{64}-1}{2-1} \\\\=2^{64}-1\\\\=18446744073709551615\\\\=1.8446744073709551615*10^{19}[/tex]

Answer:

It equals 2900 decigrams

Step-by-step explanation:

29 dekagrams = 290 grams

290 grams = 2900 decigrams

Therefore, 29 dekagrams = 2900 decigrams

The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.

To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.

Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:

[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]

Cross-multiplying:

[tex]\(29x = 290 \times 1\)[/tex]

Solving for x:

[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]

Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.

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Complete Question:

If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?

Answer:

f(x) = -(7x) + 8

Step-by-step explanation:

The negative on the outside reflects over the x-axis.

The 7 on the inside stretches the function vertically.

The +8 on the outside moves the function up 8.

Answer:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.

I hope this helps :). If you have any questions let me know. Have a good day.

9514 1404 393

Answer:

  91

Step-by-step explanation:

√7653 is about 87.48

The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...

  7744 -7653 = 91

Adding 91 to 7653 will make it a perfect square.

Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]

Answer:

25.04

Step-by-step explanation:

26.12-1.08

=25.04

Answer:

25.04

Step-by-step explanation:

For this problem we have to use subtraction

If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time

So we get 25.04

Hope this helps! :D

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Answer:

x > 9

Step-by-step explanation:

since the dot is open there won't be a line under

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

Answer:

The cover has diameter of:

a.

Area of the pool cover:

b.

The length of the rope:

Answer:

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!

Answer:

32π in

= 100.48 in.

Step-by-step explanation:

From Area:

radius, r = √(A/π)

= √(256 π in²/π)

= 16 in

where π = 3.14

》 Circumference = 2π(r)

= 2π(16)

= 32π in.

= 100.48 in

Answer:

1/2 =x

Step-by-step explanation:

9/x + 2 = 20

Subtract 2 from each side

9/x + 2-2 = 20-2

9/x =18

Multiply each side by x

9/x *x = 18*x

9 = 18x

Divide each side by 18

9/18 = 18x/18

1/2 =x

Answer:

2 1/5

Step-by-step explanation:

Answer:

19/40

Step-by-step explanation:

mark meeeeeee

The possible value of the other number will be 7√32. The correct option is D.

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.

It is given that the first number is 3√2 the value of the second number will be:-

Rational number  = 3√2 x 7√32

Rational number  = 21√64

Rational number  = 21√( 8 x 8 )

Rational number  = 21 x 8

Rational number  = 168

Therefore, the possible value of the other number will be 7√32. The correct option is D.

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A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)

-10.40 is a withdrawal

8.50 is a deposit

Answer:

Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.

-10.40

See there is a negative sign. This means it is a withdrawal

8.50

See there is a positive sign. This means it is a deposit

Answer:

b. 4 - 5 < 4 - 3

Step-by-step explanation:

a. 70 < 7 - 3

   70 < 4

false, 70 is not greater than 4

b. 4 - 5 < 4 - 3

   - 1 < 1

true, 1 is greater than -1

c. 5 - 2  < 5 -3

    3 <  2

false, 2 is not greater than 3

d. 25223

?

hope this helps! if you have any questions, let me know!

Answer:

Step-by-step explanation:

is this involved with the pythagorean angles?\

Assuming 120 is a base 10 numeral, then

120 = 100 + 20 = 4×5² + 4×5¹

so you have

120₁₀ = 440₅

Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2

bronze click per second is 9.5 38/4

crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently

clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2

emeralds time is 0.40 3/.40 or 3/0.40

clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )

There are about (9) toolkit functions and some of these toolkit functions :

The common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well.  while the only Toolkit function with a defined range is the Constant function { a, a }

The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.

Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.

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Answer:

The constant Function

Answer:

Answer is Triangle P'R'Q' is larger, explain how you know is steps

Step-by-step explanation:

So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5

So triangle PRQ is the smaller version of P'R'Q' because

Line PR  = 3.1

Line RQ = 3.9

Line QP = 5

Multiplying these by 1.5 you get

Line P'R' = 4.65

Line R'Q'= 5.85

Line Q'P' = 7.5

Answer:

a = -9

Step-by-step explanation:

8a=4(a-9)

Divide each side by 4

8a/4=4(a-9)/4

2a = a-9

Subtract a from each side

2a-a = a-9-a

a = -9

Answer:

-9

Step-by-step explanation:

8a = 4(a-9)

Use the distributive property (Multiply 4 times a, and 4 times -9)

8a = 4a - 36

Bring the 4a to the other side

8a - 4a = -36

Add like terms

4a = -36

Divide both sides by 4 to get a by itself

a = -9

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

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