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Answer:

$5,050.00

Step-by-step explanation:

Principal: $4,000

rate: .0525

time: 5 Years

Interest:

I = Principal * rate * time

I = $4,000 × 0.0525 × 5 = $1,050.00

Total balance:

Principal + Interest

$4,000 + $1,050.00 = $5,050.00

Answer:

You got the answers correct.

Step-by-step explanation:

i is equal to the square root of -1. This is helpful to know because you have to sort of "take out" the negative square root of 1 before simplifying these. the square root of negative 12 is the same thing as the square root of -1 times the square root of 12. Since i is the square root of -1, you can replace that part with i. So, it is i times the square root of 12. We can simplify the square root of 12 by doing the square root of 4 times 3, which is 2 root 3, like you were saying. Then, this value is multiplied by i, so the final answer is 2i (root) 3. This same thing applies to the second portion. The square root of 45 is 3 root 5, and you have to multiply that by i since it is a negative square root. Therefore, that is 3i (root) 5. Comment on my answer if you need a further clarification:)

Answer:

105 = a

Step-by-step explanation:

L = a + (n-1)*d

n = 65

d = -2

L = u21 = 65

65 = a + (21 - 1)*(-2)        Divide by - 2

65 = a + 20*-2               Multiply 20 times - 2

65 = a  - 40                    Add 40 to both sides

65+40 = a                      Combine

105 = a

The value of the first term is 105

The nth term of an arithmetic sequence is gotten by using the formula:

= a + (n - 1)d

The value of the 21st term which has been given in the question is 65 and the common difference is -2. This will be:

a + (n - 1)d = 65

a + (21 - 1)d = 65

a + 20d = 65

Since d, common difference = -2

a + 20d = 65

a + 20(-2) = 65

a - 40 = 65

a = 60 + 45

a = 105

In conclusion, the value of the first term is 105

Read related link on:

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Answer:

See explanation

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1} )\\y+2 =\frac{-1}{2} (x-1} )\\y+2=-\frac{1}{2} x+\frac{1}{2} \\y=-\frac{1}{2} x-1\frac{1}{2}[/tex]

You want a slope that is the opposite reciprocal of the original

Let, after t hours costs are the same.

Mathematical equation of charges taken by first studio :

[tex]y=45+8.5t[/tex]

Mathematical equation of charges taken by second studio :

[tex]y=27.59+11t[/tex]

So,

[tex]45+8.5t=27.59+11t\\\\2.5t=17.41\\\\t=6.964\ hours[/tex]

Therefore, after 6.964 hours cost of both studio is same.

Hence, this is the required solution.

Answer:

-49.5 square feet

Step-by-step explanation:

Found the area of 6 x -7.5 = -45

-45 x .10 (10%)= -4.5

-45+-4.5=-49.5

Answer:

1. 4 is missing

2. 283 is a odd number

3. 23

4. no idea

5. D

6. A

I cant see the rest

Step-by-step explanation:

Answer:

Step-by-step explanation:

x intercept the coordinate : (-4,0)

y intercept coordinate(0,3)

y=mx+b

y=b=3 when x=0

m=3-0/0+4

m=3/4

y= 3/4 x +3

-3/4 x+y=3

Answer:

x=-7/3y+4

Step-by-step explanation:

3x+7y=12

-7y       -7y

3x=-7y+12

/3       /3

x=-7/3y+4

Answer:

X=4

Step-by-step explanation:

You make y 0 to find x so

3(4) + 7(0) =12

12+0=12

Answer:

5 & 6.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Data set for 18 trials, time in ms

Put the numbers in ascending order

Get the index

For 40% it is

For 75% it is

Answer:

D. Slope A is positive and slope B is negative

Step-by-step explanation:

The slope of function A is 1/4. This number is positive as it has no negative sign at the front.

To find the slope of function B, you have to sub in two points into the slope formula.

Answer:

it is a 90*

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

36 sour candies

Step-by-step explanation:

Because we know that there are four sour candies to every 5 chocolates, we know the bag can be divided up into ninths, four of those ninths being sour and 5 of those ninths being chocolate. One ninth of 81 is 9, so we know that one ninth is equivilant to nine candies. Because four ninths of the bag are sour, we can multiply one ninth by four to get the final answer. 9*4 is 36, so there are 36 sour candies in the bag

Answer:

the missing exponent is 2

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

first, combine like terms. this results in 8x+5=45

subtract 5 on both sides

8x=40

divide by 8 on both sides

x=5

final answer^^

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

4x + 2 + 4x + 3 = 45

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

4(5) + 2 + 4(5) + 3 = 45

20 + 2 + 20 + 3 = 45

22 + 23 = 45

45 = 45

Answer:

In order for a product to be even, at least one factor must be even (so that the product is divisible by 2). The minimum number of even integers she could have chosen is 1, so the maximum number of odd integers she could have chosen is 4 :)

Answer:

4

Step-by-step explanation:

Answer:

2x² + 32x + 22

Step-by-step explanation:

Given parameters:

  Length = (x-1)

  Width  = (x + 3)

   height  = 7

Unknown:

Express the surface area in terms of polynomial = ?

Solution:

The surface area of a rectangular prism is expressed as;

     Surface area = 2(lw + lh + wh )

Insert the parameters:

       Surface area = 2 [(x-1)(x + 3)+ (x - 1)(7) + 7(x+3)]

        Surface area = 2[x²+ 3x -x -3 + 7x - 7 + 7x + 21]

        Surface area = 2(x²+ 3x-x+7x+ 7x - 3 - 7+ 21)

        Surface area = 2(x²+ 16x + 11)

        Surface area = 2x² + 32x + 22

Answer:

0

Step-by-step explanation:

Anything times zero, is zero.

Answer:

24 runners finish the race

Step-by-step explanation: 1/5 of 75 =15

75 - 15 =60

3/5 of 60 = 36

60 -36 =24

Answer:

C. (-2,1)

Step-by-step explanation:

the answer is where the two points intersect

Answer:the answer is (-1,2)

Step-by-step explanation:

Answer:

∠ 2 = 86°

Step-by-step explanation:

Vertical angles are congruent, thus equating gives

20x - 14 = 17x + 1 ( subtract 17x from both sides )

3x - 14 = 1 ( add 14 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Thus

∠ 2 = 20x - 14 = 20(5) - 14 = 100 - 14 = 86°

The measure of ∠2 is 86°.

The given vertical angles are ∠1=(17x + 1)° and ∠2=(20x - 14)°.

We need to find the value of ∠2.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other. Vertically opposite angles are equal to each other.

Now, 20x - 14 = 17x + 1

⇒20x-17x=1+14

⇒3x=15

⇒x=5

So, ∠2=(20x - 14)°=86°

Therefore, the measure of ∠2 is 86°.

To learn more about the vertical angles visit:

https://brainly.com/question/10668231.

#SPJ2

9514 1404 393

Answer:

  (x, y) ⇒ (x -8, y +2)

Step-by-step explanation:

Each image point is 8 units left of the preimage point. The only answer choice that subtracts 8 from each x-coordinate is the one shown in the attachment.

Answer:

27

Step-by-step explanation:

1+17=18 and then 18+9=27

Answer: 27 years old

Step-by-step explanation: 1 + 17 = 18. He is 18 years old now.

18 + 9 = 27. He will be 27 years old then.

Answer:  $24.99

Step-by-step explanation:

Answer:

he he he h wey wey de e hey el uy 52cm

Answer:

Step-by-step explanation:

Length =6cm; width 7