Sam invests a sum of money in a retirement account with a fixed annual interest rate of 7%
compounded quarterly. After 13 years, the balance reaches $19,280.02. What was the amount of
the initial investment? ROUND YOUR ANSWER TO THE NEAREST DOLLAR (do NOT put a dollar
sign $ in your answer)

Answer:

x = 1

y = -3/2

Step-by-step explanation:

Step 1: Arrange the equations with like terms in column.

Step 2: You want 1 set of coefficients that are opposites. This problem already has opposites: -2y and +2y.

Step 3: Solve for x.

4x-2y=7

3x+2y=0

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

7x = 7

x = 1

Step 4: Substitute the value of x and solve for y.

4(1)-2y=7

4-2y=7

-2y=7-4

-2y=3

y=-3/2

Answer:

648

Step-by-step explanation:

[tex]3^4 \cdot 2^3 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 2 \cdot 2 \cdot 2 = 81 \cdot 8 = 648[/tex]

Answer:

648

Step-by-step explanation:

Step 1:

First, make an equation:

3⁴ · 2³

Step 2:

Then, simplify both factors:

3⁴ = 81

2³ = 8

Step 3:

Finally, multiply the numbers together:

81 · 8

And you will get 648.

Answer:

the answer is -2.1

Step-by-step explanation:

you get this by putting that -4 where the x is and solving so it would look something like this

1.7x+4.7    for x= -4

1.7(-4) + 4.7

-6.8 + 4.7

-2.1

Answer:x = -12

Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>

Answer:

x=−12

Step-by-step explanation:

can you mark me as branlest if right

Answer:

x2 + 12x + 4x + 48

Step-by-step explanation:

i just took the assignment

Answer:

x2 + 12x + 4x + 48

Step-by-step explanation:

this is correct i took the quiz its c

Answer:

2016

Step-by-step explanation:

To solve this problem, let us find the prime factors of the given numbers:

             96

        8   x    12

  2 x 2 x 2      2 x 2 x 3

              2⁵ x 3

             144

       12     x      12

  2 x 2 x 3       2 x 2 x 3

              2⁴  x 3²

                126

        2       x       63

      2                  7 x 9

     2                 3 x 3 x 7

            2 x 3² x 7

So, the lowest common multiple  =  2⁵ x 3² x 7  = 2016

Answer:The teller gave him 14 five-dollar bills and 10 ten-dollar bills.

Step-by-step explanation:The bank teller gave him 24 dollar bills worth $170 so 14 five-dollar bills plus 10 ten-dollar bills will give you 24 dollar bills.

It's 2.6 units long. You just use the ruler on it.

Answer:

I JUST DID THE TEST ON EDGE. The answer is: A (0) C (9x2y) And E (4xy3)

Step-by-step explanation:

I hope this helps!!!

Answer:

the answer is a , c e :)

Step-by-step explanation:

Answer:

The closets number to the Square root of 54 is √54

√54 = 7.348...

→ The closest WHOLE number to the square root of 54 is 7. The closets number to the Square root of 54 is √54

Answer:

5 months

Step-by-step explanation:

9/3=3

15/3=5

Answer: for the first one it is +1

for the second one it is +3

for the third one it is +7

for the 4th one it is +13

and for the fifth one it is +21

Answer:

7-9 you need to plug numbers into the formula y= mx+b where you plug the plots in M and B.

Step-by-step explanation:

I don't have a graph to plot 1-3 on but all you need to do is plot them and answer if they are parallel, perpendicular, or neither. (The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.) (In math, parallel means two lines that never intersect — think of an equal sign.) And if they don't fit either then its NEITHER

Answer:

C

Step-by-step explanation:

4.5/32=x/54

Answer: 0.17 or not rounded, 0.17175572519.

Step-by-step explanation: 6 x 3 x 2.5 = 45, now we just need to divide 45 by 262, so 45/262 = 0.17175572519, or rounded, 0.17.

Hope this helps! :)

Answer:

x = 23

Step-by-step explanation:

180 - 42 = 138

138/6 = 23

x = 23

==========================================

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

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

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

Answer:

39

Step-by-step explanation:

Answer:

r ≤ -5 and r ≥ 1

Step-by-step explanation:

The solution has two parts:

1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive.  Then:

                   2 + r ≥ 3, or r ≥ 1

and

that derived from | 2 +r | ≥ 3 when (2 + r) is negative.  If (2 + r) is negative, then

|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3.  Therefore, -2 -r ≥ 3, or -r ≥ 5.  To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign:  r ≤ -5

Answer:

m=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

M=14

Step-by-step explanation:

So distribute first

9m-27+3m=7m+43

Combine like Terms

12m-27=7m+43

Subtract 7m on both Sides

5m-27=43

Add 27 on both sides

5m=70

Iso,ate variable by dividing 5 on both sides

m=14

Answer:

143.29

Step-by-step explanation:

[tex]\frac{14329}{100}[/tex]

[tex]\frac{14329}{100}[/tex]

<3 Red

Answer:

-26= 15 x -15

Step-by-step explanation:

Sorry the question wasn't really clear??

Answer:

(-13)^2= (15* -11 + -4) = -169

Step-by-step explanation:

Replace all occurrences of + − with a single − . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign

because1 x −1 = −1

(−13)^2=15 x −11 −4

Raise − 13 to the power of 2 .

169=15 x −11 −4

Multiply 15 by −11.

169 = −165 − 4

and finally Subtract 4 from−165.

169 = −169

if its (-13)^2 / (15*-11+-4) as the orginal post did not say divided, the answer would be -1 hope his helps.

Answer:

Given that only the first digit and a range of four possible numbers for the second digit of the four digit pin number are remembered, the number of different possible combinations are 400 (possible combinations)

Step-by-step explanation:

The given information are;

The number of digits contained in the pin = 4 digits

The number of digits that can be the first number = 1 (given that the first digit is 4)

The number of digits that can be the second number = 4 (6, 7, 8, or 9)

Therefore, we have;

The number of digits that can be the third number = 10 (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9)

Similarly, the number of digits that can be the fourth number = 10

Therefore, the total number of possible combinations are;

1 × 4 × 10 × 10 = 400 possible combinations.

Answer:

Brainiest would be appreciated

High Hopes^^

Barry-

Answer:

The answer is shown below.

Hope this helps!

Answer:

6^10

Step-by-step explanation:

6^0 is essentially just 1. So 6^10 x 1 is 6^10.

Answer:

6^10

Step-by-step explanation:

When multiplying exponents with the same base number, you simply add the exponents and keep the bases the same

a^m * a^n = a^m+n

6^10 * 6^0 = 6^10+0

You can also look at it this way:

Any non-zero number to the power of 0 will ALWAYS equal 1

a^0=1

6^10 * 6^0 = 6^10 * 1 = 6^10

Answer:

y=-3x+4

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.

For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet