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DiKsa [7]
3 years ago
13

How much more will $22,000 earn in interest than $14,000 if both are invested in savings accounts with APYS of 5.4% for a year?

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0
Total = Principal * (1 + rate) ^ year
Total = 22,000 * (1.054)^1 = 23,188.00

Total = 14,000 * (1.054)^1 = 14,756.00

23,188.00 - 22,000 = 1,188.00 interest
14,756.00 - 14,000 = 756.00 interest

So the 22,000 earns (1,188.00 -756.00) = 432.00 more dollars in interest than the 14,000 dollars earns in interest.
 


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Evaluate the expression \dfrac{5\cdot x^3}{x^2} x 2 5⋅x 3 ​ start fraction, 5, dot, x, cubed, divided by, x, squared, end fracti
Fantom [35]

Answer:

10

Step-by-step explanation:

Given the expression:

(5 * x³) / x² ; for x = 2

Simplifying (5 * x³) / x²

5 * x^(3-2)

5 * x^1

= 5x

For x = 2

5x = 5*2 = 10

8 0
3 years ago
Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
What is the solution to the system of equations below?
kifflom [539]

Answer:

(-5,-14)

Step-by-step explanation:

To find the solution of the system of two equations

\left\{\begin{array}{l}y=4x+6\\y=2x-4\end{array}\right.

equate right sides of these two equations:

4x+6=2x-4

Rewrite terms with x into the left side and without x into the right side:

4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5

Substitute x=-5 into the first equation:

y=4\cdot (-5)+6=-20+6=-14

The solution is (-5,-14)

4 0
3 years ago
What time is 7 1/2 hours before 2:12 am
Vlad1618 [11]
6:42 pm bc subract 2 hours is 12:12am and then subtract the rest is 7:12pm then you subract 12 minutes is 7 pm the subtract the 18 minutes left is 6:42 pm
4 0
3 years ago
the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^
Marianna [84]

9514 1404 393

Answer:

  • domain: x < -2
  • range: y > 1

Step-by-step explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

__

The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.

8 0
3 years ago
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