To solve the given problem, we need to know the types of US coins. The given problem is one of the tricky problems. So lets find out
In the united states, there are six types of coins produced. Penny- 1 cent, nickel- 5 cents, dime- 10 cents, quarter- 25 cents, half dollar- 50 cents and dollar- 100 cents. So u should know these types to slove this know lets move on to the :
Answer and Explanation:
The given problem is a kind of a riddle. It is given that the total of two US coins is
30
cents.
One is not a nickel, But the other one can be a nickel=
5
cents. So, the first one coin is a quarter=
25
cents. Which gives the total
30
cents.
Therefore, the two coins are a nickel and a quarter.
<h3> Hope you understood it!!!</h3>
The ending balance in the account is $18,937.5
Step-by-step explanation:
Simple Interest Equation (Principal + Interest) is A = P(1 + rt), where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal)
- t is the time the money is invested or borrowed for
Dylan deposited 15,000 in an account that pays 7.50% simple interest for 3.5 years. We need to find the ending balance in the account
∵ Dylan deposited 15,000 in an account
∴ P = 15,000
∵ The account pays 7.5% simple interest for 3.5 years
∴ r = 7.5% = 7.5 ÷ 100 = 0.075
∴ t = 3.5
- Substitute all of these values in the rule above
∴ A = 15,000(1 + 0.075 × 3.5)
∴ A = 15,000(1 + 0.2625)
∴ A = 15,000(1.2625)
∴ A = 18,937.5
The ending balance in the account is $18,937.5
Learn more:
You can learn more about interest in brainly.com/question/11149751
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Okay, so, to solve these inequalities, your goal is to get the variable equal to one number, so let's take a look at the first problem:
-3 / 4x < 12,
to get rid of the numbers attached to the variable 'x', you would divide the numbers, since, the original is multiplying with x, you would do the opposite, and the opposite of multiplication, is division.
So, now our equation is, - 3 / 4x divided by - 3 / 4, which would leave X by itself, then we have to do that same thing to the 12, which would be, 12 divided by - 3 / 4, which would equal, 16.
-3 / 4 < 12
÷ - 3 / 4 ÷ - 3 / 4
_____________
X > 16
Now, our equation is X > 16, which is the answer, to problem number one.
(Also a quick note, when you divide by a negative, the inequality symbol flips, for example, when we divided by -3 / 4, our inequality symbol changed from the less than symbol, to the more than symbol.)
___________________________________
Let's take a look at problem number two:
13c < -169,
Okay, so, again, you're trying to get C by itself. The number 13 is multiplying with C, so, you need to do the opposite, and divide, so you can get C by itself.
13c divided by 13 equals C
13c/13 = C
and
- 169 divided by 13, equals, -13,
So, the answer is, C < -13
Or,
13c < - 169
÷ 13 ÷ 13
__________
C < - 13
___________________________________
Let's take a look at problem number 3:
5B - 28 > 27,
Okay, so now, we have another number on the same side as B, so, we get rid of that first, it's subtracting, so now we do the opposite, and add it to the other side.
5B - 28 > 27
+28 +28
__________
5B > 55
Now, we divide both sides by 5:
5B > 55
÷5 ÷5
_______
B > 5
___________________________________
Now, Let's take a look at problem number 4:
3x - 7 > 4x + 2,
okay, so, we have multiple steps to take with this equation.
First, we want to get X by itself, so, we have to get rid of the -7, so, we do the opposite, and the opposite of subtracting, is adding.
3x - 7 > 4x + 2
+ 7 + 7
___________
3x > 4x + 9
Now, you only want to have one number with X, per equation, so, you need to move 4x to the other side, the way we do that, is by subtracting 4x.
3x > 4x + 9
-4x -4x
__________
-1x > 9
We can't have a negative number attached to the x, because that's like having a negative X, so, we have to divide one more time.
-1x > 9
÷-1 ÷-1
_______
Since, we are dividing by a negative, the inequality sign is going to flip, which would make the answer:
X < -9
___________________________________
I hope this helps!
