Answer:
$3474.25
Step-by-step explanation:
Use the compound amount formula A = P(1 + r)^t. Here r is the rate as a decimal fraction and is -0.15. t represents the number of y ears. P is the initial value of the car.
Then: A = ($15,000)(1 - 0.15)^9, or
A = ($15,000)(0.85)^9 = $3474.25
Using equations to solve the word problem, Katherine's age is 8 years
<h3>Word Problem</h3>
Word problem are often mathematical problem that are represented in words and sometimes can be solved using an equation.
To solve this problem, we have to represent the problem using mathematical equations;
Let;
Katherine's age = x²
Alexandra = 5(x + 1)
Sum of their age = 109
5(x + 1) + x² = 109
5x + 5 + x² = 109
x² + 5x - 104 = 0
Solving for the equation; x = 8
Katherine's age is 8
Learn more on word problem here;
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Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns
The number of columns in matrix A (which is 2) does not match up with the number of rows in matrix B (which is 3).
So the matrix multiplication A*B is undefined. We cannot multiply the matrices.
Answer:
x=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Answer choice B
Step-by-step explanation:
There are two possibilities; in the first, the first digit is below 5, in the second, it is above. The probability of the first possibility is 3/8, because there are 3 possible digits below 5 and 8 total digits. In this scenario, the chance of the second digit being below 5 is 2/7, because one of the digits is taken. In the other possibility, which has a chance of 5/8, the probability of choosing a number below 5 is 3/7, since all of them are still available. Doing the arithmetic, you find that the total probability is 2/7. Hope this helps!