The value of a is gotten from the equation 5a - 4 = 3a + 14 which gives a = 9
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Y is between X and Z, hence:
XZ = XY + YZ
XY= 3a, XZ=5a-4, and YZ = 14, therefore substituting gives:
5a - 4 = 3a + 14
a = 9
The value of a is gotten from the equation 5a - 4 = 3a + 14 which gives a = 9
Find out more on equation at: brainly.com/question/2972832
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Answer:
A=Pe^(rt)
Fill in principal, rate as a decimal and time in years. Use 'e' on the calculator.
$449.58
Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation:
<span>For 1 sale, an employee earns 1 tokens.
For 2 sales, an employee earns 6 tokens.
For 3 sales, an employee earns 12 tokens.
For 4 sales, an employee earns 19 tokens.
</span>
For the answer to the question above,
Suppose that for x sales the number of tokens the employee earns is:
ax^3 + bx^2 + cx + d
Therefore:
a(1^3) + b(1^2) + c(1) + d = 1
a(2^3) + b(2^2) + c(2) + d = 6
a(3^3) + b(3^2) + c(3) + d = 12
a(4^3) + b(4^2) + c(4) + d = 19
Therefore:
a + b + c + d = 1
8a + 4b + 2c + d = 6
27a + 9b + 3c + d = 12
64a + 16b + 4c + d = 19
Solve that to get:
a = 0
b = 1/2
c = 7/2
d = -3
Therefore, the formula is:
(1/2)x^2 + (7/2)x - 3
You multiply all the numbers together