Answer:
C
Step-by-step explanation:
the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time
we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)
substitute that value into the formula to get:
A=2000(1+rt)
we also know the rate, which is 5% and the time, which is 18
5%=0.05 (we need it as a decimal)
so substituting the values into the equation:
A=2000(1+0.05*18)
A=2000(1+0.9)
A=2000(1.9)
A=3,800
therefore the answer is C
Hope this helps!
Answer:
k = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-84 = -2(2 + 5k)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Divide -2 on both sides: 42 = 2 + 5k
- Isolate <em>k</em> term: 40 = 5k
- Isolate <em>k</em>: 8 = k
- Rewrite: k = 8
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: -84 = -2(2 + 5(8))
- Multiply: -84 = -2(2 + 40)
- Add: -84 = -2(42)
- Multiply: -84 = -84
Here we see that -84 does indeed equal -84.
∴ k = 8 is the solution to the equation.
Answer: c. -2.15
Step-by-step explanation:
As per given we have:
Null hypothesis :
Alternative hypothesis :
let p be the proportion of firms in the manufacturing sector offer child-care benefits
A random sample of 390 manufacturing firms is selected and 295 of them offered child-care benefits.
sample size : n= 390
sample proportion : 
Test statistic for proportion :

Substitute the values , we get



Hence, the value of test statistic = -2.15
Correct option is c. -2.15 .
C.
Since it is flipping vertically, it is going OVER the x-axis which is the axis that runs horizontally.
Answer:
m=0.25
Step-by-step explanation:
m = (y_2-y_1)/ (x_2-x_1)
Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)
m = (1-2)/(0-4) = 1/4 or 0.25