The answer is $1219
Interest = Total amount * interest rate * time (
I=prt is the formula for calculating interest)
In this case,
Total amount = $1200
Interest rate= $ 0.19
Time span for which interest rate is being calculated= 1/12
(since the rate is yearly and we are calculating interest for a month)
Interest = 1200*0.19*1/12 = 19
So the total amount owned by family at the end of one month
= original amount + interest = $1200 +
$19 = $1219
The range of a function are the dependent variables for which the function exists. The range of the function will be y ≥ 5
<h3>Range of a function</h3>
The range of a function are the dependent variables for which the function exists
Given the function below;
f(x) = √x+7 + 5
The function can only exist for values less than or equal to -7 that is x ≤ -7.
Substitute
f(-7) = √-7+7 + 5
f(-7) = 5
The range of the function will be y ≥ 5
Learn more on range here: brainly.com/question/2264373
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Answer:120
Step-by-step explanation:
calculate the sum of the negetive numbers 3x-40
=120
Answer:
<em>79,920 different ways</em>
Step-by-step explanation:
Combination has to do with selection:
If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.
10C3 = 10!/(10-3)!3!
10C3 = 10!/7!3!
10C3 = 10*9*8*7!/7!3!
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 ways
Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;
37C2 = 37!/(37-2)!2!
37C2 = 37!/35!2!
37C2 = 37*36*35!/35!*2
37C2 = 37*36/2
37C2 = 37 * 18
37C2 = 666 ways
<em>Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666</em>
<em> 120 * 666 = 79,920 ways</em>
Answer:
-6
Step-by-step explanation:
The y-coordinate of B is 2. Adding -8 to it makes the y-coordinate of B' be -6.
2 -8 = -6