The linear relationship should be
AGE
16 ,17 ,18 ,19 ,20
162,171,180,189,198
WEIGHT
His weight should be going up 9 pounds per birthday
Answer:
The value of 7 in 678,901 is 10 times greater than the value of 7 in 67,890
Step-by-step explanation:
step 1
we have
678,901
Write in expanded form
678,901=600,000+70,000+8,000+900+1
The value of 7 is 70,000
step 2
we have
67,890
Write in expanded form
67,890=60,000+7,000+800+90
The value of 7 is 7,000
step 3
Divide 70,000 by 7,000
therefore
The value of 7 in 678,901 is 10 times greater than the value of 7 in 67,890
Answer:
$0.25r + $5 = $12.50
Step-by-step explanation:
r represents the amount of rides Lacy went on during the day. If you do the problem in the correct order, you will get the answer
Step 1)
Subtract 5 from both sides
$0.25r + 5 (-5) = 12.50 (-5)
Step 2)
Divide by 0.25
0.25r (Divided by 0.25) = 7.50 (Divided by 0.25)
Step 3)
Answer
r = 30 rides
Answer:$3,700
Step-by-step explanation:
Gross sales are the total amount of sales a company earned throughout a specific period of time, without taking into consideration any costs involved with running a business. Gross sales do not factor in expenses related to running a business, also known as cost of goods sold (COGS), which get deducted when calculating net sales. For example, they do not account for costs associated with item production, employee wages, building rent, returns, theft or sales tax.
Gross Sales = $3,700
Answer:
Left: The substance is decreasing by 1/2 every 12 years
Right: The substance is decreasing by 5.61% each year
Step-by-step explanation:
exponential decay
A = P(1-r)ᵇⁿ, where A is the final amount, P is the initial amount, r is the rate decreased each time period, b is the number of years, and n is the number of times compounded each year
let's write each formula in terms of this
left:
f(t) = 600(1/2)^(t/12)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1/2 -> r = 1/2
t/12 = bn -> b = number of years = t, so bn = b/12 -> n = 1/12. Thus, it is compounded 1/12 times each year, so it is compounded every t*12 = 12 years. If it was compounded each month, it would be compounded 12 times a year
Thus, this is decreasing by a rate of 1/2 each 12 years
right:
f(t) = 600(1-0.0561)^(t)
matching values up...
A = P(1-r)ᵇⁿ
A = f(t)
P = 600
1 - r = 1 - 0.0561 -> r = 0.0561 = 5.61%
t = bn -> b = number of years = t, so bn = b -> n = 1. Thus, it is compounded annually (1 time each year)
Thus, this is decreasing by a rate of 5.61% each year
