Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = [tex]286(1.009)^{t-1995}[/tex]
Here, t = year
a). For P = 311 million people
311 = [tex]286(1.009)^{t-1995}[/tex]
[tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
[tex]\frac{0.03639}{0.00389}=t-1995[/tex]
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
120 meals to 52 meals what is the percentage change?
hurry!!
Answer:
56.67
Step-by-step explanation:
I think it is 56.67%
Answer:
The percentage change is 56.67%.
value of x if 3x+2y=11 and 5x-y=14
Answer:
3x + 2y = 11
3x + y = 11 - 2
3x + y = 9
x + y = 9/3
x + y = 3
x = 3 - y
5x - y = 14
x - y = 14/5
x - y = 2.8
x = 2.8 + y
14Answer:
3
Step-by-step explanation:
solve for y in first equation
5x-y=14
-y=14-5x
y=5x-14
substitute y value (5x-14) into 2nd equation
3x+2 (5x-14)=11
3x+10x-28=11
13x=39
x=3
Jackson purchased $5,200 worth of electronic equipment from BetterBuy on their deferred payment plan. The plan
allows the customer to make no down payment and no payment at all for five months. If the entire amount is paid in
full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going
back to the first month. How much would it cost Jackson in finance charges if he misses the 5-month deadline?
Answer:
If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.
Step-by-step explanation:
Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:
5,200 x (1 + (0.198 / 12 x 5)) = X
5,200 x (1 + (0.0165 x 5)) = X
5,200 x (1 + 0.0825) = X
5,200 x 1.0825 = X
5.629 = X
5,629 - 5,200 = 429
Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.
Find the circumference of the circle P. Find the length of arc AB.
Answer:
A) 56.549
B) 9.425
Step-by-step explanation:
2(pi)r=56.54867
60/360x56.54867=9.425
So if I buy something for $26.98 and buy something else for $6.10 what will be the Total.
Answer:
33.08 $
I believe we add the two together and get our total !
— hope this helped :)!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 8/17, find sin 0.
sin 0 =
[?]
Simplify the fraction.
Answer:
Step-by-step explanation:
cos θ=8/17
sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17
HELP ASAP I WILL MARK BRAINLEY
Explain how to solve the equation and how to check the solution. 40 = Sy
Answer:
y = 5
Step-by-step explanation:
40 = 8y
divide both sides by 8, isolating y by itself:
40/8 = 8y/8
5 = y
rearrange the equation so the y is on the left side
y = 5
The answer is y = 5
We can check by plugging in y = 5 into the original equation:
40 = 8y
40 = 8(5)
40 = 40
correct
expand the square of a binomial (y^7-11)^2
Answer:
[tex]y^{14} -22y^7+121[/tex]
Step-by-step explanation:
This equation should help:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]
Answer:
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
Step-by-step explanation:
[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]
First terms,
[tex]{y}^{14} [/tex]
Outer,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Inner,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Last,
[tex] - 11 \times - 11 = 121[/tex]
Add all terms up
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
63°
13°
Choose the equation that best describes the image.
Answer:
13+63 if I'm not wrong......
click image to see it all
9514 1404 393
Answer:
x = 12
y = 4√10
z = 12√10
Step-by-step explanation:
The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.
x = √(4×36) = 12
y = √(4×(4+36)) = 4√10
z = √(36×(36+4)) = 12√10
Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 A. 32.5 B. 33 C. 31.5 O O D. 31 SUBM
Answer:
32.5
Step-by-step explanation:
median is the middle number, in this case the sum of the two middle number divided by 2
31 + 34 = 65/2
32.5
Answer:
33
Step-by-step explanation:
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! <33
Answer:
50.24in²
Step-by-step explanation:
Formula: πr²
Given: π = 3.14, r = 4
Sub: 3.14(4)²
SImplify: 3.14(16)
Solve: 50.24
What is the arithmetic mean of the following numbers?
8, 1, 2, 6, 1, 4
Answer:
mean = 8+1+2+6+1+4= 22÷ 6 (the total number of digits )
= 3.606
Answer:
Mean = 8+1+2+6+1+4 = 22÷6( The total number of digits)
= 3.606
5/6 = 25/? Fractions
Answer:5/6=25/blank
Step-by-step explanation:so 5/6 the top is times five forget the bottom for now just think of 5 and 25
[5x5] equals 25 so you already got the top
now for the bottom since you multiply the top by five you have to do that to the bottom so that will be [6x5] that equals 30 so you got your answer
[25/30]
Plzz help will mark brainleast
Order the numbers from least to greatest.
= –1.5
- (-2)
2.5
8/3
HELPP
Answer:
-1.5, -(-2), 2.5, 8/3
Step-by-step explanation:
pretty sure this is right
0.8km need to be convert into hour an minute please help
Answer:
It is not possible
Step-by-step explanation:
Required
Convert 0.8km to hours and minutes
One of the condition for a successful conversion is that: only units of the same metric can be converted.
i.e.
Meters can be converted to feet (they both measure distance)
Days can be converted to years (they both measure time)
Pounds can be converted to grams (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
using the function y =4x^2 +5x -21 estimate the slope of the curve at x= 1
Answer: 13
The derivative of this is 8x+5, plug in 1 for x. 13
15 + x = 27
One step equation
Answer:
x = 12
Step-by-step explanation:
15 + x = 27
subtract 15 from each side of the equation:
15 - 15 + x = 27 - 15
x = 12
A TV has a listed price of $751.98 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$817.78
Step-by-step explanation:
To find the tax you must do the equation:
751.98 x 0.0875
(Btw, 0.0875 is decimal form of 8.75%. Always turn the percentage into a decimal before finding the tax or sale amount)
751.98 x 0.0875 = 65.80.
Now, add the sale tax amount and the original price:
751.98 + 65.80 = 817.78
Therefore, the answer is 817.78.
Find the area and perimeter of the following figure.
Answer:
AREA: 49.2 miles
PERIMETER: 49.2
Step-by-step explanation:
in finding the area, multiply by 4 the same because it has the same sizes, A=s⁴ or Side x side x side x side
In finding the Perimeter
you need to add 12.3 miles to four sizes or same sizes
P= 12.3 + 12.3 + 12.3 + 12.3
you measured the weight of every apple in a box and found the mean weight to be 13.2 ounces and the standard deviation to be 2.7 ounces. you then discover that your scale was weighing every apple as being 3 ounces heavier than their actual weight. what are the actual mean and standard deviation?
What is the range of the data below?
A: 22
B: 28
C: 41
D: 42
Answer:
20
Step-by-step explanation:
42 is the biggest and the smallest is 22 so 42-22 = 20!
the product of 215 and 2
Answer:
430
Step-by-step explanation:
The "product" means multiply
215*2=430 or you can break it up:
215+215=430
Answer: 430
→Hope this helps!←
Which is an equation in terms of x and y for this function? graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).
Answer:
y = 1/2x + 10
Step-by-step explanation:
I'm not sure if this is right but:
First you work out the gradient of the line which is the difference in y divided by the difference in x:
Gradient = (14 - 11) ÷ (8 - 2) = 3 ÷ 6 = 1/2
the gradient is 1/2 so you'd write that as: y= 1/2x + c
Then you need to work out the y-intercept ( c )
You do this by substitution:
14 = 1/2(8) + c
14 = 4 + c
c = 10
So the y-intercept is 10 so you'd write that as:
y = 1/2x + 10
Shawn bought 3 items at the grocery store that cost $3.35, $6.85, and $2.90. After paying the cashier, Shawn received $2.15 in change.
How much did Shawn give the cashier to pay for his purchase?
Answer: Shawn payed the cashier $15.25
Step-by-step explanation:
A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: A, B, C, and D. What is
the probability that you randomly guess and select the correct answer?
Give your answer as a fraction
1. Solve the inequality 2x-5>11
Answer:
X=9
Step-by-step explanation:
2(9)-5 > 11
18-5 > 11
13>11
2x-5>11
2x-5+5>11+5 five will be cancelled five
2x>11+5
2x>16 divide 2 by 2 you get x then divide 16 by 2
x>8 this means x is greater than eight {x= 9,10,11,12.......}
someone please help me answer this!!
Answer:
-5 63/100
Step-by-step explanation:
What is 43% of 166? (Round to the nearest whole number)