Answer:
T_n = 160(0.05)^(n - 1)
At T_n = 100, n = 1 year
Step-by-step explanation:
We will use geometric progression to solve this question.
Formula for nth term of a GP is;
T_n = ar^(n - 1)
We are told the population of its high school decreases by 5% each year.
This means r = 0.05
senior class has 160 students. Thus a = 160
Thus,T_n = 160(0.05)^(n - 1)
Where n is number of years after now.
We want to find the number of years before the class will have 100 students
Thus;
160(0.05)^(n - 1) = 100
(0.05)^(n - 1) = 100/160
(n-1)In 0.05 = In (100/160)
-2.9957(n - 1) = -0.47
(n - 1) = 0.47/2.9957
n = 1 + 0.1569
n = 1.1569
Approximating to the nearest whole number gives n = 1
What is the value of c?
C=
Please someone help with this math problem!!!!
Find the missing length of the triangle 12 in and 35 in.
Answer:
37
Step-by-step explanation:
The answer is 37 I tried it and its right
HELPP MEEE!
7th gradeee
Find the circumference of the circle. Use 3.14 or 22/7 for TT. Round to the nearest tenth if necessary.
I’ll mark you brainliest!
47.1
the formula of circumference is 2×radius×pi.. so given=radius=7.5
pi=3.14
2×7.5×3.14=47.1
anyone tell me the answer
Answer: 0.9 is the same as 9 tenths
0.009 is the same as 9 thousandths
On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska is 213*f
Give the Full Question then I will solve it..
Pls help!!!! Pic attached
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
answer to (3j–1)+(–5j–4) ??
Answer:
-2j - 6
Step-by-step explanation:
3j - 2 + (-5j) - 4
3j - 2 - 5j - 4
-2j - 6
In a college philosophy class during the fall semester, there were 323 students,42% of whom were male and the rest of whom were female. In the springsemester, the same number of females was in the class as in the fall, but there were only 298 total students in the class. In the spring, what percent of students were female?
A. 46%B. 58%C. 63%D. 92%
Using the percentage concept, it is found that the percentage of female students in the spring was of:
C. 63%
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
During the fall semester, 58% of 323 students were female, hence:
0.58 x 323 = 187.
Then, during the spring semester, the same amount out of 298, hence:
[tex]P = \frac{187}{298} \times 100\% = 63\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
I give brainlest, please help.
If it is 2$ and it was 75 percent off what is the original price?
Answer:
$8
Step-by-step explanation:
If it's 75% of that mean 2=25%
multiply it by 4 to get 8
plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4
Answer:
y = -3/4x -4
Step-by-step explanation:
Parallel slope = -3/4
(-4,-1)
y - y1 = m(x - x1)
y + 1 = -3/4(x + 4)
y + 1 = -3/4x - 3
y = -3/4x -4
Find the area of this triangle. Round to the nearest tenth. 9.5 yd 23 yd
Please help!
Answer:
[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]
Step-by-step explanation:
I hope this helps ^_^
The area of the triangle is 108.7 square yards.
What is the area of the triangle?Let a, b, and c is the sides of the triangle.
The area of the triangle is given as
S = (a + b + c) / 2
[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]
The third side of the triangle will be
c² = a² + b² - 2ab cos θ
c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°
c² = 619.25 - 38.09
c² = 581.16
c = 24.11 yd
Then the area of the triangle will be
S = (9.5 + 23 + 24.11) / 2
S = 56.61 / 2
S = 28.3
Then the area will be
[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]
Simplify the expression, then the value will be
A = √11815.01
A = 108.7 square yd
The area of the triangle is 108.7 square yards.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ2
can you round 16.191
Answer:
Yes,
rounding to the nearest hundrenth would be 16.19
rounding to the nearest tenth would be 16.2
and rounding to the nearest ones place would get you 16
Step-by-step explanation:
Omari buys a computer for $1,083. She
makes a down payment of 20%. She pays
$144.40 per month to finish paying for
the computer. How many months will it
take Omari to finish paying?
Answer:
6 months.
Step-by-step explanation:
To find the answer, we first need to find out how much Omari paid for the down payment. To find this, you multiply 1083*0.20 and you get $216.60. So we subtract the down payment from the total leaving us with $866.40. Now to find out how many months it would take Omari to pay, we divide 866.40/144.40 since each month she pays $144.40 a month. Once you divide 866.40/144.40, you are left with an answer of 6 months.
PLS HELP ME AND MY TEACHER ARE ON A 1 ON 1 CALL HELP ASAP
Answer:
I'm confused because...
Step-by-step explanation:
The area of the triangle is 117.
So the surface area of the pyramid is 701.168.
Show work, please
32 points!
Answer:
1.Equivalent
2.Equaivalent
3.Not Equivalent
4.Equivalent
Can someone help me on this plzzz??
Answer:
add to elimanate y.
Step-by-step explanation:
Please help me out with this!
Answer:pooor guy hope u get it
Step-by-step explanation:
A figure has side lengths as marked in the diagram.
What is the area of the figure?
Answer:
132.4
Step-by-step explanation:
-2x+2y=6 and 7x+4y=23
Let's solve this problem step-by-step:
Let's set:
[tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]
(equation1) * 2
[tex]-4x+4y=12--equation3[/tex]
(equation 2) - (equation 3)
[tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]
Plug (equation4)'s value of 'x' into (equation1)
[tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]
Thus x= 1 and y = 4
Let's check:
[tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]
Answer: x = 1 and y= 4
Hope that helps!
Help! I will mark brainliest
Answer:
[tex]4[/tex] x [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4*10^6
Step-by-step explanation:
need help i dont know what I am doing
Answer:
answer below:)
Step-by-step explanation:
Basically, start off by simplifying each pair of numbers.
The first one: [tex]2^{2}[/tex] x 5 = 4 x 5 = 20
The second one: [tex]11^{1}[/tex]= 11
The third: [tex]8^{2}[/tex]-60 = 64 - 60 = 4
Now from least to greatest, so that would be 4, 11, 20 or in this case it would then be [tex]8^{2}[/tex]-60, [tex]11^{1}[/tex], [tex]2^{2}[/tex] x 5
Hope it helped, good luck!!
Tell whether the ordered pair is a solution.
y=4x
(1,4)
Answer:
It’s a solution
Step-by-step explanation:
What are all the zeros of the function f(x) = 4x2 + 8x + 3?
Please help!!
HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?
Find the area of the right triangle
Answer:
12 is the area
Step-by-step explanation:
Area is multiplication
2 width
6 length
2 times 6
10 Points, and thank you!
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]
Step-by-step explanation:
I hope this helps
have a nice day!! :)