Answer:
≈ 13.33 years
Step-by-step explanation:
The population of Frisco ISD after t years is given by the following equation:
[tex]y(t) = 46000(1.06)^{t}[/tex]
How many years will pass until the population of Frisco ISD is at 100,000 students?
This is t for which [tex]y(t) = 100000[/tex]. So
[tex]y(t) = 46000(1.06)^{t}[/tex]
[tex]46000(1.06)^{t} = 100000[/tex]
[tex](1.06)^{t} = \frac{100000}{46000}[/tex]
[tex]\log{(1.06)^{t}} = \log{\frac{100000}{46000}}[/tex]
[tex]t\log{1.06} = \log{\frac{100000}{46000}}[/tex]
[tex]t = \frac{\log{\frac{100000}{46000}}}{\log{1.06}}[/tex]
[tex]t = 13.33[/tex]
So the answer is ≈ 13.33 years
An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price.
Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 12 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 34 pounds. If each cup weighs 516 pound, how many cups of flour does he add?
Answer:
4 POUNDS OF FLOUR
Step-by-step explanation:
The number of cups of flour he added is 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bowl weight = 1(1/2) pounds
Number of cups of flour weight = x pounds
Now,
Total weight = 2(3/4) pounds
1(1/2) + x = 2(3/4)
x = 11/4 - 3/2
x = (11 - 6)/4
x = 5/4
Now,
Weight of each cup of flour = 5/16 pounds
Now,
The number of cups of flour.
= 5/4 ÷ 5/16
= (5 x 16) / (4 x 5)
= 4
Thus,
The number of cups of flour is 4.
Learn more about expressions here:
https://brainly.com/question/3118662
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Write an equation for the trend line shown. Type answer in y = mx + b format.
Answer:
y=1/4x+250
Step-by-step explanation:
Answer:
y = 12.5x + 250
Step-by-step explanation:
(4,300) , (8,350)
m = 350 - 300 / 8 - 4 = 25/2 = 12.5
y - 300 = 12.5(x - 4)
y - 300 = 12.5x - 50
y = 12.5x + 250
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
PLEASE I NEED HELP QUICK I HAVE A TIME LIMIT
Answer:
Step-by-step explanation:
AC² + AP² = PC²
AC² + 5² = 13²
AC = 12
radius = AC/2 = 6
Number 3 answered please
Answer:
Step-by-step explanation:
n=3p, d=p-2
10d+5n+p=110 using n and d from above makes this become
10(p-2)+5(3p)+p=110
10p-20+15p+p=110
26p-20=110
26p=130
p=5
n=3p=3(5)=15
d=p-2=5-2=3
So she has 3 dimes, 15 nickels, and 5 pennies.
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Classifying Quadrilateral
Answer:
Step-by-step explanation:
Answer 12.9
Can you help me with this if you’re a smart person
Help, please. The question is down below. I give brainliest. Please anyone help.
Answer:
25%
hope this helps
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
How many 1/5’s are in 2
Answer:
10 fifths
Step-by-step explanation:
Answer:
There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.
Step-by-step explanation:
I guess 0.4 times?
Find the measure of exterior 1.
Answer:
90 degrees
Step-by-step explanation:
A.P.E.X
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work!
Answer:
D
Step-by-step explanation:
Which expression has a lesser value than -10?
a. 8+ (-12)= -4
b. – 14 – 2 + 8= -16+8= -8
c. 4-(-12)= 16
d. - 2 +(- 12) + 2 = -12
Answer:
Step-by-step explanation:
a.
8 +(-12) = 8-12 = -4
-4 > -10
b.
14-2+8 = 12+8 = 20
20 > -10
c.
4-(-12) = 4+12 = 16
16 > -10
d.
-2+(-12)+2 = -2-12+2 = -14+2 = -12
-12 < -10
I will give brainliest to the first one that does it correctly
Answer:
180-138
=42, is the answer
Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
Joe earned $25500 per annum and received a 6.35% raise. How much does he earn now?
Answer:
1619.25
Step-by-step explanation:
25500 x 6.35 % = 1619.25
What equation is equivalent to 6x + 13 - (3x - 7)
Answer:
6x + 12 - (3x - 7)
6x + 12 - 3x + 7
3x + 19
Step-by-step explanation:
Simplifying
6x + 13 + -3x + -7 = 0
Reorder the terms:
13 + -7 + 6x + -3x = 0
Combine like terms: 13 + -7 = 6
6 + 6x + -3x = 0
Combine like terms: 6x + -3x = 3x
6 + 3x = 0
Solving
6 + 3x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + 3x = 0 + -6
3x = 0 + -6
Combine like terms: 0 + -6 = -6
3x = -6
Divide each side by '3'.
x = -2
Simplifying
x = -2
Which of the following is the MOST reasonable equation for the line of best fit?
Answer:
either c or b that's what I think
-.25z=-1.25 What is Z?
Answer:
z=5
Step-by-step explanation:
Pless help I want to hang my self
A rectangular prism has a length of 1į yards, a width of 25 yards, and a height of 4 yards. Enter the volume of the prism as a mixed number in simplest form in the box. yd3
if anyone know the answers to this question i really need help.
Answer:
b.) 6
Step-by-step explanation:
2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
Larry bought 24 marbles little lost half of his marbles how many did he lose
Answer:
12
Step-by-step explanation:
his he had lost 12 of his marbles then he would only have 12 left to begin with.
to do this we can do the equation:
24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)
this would then give use our quotient of 12 marble he had lost
simply the following expression:
a⁴ = a⁵
Answer:
a9
Step-by-step explanation:
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?
Answer:
4+5=9
27÷9=3
they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.
Whats the value c
Pleaseee help
Step-by-step explanation:
the value of x is 20 that's it good luck
Step-by-step explanation:
6c + c + 10 + c + 10 = 180
8c = 160
c = 20