Answer:
20.5 years
Step-by-step explanation:
The population is given by the exponential function ...
p = 16000·(1 +0.022)^t
When p = 25000, we can find the value of t by taking logarithms.
log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log
t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t
It will take about 20.5 years for the population to reach 25000.
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
2x+5(x+1) = -8;
Can someone help me solve this problem step by step please?
Answer:
-13/7
Step-by-step explanation:
2x+5(x+1)=-8
2x+5x+5=-8
7x+5=-8
7x=-8-5
7x=-13
7x/7=-13/7
x=-13/7
Answer:
x = -13/7
Step-by-step explanation:
2x+5(x+1) = -8
2x+5x+5 = -8
7x+5 = -8
7x = -8-5
7x = -13
x = -13/7
Solve the formula for the specified variable.
V=AQT for A
Answer:
[tex]A = \frac{V}{QT}[/tex]
Step-by-step explanation:
To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:
[tex]AQT = V[/tex]
[tex]AQT = \frac{V}{1}[/tex]
[tex]AQ = \frac{V}{T}[/tex]
[tex]A = \frac{V}{QT}[/tex]
The area of the triangle below is 5.52 square feet.
What is the length of the base?
Answer:
4.6 ft
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Fill in the given values and solve for the base.
5.52 = 1/2b(2.4)
5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b
The base is 4.6 feet.
Aaron and Kevin are on the school golf team. Aaron buys 6 cheap golf balls and 4 expensive ones for $18.00. Kevin buys 4 cheap and 3 expensive balls for $13.00.
what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
learn more about lines and slopes here :
https://brainly.com/question/3605446
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Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2in 28 minutes. What is your percent of change
Answer:
12.5% decrease
Step-by-step explanation:
[(V2 - V1) / V1] x 100 = Percent Change
60.98 x 62xv Whats v
NEED HELP ASAP PLZ HELP
Answer:
y=0.68x + 0.22
Step-by-step explanation:
HOPE THIS HELPS :)
Find the slope of the line that goes through (5,-8) and (-2,2)
Answer:
-1.42857
Step-by-step explanation:
Matthew has a gift card for $50 to lulu beans he is charged $3.25 for each coffee that he buys write an equation to represent his total amount left a after c coffees are purchased how many coffees were purchased if he has $11 left on the card
Answer:
Amt(c) = $50 - ($3.25/coffee)c
c = 12
Step-by-step explanation:
An equation to represent his total amount left a after c coffees are purchased
would be Amt(c) = $50 - ($3.25/coffee)c
and if he has $11 left, then $11 = $50 - ($3.25/coffee)c
or -$39 = -($3.25/coffee)c.
Dividing both sides by -$3.25, we get c = 12
what is the probability
15+25 distributive property
Answer:
(5 x 3) + (5 x 5)
Step-by-step explanation:
hope thats what your looking for
1234567891011121314151617181920
Answer:
What's this question? Oh my gosh!
Is
(
x
+
1
)
a factor of the function
f
(
x
)
=
7
x
4
−
5
x
3
−
10
x
2
+
2
x
, and why?
Answer:
It is the first answer choice.
Step-by-step explanation.
Use synthetic division and there is no remainder, so -1 is a factor
Jake is 1.25 meters tall. At 11a.m he measures the length of a trees shadow to be 16.45 meters. He stands 11.5 meters away from the tree, so that the tip of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter
Answer:
1.25 yeah girlyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy i ttook the test
Step-by-step explanation:
which equation generates the value in the table
Answer:
A
Step-by-step explanation:
Find m angle O Y X in the diagram above.
URGENT!!
Answer:
• Angle OYW or Angle WYO is 90°
• Angle OYX or Angle XYO is 90°
• Angle WYX is 180° [ A straight line ]
Step-by-step explanation:
Line WYX is a perpendicular bisector of radius lind of the circle.
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please help with hegarty algebraic fractions and quadratic equations
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf \dfrac{3}{x} - \dfrac{3}{x + 4} = 1[/tex][tex] \sf \dfrac{3(x + 4) -3x }{x(x + 4)} = 1[/tex][tex] \sf \dfrac{3x + 12-3x }{x(x + 4)} = 1[/tex][tex] \sf 12 = {x(x + 4)} [/tex][tex] \sf {x}^{2} + 4x = 12[/tex][tex] \sf{ {x}^{2} + 4x - 12 = 0 }[/tex][tex] \sf{ {x}^{2} + 6x - 2x - 12 = 0}[/tex][tex] \sf{x(x + 6) - 2(x + 6) = 0}[/tex][tex] \sf(x - 2)(x + 6) = 0[/tex]Hence,
[tex] \sf x = 2 \: \: or \: \: x = - 6[/tex]- The price of an item increases from $90 to $100. Find the increase per cent.
Answer:
The increase as a percentage was 11.1%.
Step-by-step explanation:
The increase is $10. The ratio of this increase to the original $90 is
$10
------- = 1/9
$90
Multiplying this by 100%, we get 11.1%.
The increase as a percentage was 11.1%.
Can someone please help me with this one? Tysm! ^^
The distance between two cities on a map is 6cm. If the scale one the map is 2 cm=50 miles, how many miles apart are the two cities
Work Shown:
2 cm : 50 miles
3*(2 cm) : 3*(50 miles)
6 cm : 150 miles
A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?
________ students would actually enroll. (Type a whole number)
Answer:
4,500 hope this help
Step-by-step explanation:
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?
Answer:
Fv = Pv(1 + i/m ) n×m
=60 000(1 + 0.12/2) 1×2
=60 000(1.06) ²
=60 000×1.1236
=67 416
What is 1/2 of 14? this is an algebraic expression!!
2. Daniel orders sushi from the sushi restaurant. The total bill is $80. He tips the sushi chef 20%.
How much money does the sushi chef get?
Answer:
16
Step-by-step explanation:
(20/100) * 80=16
Answer:
16
Step-by-step explanation:
$20.43 is how much tip was
27% >>> .27
.27 * 75.68 = 20.43 tip
Bonus: $96.11
the bold word are tip but your answer is 16
mark me brinilylist
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4). What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary. X = y =.
The x and y coordinates of point C are -2.6 and 5.2, respectively
The coordinate of the points are given as:
[tex]A = (-4,8)[/tex]
[tex]B =(2,-4)[/tex]
The ratio is given as:
[tex]m :n = 3 : 10[/tex]
The point at the given ratio is calculated as:
[tex]C = (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
So, we have:
[tex]C = (\frac{3 \times 2 + 10 \times -4}{3+10},\frac{3 \times -4 +10 \times 8}{3+10})[/tex]
Simplify
[tex]C = (\frac{-34}{13},\frac{68}{13})[/tex]
[tex]C = (-2.6,5.2)[/tex]
Hence, the x and y coordinates of point C are -2.6 and 5.2, respectively
Read more about line ratios at:
https://brainly.com/question/11764811
Answer:
a
Step-by-step explanation:
there is 60 girls and 90 boys in the 7th grade at sycamore middle school of theses students 14 boys and 10 girls write left handed what percentage of the 7th graders at sycamore middle school write left handed
Answer:
16%
Step-by-step explanation:
60+90=150 total students
14+10=24 left handed students
24/150= 0.16 or 16% of the population being left handed