Answer:
$10
Step-by-step explanation:
Let the number of 30 day periods be x.
[tex]90-2x=70-1.5x \\ \\ 20=0.5x \\ \\ x=40[/tex]
When x=40, the value is 90-2(40)=$10.
The value of each card will be $ 10 after 40 periods, where the value of the first and second cards are equal.
Given data:
Let x represent the number of 30-day periods that have passed since the gift cards were obtained.
For the first gift card with $90 initial value and losing $2 for each 30-day period:
Value of the first card = Initial value - Loss per period * Number of periods
Value of the first card = $90 - $2 * x
For the second gift card with $70 initial value and losing $1.50 for each 30-day period:
Value of the second card = Initial value - Loss per period * Number of periods
Value of the second card = $70 - $1.50 * x
Now, to find when the two cards have equal value x:
Value of the first card = Value of the second card
$90 - $2 * x = $70 - $1.50 * x
On simplifying the equation:
$90 - $70 = $2 * x - $1.50 * x
$20 = $0.50 * x
x = $20 / $0.50
x = 40
After 40 periods of 30 days each, the two cards will have equal value.
Now, determine the value of each card at this point:
Value of the first card = $90 - $2 * 40 = $90 - $80 = $10
Value of the second card = $70 - $1.50 * 40 = $70 - $60 = $10
Hence, both cards will have a value of $10 when they have equal value after 40 periods.
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draw moels for two gardens, one that is 6 ftx 3 ft and one that is 6 ft x 4ft.
Both the garden are in the shape of rectangles.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
The dimension of the two gardens are given as:
6 ft ×3 ft and 6 ft × 4 ft
From the dimension, we can conclude that the gardens are in the shape of a rectangle.
For the first garden 6 ft ×3 ft,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 3 ft.
Similarly,
For the second garden 6 ft × 4 f,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 4 ft.
The models for the two gardens:
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3 + 5f - (24 - 9g) for f= 6.2 and g= 2.1
Answer:
28.9
Step-by-step explanation:
3+5(6.2)-(24-9(2.1))
3+31-(5.1)
34-5.1
28.9
Answer:
28.9
Step-by-step explanation:
Answer this question please and thank you
Answer:
I think it's 62 :D
Step-by-step explanation:
52 - (-10)= 62
Someone please help, I have a midterm and I have no idea what I’m doing ♀️
Answer:
7% of 100 is 7 so 100 + 7 = 107
Step-by-step explanation:
translation and reflection
Can someone help with this
Answer:
I hope this helps you
Step-by-step explanation:
50.2654824574
43.82 feet 50.02 feet What is the difference between the two distances?
The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.
How to find the difference between two numbers?
Subtract the greatest from the smallest value of two numbers to determine the difference between them. The difference between the two numbers is the sum's product.
Given,
The two distances:
x = 43.82 feet
y = 50.02 feet
We have to determine the difference between x and y.
That is,
y – x. This is because y > x.
y – x = 50.02 feet – 43.82 feet = 6.2 feet.
Therefore,
The difference between the distances 43.82 feet and 50.02 feet is 6.2 feet.
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Kelly scored 56.73 points and Karen scored 74.92 points on an exam. How many points less did Kelly score than Karen?
Select whether each function is linear or nonlinear
Y=9(2x)
Y=(5x+3)^2
Y=8x^2
Y=5x-3
Y=3x^2+2x-1
If I put ^ before a number it means it's an exponent if anyone doesn't know
Answer:
liner Y=9(2x) Y=5x-3
Step-by-step explanation:
Y=9(2x) and y = 5x - 3 are linear equations while others are non-linear.
The standard linear equation is in the form y = mx + b
Note that the highest degree of linear equation is 1 while that of non-linear is 2 and above.From the given option, we can see that the equation with the highest degree of 1 are Y=9(2x) and y = 5x - 3 (These ar linear equations)Other equations are non-linear in nature since they have a degree of 2 or more.
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Find the slope from the table.
If the area of a semicircle is 77cm² then find its perimeter.
[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
Helpppppppppppppppppppppppppppppppppppppppppp
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to check the given list and state the true values;
1. This is true
Compound interest has the exponent nt; simple interest has no exponent
2. This is false
Simple interest is only earned on the principal which is the amount deposited
3. True
Due to its multiplication chain, it earns more money as we can compound more than once within the given time frame
4. This is false; check explanations above
5. This is true
Its value is only based on the amount invested originally
6. This is false
simple interest earns the same amount annually based on rate
7. This is false
Both considers the time factor t in their formulas
8. This is true
The interest and principal forms the principal for another compounding time
1.Find the product. Simplify as low as possible
5/19 × 2 8/15
If M is the centroid of triangle ABC, AM = 44, CE =54, and DM
= 23, find each missing measure.
FM=?
Answer:
FM = 22
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore, AM : FM = 2 : 1
Let AM = 2x and FM = x
Since, AM = 44
Therefore, 2x = 44
x = 44/2
x = 22
FM = 22
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORKKKKKKKKKKK PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Solve the inequality below.
Answer:
6.8
Step-by-step explanation:
In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.
-6/5 as a decimal is -1.2
-1.2+8= 6.8
So it is 6.8>-10
32, 43, 38, 28, 51
What is the mean absolute deviation of the numbers in the list?
Answer:
The answer is 6.88.
Step-by-step explanation:
The mean absolute deviation for the given data will be equal to 6.9.
What is the mean absolute deviation?The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection.
It is a statistical summary of statistical variability or dispersion.
The formula used to calculate MAD is given below:-
MAD = 1/n ∑ |xi-m|
The given data set is 32, 43, 38, 28, and, 51. First, calculate the mean of the given data.
Mean = ( 32 + 43 + 38 + 28 + 51 ) / 5
Mean = 192 / 5 = 38.4
The MAD will be calculated as below:-
MAD = ( 1 / 5) [ | ( 32 - 38.5 ) | + | ( 43 - 38.5 ) | + | ( 38 - 38.5 ) | + | ( 28 - 38.5 ) + | ( 51 - 38. 5 ) | ]
MAD = ( 6.5 + 4.5 + 0.5 + 10.5 + 12.5 + ) / 5
MAD = 6.9
Therefore, the mean absolute deviation for the given data will be equal to 6.9.
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What’s the answer to
-3x/5-5=-8
Answer:
x=1/5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The population of a city increased by 140 people last year. Which situation, when combined with that increase in population, results in a zero overall change in population?
A. The population of the city decreases by 140 during the next year.
B. The population of the city decreases by 10 people per month during the next year,
C. The population of the city stays constant during the next year.
D. The population of the city increases by 140 during the next year.
Find the surface area of a cylinder with a height of 9 inches and a base radius of 4 in ches
PLEASE HELPPP!!!
San Francisco is well known for its fog: very thick, low-lying clouds that hide its hills. One foggy day, Penelope is practicing kicking a football. Once she kicks the football so high that it disappears into the fog! The height of the ball (in feet) can be represented at time (in seconds) by the equation h(t)=−16t2+64t . The ball disappears into the fog when it is 40 feet high.
a) Write an inequality that represents the times during which the ball was not visible.
b) Solve the inequality and represent your solution algebraically and on a number line. Also, write a sentence explaining your answer in the context of the problem.
c) How high does Penelope kick the football?
d) When does it reach its maximum height?
Answer:
a) [tex]-16t^{2}+64t\geq40[/tex]
b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]
(see attached picture for the number line)
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) [tex]h_{max}=64ft[/tex]
d) t=2s
Step-by-step explanation:
a)
Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:
[tex]-16t^{2}+64t\geq40[/tex]
this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.
b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:
[tex]-16t^{2}+64t =40[/tex]
we can move the 40 to the other side of the equation so we get:
[tex]-16t^{2}+64t-40=0[/tex]
we can factor the equation so it's easier to solve, so we get:
[tex]-8(2t^{2}-8t+5) =0[/tex]
which simplifies to:
[tex]2t^{2}-8t+5=0[/tex]
and we can use the quadratic formula to solve this equation, so we get:
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]
so we get:
[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]
which yields:
[tex]2\pm \frac{\sqrt{6}}{2}[/tex]
and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4
so next we test each of the values in the original inequality and see if the inequality is true:
[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0
[tex]-16(0)^{2}+64(0)\geq40[/tex]
[tex]0\geq40[/tex] false
so this is not an answer.
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1
[tex]-16(1)^{2}+64(1)\geq40[/tex]
[tex]48\geq40[/tex]
true, so this is an answer.
[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4
[tex]-16(4)^{2}+64(4)\geq40[/tex]
[tex]-16(16)+64(4)\geq40[/tex]
[tex]-256+256\geq40[/tex]
[tex]0\geq40[/tex]
false, so this is no answer.
So the answer is the interval:
[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]
This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.
c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)
so we can use the following formula to find the t-value for this maximum height:
[tex]t=-\frac{b}{2a}[/tex]
so we substitute the corresponding values:
[tex]t=-\frac{64}{2(-16)}[/tex]
which yields:
t=2s
next, we can substitute this time into the original function to find the maximum height, so we get:
[tex]h=-16(2)^{2}+64(2)[/tex]
which yields:
h=64 ft
d) We found the answer for d on the previous part where we got that t=2s
15x=5(4-x)
X=?
Merry Christmas and Happy New Year!
Answer:
Merry Christmas!!!! :D
Step-by-step explanation:
The awnser is 1 :D
Answer:
x=1
Step-by-step explanation:
15x=5(4-x)
15x=20-5x
20x=20
x=1
Happy Holidays! Please give me brainliest!
a 12-ft ladder leans against a building so that the angle between the ground and the ladder is 74°. how high does the ladder reach on the building? (round your answer to the nearest foot.)
Answer:
12 feet
Step-by-step explanation:
Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!
We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
Plug in known values:
[tex]sin(74^o)=\frac{x}{12}[/tex]
Rearrange to isolate the variable:
[tex]x=12sin(74^o)[/tex]
Simplify!
[tex]x=11.535140... ft[/tex]
Round to the nearest foot:
[tex]x=12ft[/tex]
multiply
6x 10 by 12,2
Answer:
Huh??
Step-by-step explanation:
6x10=60/12=5×2=10??????
how many solutions does
7x=4x-7 have?
A) one solution
B) two solutions
C) No solutions
D) infinite solutions
Answer:
A , one solution.........
whats the square root of 9?
Answer:
The answer is 3
Step-by-step explanation:
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.There are
____ × 10____
times more bacteria in the petri dish this week compared to last week.
Answer:
Step-by-step explanation:
2.75 x 10⁵ ) / (2.25 x 10² )= (2.75 / 2.25) x 10⁵⁻²= 1.2 x 10³ times .(That's 1,200 times as many.)
The length of a pencil is 7½ inches. What is the combined length of 9 pencils that are this size?
Answer:
67.5
Step-by-step explanation:
7.5 (the lenght of the pencil) multiplied by 9 (the number of pencils) is 67.5
Answer:
7in
Step-by-step explanation:
PLEASE HELP! This is over due please help ASAP! I’ll give brainliest! please!
Solve the inequality. Graph your solution.
2x-1/3/3 +3 <= -4 OR 8x-2/2 -1 => 6
A. X <= -10 or x => 2
B. X <= -2 or x => 2
C. X => -10 or => 2
D. Z <= -4 or x=> 9/8
(I’m sure it was obvious but im just letting you know I used =><= for the “ greater/less than or equal to” signs)
Answer:b
Step-by-step explanation:
Please help will mark the brainliest
Answer:
y=-x-2 this is the answer