Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:
(C) $2363
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Her account was worth $2000 initially, and it increases by 10%, percent every 4 years, hence, it is modeled by:
[tex]y(t) = 2000(1.1)^{\frac{t}{4}}[/tex]
After 7 years, the amount is:
[tex]y(7) = 2000(1.1)^{\frac{7}{4}} = 2363[/tex]
Hence option C is correct.
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Refer to the figure at the right. If
m22 = (a + 15)° and m23 = (a + 35)°, find the
value of a such that HĽ I HJ.
Answer:m∠1 = 145°
m∠2 = 35°
m∠3 = 35°
m∠4 = 145°
m∠5 = 145°
m∠6 = 35°
m∠7 = 35°
m∠8 = 145°
Step-by-step explanation:
The required value of a is 20°.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles.
Now it is given that,
m22 = (a + 15)° and m23 = (a + 35)°
Let m22 and m33 be the angle between HL and HJ.
And since HL is perpendicular to HJ therefore they are complement ot each other.
Thus,
m22 + m23 = 90°
⇒ (a + 15)° + (a + 35)° = 90°
⇒ a° + 15° + a° + 35° = 90°
⇒ 2a° +50° = 90°
⇒ 2a° = 90° - 50°
⇒ 2a° = 40°
⇒ a° = 40°/2
⇒ a° = 20°
Thus, the required value of a is 20°.
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Please help!!
Thanks!!
Answer:
-15
-11
5
9
13
hope this help <3 can i have brainly?:)
Step-by-step explanation:
Answer:
-15
-11
5
9
13
Step-by-step explanation:
Just plug in what x is.
h(-4) = 4(-4) + 1
h(-4) = -16 + 1
h(-4) = -15
h(-3) = 4(-3) + 1
h(-3) = -12 + 1
h(-3) = -11
h(1) = 4(1) + 1
h(1) = 4 + 1
h(1) = 5
h(2) = 4(2) + 1
h(2) = 8 + 1
h(2) = 9
h(3) = 4(3) + 1
h(3) = 12 + 1
h(3) = 13
Hope this helps!!
The graph below shows the amount of Michael’s paycheck based on a 40 hour work week, plus his commission from sales. Michael earns 50% of the total amount of sales that he makes.
Answer:
Option B.
Step-by-step explanation:
The graph attached shows the amount of Michael's paycheck based on 40 hour wok along with commission from the sales.
There are two variables plotted on the graph.
On x-axis → Amount of sales
On y-axis → Amount of paycheck he received
Point (0, 100) shows the y-intercept.
Since, y-coordinates show the amount of paycheck, y-intercept will show the amount ($100) at zero sales.
Therefore, Option B will be the correct option.
Answer:
sorry I am late, but here is the answer! Really helpful for k12 students! Hope this helps!
Help! marking branliest answer if gotten right!
Answer: x= 65
Step-by-step explanation:
Vertical angles are equal to each other. So, to solve, write the equation:
2x - 10 = 120
Add 10 to both sides
2x = 130
Divide both sides by 2
x = 65
What is the length of 15,409,000 cubic yard in miles? (to
the nearest hundred)
Answer:
Step-by-step explanation:
The cube root of 15,409,000 = 248.84 yards.
There are 1760 yards in a mile
One edge of a cube = 248.84 / 1760 = .141386 miles.
So a cube would be .00283cubic miles. Your answer does not reach a hundredth place, I don't think.
Umm I need help thanks
Answer:
x=60
Step-by-step explanation:
If you add all of the interior angles together, it equals 360. Since all the sides are congruent, that means that all of the angles are congruent as well. The equation is 6x=360. Then solve for x
Study the number line shown. Match the question with the correct letter on the number line.
Answer:
C,B,D,A
Step-by-step explanation:
Start at 3(X) and move based on the question
What is the decimal multiplier to decrease by 11%
Answer:
1/1
Step-by-step explanation:
i hate math do you hate math?
What's is the distance between (-2,7) and (-4,11)
Answer:
Step-by-step explanation:
The answer is in the picture above. Sorry for the previous mistake
I need help with #15 please!
Answer:
A) m = 16/5
Step-by-step explanation:
We need to find the slope between a choice of two points in this function table. I'll choose points (5,16) and (10,32) however you can choose any point you want.
To find "m" which is the slope, we need to do the following:
m = (y2-y1)/(x2-x1)
m = (32-16)/(10-5)
m = 16/5
The answer is A) m = 16/5
What is the square of 15?
can someone help me plzzzz
its incresing and its 2
Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Answer:
Slope = 2
Step-by-step explanation:
m(slope) = y2-y1/x2-x1
8-0/4-0
m = 2
How would I solve (p^3)^7?
Answer:
this is your ans
Step-by-step explanation:
mark brainliest please
help me in the question please
PLEASEE HELP I ONLY HAVE 3 MINUTES LEFT HELPP
What is the equation in the slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4,3)?
A) y=-1/2x+5
B) y=2x+3
C y=-2x+2
D) y=2x+5
Answer: A) y= -1/2x+5
Step-by-step explanation: If the line is perpendicular to the original, the new "m" (coefficient of x) has to be the negative reciprocal of the original "m"
The amount of available disk space on a digital video recorder changed from 81% to 9% after recording 12 episodes of a show. Each episode requires the same amount of disk space. Which statement is true? The change in available disk space is 6% per episode. The change in available disk space is −6% per episode. The change in available disk space is 7.5% per episode. The change in available disk space is −7.5% per episode.
Answer:
The change in available disk space is −6% per episode
Step-by-step explanation:
Given that :
Available disk space changed from 81% to 9% after recording 12 episodes of a show
Each episode requires the same amount of disk space
Change in disk space =
Final % = 9%
Initial percentage = 81%
Change = final value - initial value :
(9 - 81)% = -72%
72% reduction in disk space
Space taken up per episode :
Reduction in space / number of episodes
= -72% / 12
=- 6%
Determine the slope from the following order pairs:
(0,3) (3,-1)
Simplify the expression: 3(4d + 1)
Answer:
12d+3
Step-by-step explanation: multiply 3x4d and 3x1 and you get 12d+3
Answer:
12d + 3
you have to multiply 3 times both of the numbers
Explain in detail what happens to the particles before, during, and after sublimation.
Answer:
The process in which a solid changes directly to a gas is called sublimation. It occurs when the particles of a solid absorb enough energy to completely overcome the force of attraction between them. Solid carbon dioxide changes directly to the gaseous state. ...
Step-by-step explanation:
Given the values in the table on the left come from
a continuous function, which intervals must
contain an x-intercept? Select two options.
-0.8
-3.2 < x < -2.4
2.4 < x < 3.2
1.6 < x < 2.4
DONE
Answer:
B and d
Step-by-step explanation:
Edge 2020
Answer:
-3.2 and 1.6
Step-by-step explanation:
At an amusement park, Robin bought a t-shirt for $13 and 8 tickets for rides. She spent a
total of $32 Write an equation and determine how much each ticket cost.
Answer:
$2.37
Step-by-step explanation:
if you 13 from 32 and then divide that by 8 you get 2 dollars and 37 cents
Answer:
2.37
Step-by-step explanation:
32-13=19
19/8=2.37
A line passes through the point (-5,-2) and (0,2) write the equation in point-slope form
Answer:
y=4/5x+2
Step-by-step explanation:
Answer:
y=0.8x+2
Step-by-step explanation:
First, you would figure out the slope using the following equation: (y2-y1)/(x2-x1)=slope.
So, (2--2)/(0--5)= 4/5, or 0.8. This would be the slope.
Then, you would figure out b by putting a data point from the given ones. I chose (0, 2).
2=0.8(0) + b --> 2=0 + b --> 2=b
So, the final equation is y=0.8x+2
A=pir^2 solve for pi
Given problem;
A = [tex]\pi[/tex] r²
Solve for π;
To solve for π implies that we make it the subject of the expression.
So;
A = π r²
Now multiply both sides by [tex]\frac{1}{r^{2} }[/tex]
So;
A x [tex]\frac{1}{r^{2} }[/tex] = [tex]\pi[/tex] x r² x [tex]\frac{1}{r^{2} }[/tex]
r² cancels out from the right side and leaves only π;
π = [tex]\frac{A}{r^{2} }[/tex]
So [tex]\pi = \frac{A}{r^{2} }[/tex]
Determine whether the given lines are parallel, perpendicular or neither.
2x + 3y = 1
3x – 2y = 1
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
These two equations are perpendicular it's pretty tough to figure it out with the only the equations like last time but if you graph it's more easier because it's visual.
So the equations solved for y is...
[tex]y=-\frac{2}{3} x+\frac{1}{3}[/tex]
[tex]y=\frac{3}{2}x-\frac{1}{2}[/tex]
My teacher gave me a number and told me to subtract 5 from the number and then multiply the result by 8. Unfortunately, I wasn't listening. I thought she told me to subtract 8 first and then multiply the result by 5. I did those computations correctly and came up with 70 as my answer. What is the correct answer to the question my teacher actually asked me?
Answer:
136
Step-by-step explanation:
If you subtracted 8 and multiplied it later 70 divided by 5 is 14 plus 8 equals 22 so 22 was the number I suppose
22 minus 5 equals 17, 17 times 8 equals 136 so the original answer was 136
A kids' movie ticket costs $5.25.
1. One day, 200 kids' tickets were purchased. What was the total cost of those tickets?
2. Ift is the number of kids' tickets purchased, and c is the total cost of those tickets,
write an equation that relates c tot.
3. Another day, the total cost of kids' tickets was $813.75. How many tickets were
purchased that day?
Answer:
1. $1050
2. $5.25t = c.
3. $813.75 ÷ 5.25 = 155.
Step-by-step explanation:
For the first day, 200 kid tickets were purchased. We know that a singular movie ticket is $5.25. From this information, I know I have to multiply.
200 x 5.25 = 1050.
The answer to number one is $1050.
So t will be the variable that represents the number of kid's tickets and c is the total cost, from this equation, I would create this equation:
$5.25t = c.
I put 5.25 down because that is the cost of a singular child ticket. It would be multiplied by t (total amount of child tickets) and the product would be the total cost of those tickets (c).
The answer to number 2 is $5.25t = c.
Another day, the total cost of the tickets were $813.75. One kid movie ticket is $5.25, so this calls for division.
$813.75 ÷ 5.25 = 155.
The total amount of tickets that were purchased that day was 155 child tickets.
The total amount of tickets that were purchased that day was; 155 child tickets.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that 200 kid tickets were purchased. We know that a singular movie ticket is $5.25.
200 x 5.25 = 1050.
The total cost of those tickets is $1050.
Let t be the variable that represents the number of kid's tickets and c is the total cost, from this equation:
$5.25t = c.
Now multiplied by t (total amount of child tickets) and the product would be the total cost of those tickets (c).
The answer is $5.25t = c.
On another day, the total cost of the tickets was; $813.75. One kid movie ticket is $5.25 thus;
$813.75 ÷ 5.25 = 155.
The total amount of tickets that were purchased that day was; 155 child tickets.
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please help for a cookie
Answer:
B
Step-by-step explanation:
Can someone please help me solve this question? 7-3r=r-4(2+r)
Answer:
There is no solution
Step-by-step explanation:
7−3r=r−4(2+r)
Step 1: Simplify both sides of the equation.
7−3r=r−4(2+r)
7+−3r=r+(−4)(2)+(−4)(r)(Distribute)
7+−3r=r+−8+−4r
−3r+7=(r+−4r)+(−8)(Combine Like Terms)
−3r+7=−3r+−8
−3r+7=−3r−8
Step 2: Add 3r to both sides.
−3r+7+3r=−3r−8+3r
7=−8
Step 3: Subtract 7 from both sides.
7−7=−8−7
0=−15
Answer:
There are no solutions.
Find the value of b for the triangle using the Pythagorean Theorem.
Step-by-step explanation:
Hey there!
Given;
The given figure is a Right angled triangle, taking reference angle as angle B.
Hypotenuse= AB=5
Base= CB= 4
Perpendicular= AC=b
Using Pythagorean theorem.
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
Put all values.
[tex]b = \sqrt{ {5}^{2} - {4}^{2} } [/tex]
[tex]b = \sqrt{25 - 16} [/tex]
[tex]b = \sqrt{9} [/tex]
Therefore, the value of b is 3.
Hope it helps...