[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\$2300\\ P=\textit{initial amount}\dotfill &\$15100\\ r=rate\to 12.25\%\to \frac{12.25}{100}\dotfill &0.1225\\ t=years \end{cases} \\\\\\ 2300=15100(1 - 0.1225)^{t}\implies \cfrac{2300}{15100}=(1 - 0.1225)^{t}\implies \cfrac{23}{151}=0.8775^t[/tex]
[tex]\log\left( \cfrac{23}{151} \right)=\log(0.8775^t)\implies \log\left( \cfrac{23}{151} \right)=t\log(0.8775) \\\\\\ \cfrac{~~\log\left( \frac{23}{151} \right)~~}{\log(0.8775)}=t\implies 14.4\approx t\qquad \textit{about 14 years and 146 days}[/tex]
∠A and ∠B are corresponding angles, the measure of \angle ∠A is 110
Answer:
Step-by-step explanation:
if the measure of <A is 110°
Then the measure of <B is also 110°
Find the area of the figure.
Answer: 300 ft^2
Step-by-step explanation:
First, find the area of the rectangle on the bottom:
Area of a rectangle = length * width = 18 * 12 = 216
Now, find the area of the trapezoid:
Area of a trapezoid = (base 1 + base 2) / 2 * height → (10 + 18) / 2 * 6 = 84
Add these together: 216 + 84 = 300 ft^2 :)
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answer:
see below for the whole unit activity
Step-by-step explanation:
Need help math.............
Answer:
P=39
Step-by-step explanation:
8X6=48 there's already 9 so
48-9=39
so p=39
18. Find the surface area of the prism.
Step-by-step explanation:
the total surface area is the sum of the individual areas on the surface.
we have
2 triangles (top and bottom)
1 front rectangle
2 rectangles in the back
the area of a triangle is
baseline × height / 2
1.7 × 0.5 / 2 = 0.425 in²
both triangles together : 2×0.425 = 0.85 in²
the area of a rectangle is
length × width
so, the front is
1.7 × 1.5 = 2.55 in²
one back rectangle is
1 × 1.5 = 1.5 in²
both back areas are 2×1.5 = 3 in²
so, the total surface area is
0.85 + 2.55 + 3 = 6.4 in²
To train for a marathon, Lily plans on running 4 miles per day for the first week and then increasing that daily distance by 1 mile each of the following weeks.
Which of these equations represent the problem.
The equation which represent the problem is given by an = 4 + 1.00(n - 1)
How to write equation?Number if miles Lily run per day first week = 4 miles
Additional miles per day each week = 1 mile
let
n = total miles
The equation:
an = 4 + 1.00(n - 1)
When n = week 2an = 4 + 1(n - 1)
= 4 + 1(2 - 1)
= 4 + 1(1)
= 4 + 1
= 5 miles
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576 = 96 × 6
Which statement does the equation represent?
A. 96 is 6 more than 576
B. 576 is 96 more than 6
C. 96 is 6 times as many as 576
D. 576 is 96 times as many as 6.
Answer:
D
Step-by-step explanation
A.96=6+576
B.576=96+6
C. 96=6×576
D. 576=96×6
the gravitational potential energy of an object is given by the formula p= mfg. which equation is correctly solved for the height, h?
a. h= p + mg
b. h= p-mg
c. h= p/(mg)
d. h=pmg
Step-by-step explanation:
c. h= p/(mg)
HOPE it helps
NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
When dividing fractions that are represented in the same terms, their quotient is simply the quotient of their numerators. Write an equation that demonstrates this.
Answer/Step-by-step explanation:
Quotient is simply the ratio of the first numerator to the second numerator:
Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.
Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}
=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]
Quotient is simply the quotient of their numerators.
Example could be:
[tex]\frac{2}{7}\div\frac{3}{7}[/tex]
[tex]\frac{2}{7}\times\frac{7}3}[/tex]
[tex]\frac{2}{3}[/tex]
2 is first numerator and 3 is the second numerator.
~lenvy~
Please help me this question
This is the answer. If this helps you please give brainliest.
Work Shown:
[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]
The 2^x matches with 2^5, showing that x = 5.
3^y matches with 3^3 to get y = 3
Therefore, x+y = 5+3 = 8
I forgot to do homework and its due tomorrow
Solve:
-2 3/4 ÷ (-2.5)
Answer:
It is 1.1
Step-by-step explanation:
-hope this helps.
How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many
Hey there!
Let's solve this equation.
5x+3x-4=10
add the x's
8x-4=10
add 4 to both sides
8x=10+4
8x=14
divide both sides by 8
x=14/8
Reduce the fraction;
x=7/4 (improper fraction)
x=1+3/4 (mixed number)
Hence, the equation has 1 solution.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
Answer:
i presume it has
Step-by-step explanation:
only 1 solution.
combine like terms & then solve
PLEASE HELPP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See below.
Step-by-step explanation:
Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.
94 and 86
119 and 61
-hope it helps
if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?
Answer:
Step-by-step explanation:
Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.
f(x) = x^2
f(x + 4) = (x + 4)^2
To show you this in graphical form, see below.
Red: f(x) = x^2
Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph
Please help answer this and give explanations. 20+ Points
Answer:
7 pairs of shoes
Step-by-step explanation:
So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.
First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).
Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).
x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.
Hope this helps! :)
What is the space between two intersecting lines called?.
Answer:
The space between two intersecting lines is called an:
Angle
An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.
360 degrees (one time round) x 2 = 720 degrees (two times round)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Describe these points with a double inequality
Answer:
-3 < x ≤ 13
Step-by-step explanation:
the filled circle is the less/greater than or equal to sign and the open circle is a less/greater than sign.
5. A rectangle has an area of 16 cm². Do you know its length?
Answer:
144 [tex]cm^2[/tex]
Step-by-step explanation:
Answer:the answer were to your question is 4
Step-by-step explanation:
Put me on brainlyiest pls
Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?
Answer:
(4,5) (4,8)(4,6)
Step-by-step explanation:
So now you're reflecting over the horizontal line that passes through the point (0,5)
:))
Step-by-step explanation:
(4,5),(4,6),(4,8)
the answer is this!
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had traveled 176 miles, what was the total length of the trip?
Ignore this I deleted my answer cause I missread the question...
can someone please help me
Answer:
1 - 50
5 - 90
10 - 140
50 - 540
Step-by-step explanation:
The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40
Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.
Answer:
He has ridden 90 miles
Step-by-step explanation:
7.2 X 12.5 = 90
What is the measure of an angle at the centre whose radius is equal to arc length?
Answer:
radian
Step-by-step explanation:
A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.
Hope it helps!!!Brainliest pls!!!The measure of an angle at the center is 1 radian.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
Radius is equal to arc length.
To find the measure of the angle at the center:
We have the formula,
Angle in radian = arc length / radius
Let a be the arc length,
then a be the radius.
Substituting the values,
Angle in radian = a/a
Angle in radian = 1 radian
Therefore, 1 is the measure of an angle at the center.
To learn more about the angle measure;
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can anyone help me with this problem? Please it would be great.
Find the missing side of the triangle.
Answer:
[tex]\displaystyle 45 = x[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]
I am joyous to assist you at any time.
Which graph matches the equation y+5 = (x + 4)?
Please hurry
Answer:
Sorry i don’t know the answer
Step-by-step explanation
I don’t know
Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?
Answer:
8,070 meters
Step-by-step explanation:
First we add :)
410 + 370 = 780
Now we subtract :)
8,850 - 780 = 8070
Have an amazing day!!
Please rate and mark brainliest!!!
A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?
Answer:
70° and 20°
let the other 2 angles be 7x and 2x
90+7x+2x=180
9x=180-90
x=90/9
x=10
7x=7x10
70
2x=2×10
2p
Leah invests money in an account paying simple interest. She invests $180 and no money is added or removed from the investment. After one year, she has $192.60. What is the simple percent interest per year?
The final statement is: The rate of interest is 7% and simple interest is $12.60
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal =$180 And amount after one year=$192.60
Therefore simple interest= 192.60-180
=12.60
∴12.60=180×r×1/100
r=7%
Hence, The rate of interest is 7% and simple interest is $12.60
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Which fraction is closer to 0 than to 1 ? Choose all that apply .
A. 5/8
B. 2/6
C. 1/4
D. 4/6
E. 3/8
how many 1/4 foot cubes would fill the inside of a rectangular prism
Answer: 192 cubes.
Step-by-step explanation: Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube’s volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.