Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
We will calculate the future value of each option and determine the difference:
Simple interest:
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
Compounded interest:
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15
2 The triangle and the rectangle shown below have equal perimeters. Find the measures of the side lengths of the triangle. (Figures not drawn to scale) 4(x-1) *+8 3x-1 5x +
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.When side lengths are given, add them together.
Solve for a missing side using the Pythagorean theorem.
If we know side-angle-side information, solve for the missing side using the Law of Cosines.
Jayden used 20 color ties to make a design above his stove 15 out of 20 of his tires were green what is an equivalent fraction for the green tie
Answer:
3/4
Step-by-step explanation:
15.20 simplified = 3/4
Do this please!!!!!!!
The position labeled 1 represents the season of summer in the Eastern Hemisphere.
Is the following relation a function?
Answer: Yes
Step-by-step explanation:
A quantity with an initial value of 120 decays exponentially at a rate of 9.5% every 7
hours. What is the value of the quantity after 3.25 days, to the nearest hundredth?
Answer:
39.46
Step-by-step explanation:
Please help will mark as brilliant<3
Tell whether the ratios form a proportion.
2:45, 34:310
i need help -45=-155+x
Answer:
x = 110
Step-by-step explanation:
Name the property that proves these triangles are congruent
Answer:
triangle
Step-by-step explanation:
I need help ASAP!!!!
Answer:
3/10
Because there are 10 balls in all and there is one softball and two baseballs, so in total there are 3 balls that they want to try and pull. That's why it is 3/10.
Hope This Helps!
Find the surface area of the cylinder in terms of pi
Answer:
can u include a picture of the cylinder pls luv
Step-by-step explanation:
What is negative 2 3/8 as a decimal?
Find the slope of the line that passes through the points (2,-4) and (6,12)
Answer:
m=4
Step-by-step explanation:
double checking
i think a and h but not sure
Answer:
C and G
Step-by-step explanation:
You have two lines intersected by a transversal. The transversal is labeled t. The other two lines are "the two lines".
Corresponding angles must be both on the same side of the transversal and they must be either both above the two lines or both below the two lines.
All 4 pairs of corresponding angles in this figure are listed below:
a, e
c, g
b, f
d, h
The only one of those pairs in the choices is c, g
Answer: C and G
Triangle ABC has coordinates A(1, 3), B(5, 6), and C(4, 8). 1.State the coordinates of A’B’C’, ABC after a 90 o counterclockwise rotation. [2 pts] 2.Plot the graph of A’B’C’. [2 pts] 3.State the coordinates of A”B”C”, A’B’C’ after a 180 o clockwise rotation. [2 pts] 4.Plot the graph of A”B”C”. [2 pts]
Answer:
66
77
u will do great u go guy
PLEASE I NEED AN ANSWER NOW WILL MARK U BRAINLIEST!!!1!
how do u find y intercept without a graph for systems of equations? (y = x - 6)
Answer:
-6 is the y intercept.
the number added or subtracted from the x in the slope intercept form is always the y intercept
Step-by-step explanation:
plz mark me brainliest
12. The tax on a property with an assessed value of $90,000 is $225. Find the tax on a property with an assessed value of
$125,000.
Answer:
i am not shure but i hope the step by step worked
Step-by-step explanation:
40% of the estimated market value. What is the market value of the property? 1. 70,000 2. 90,000 3. 157,000 4. 175,000.
Is a repeating decimal a rational number, someone help ASAP
Answer:
I think it's C or D
Step-by-step explanation:
All decimals are rational numbers and so are repeating ones
Answer:
Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.
Step-by-step explanation:
Find the percent change from 75 to 24.
212.5%
The percentage increase from 24 to 75 is 212.5%.
I need help will give crown
Answer:
$15 per hour and he worked 5 hours yesterday.
Step-by-step explanation:
Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.
Set up the equation like this.
7x=105
Divide by 7 to isolate the x
x=15
That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.
15x=75
Divide by 15 to isolate the x
x=5
That means he worked 5 hours yesterday.
P.S. give me crown
Answer:
He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5 hours that day and he made 75 dollars.
Step-by-step explanation:
This is a short answer so u dont have to write that much.
PLEASE HELP FAST ITS TIMED! I Will Give Brainlist And Extra Points!
Answer:
-8, -5
Step-by-step explanation:
the answer to number one is -8. For functions, you just plug in the number in the parenthesis for x and then you solve. For number two, it is -5.
Answer:
-8, -5
Step-by-step explanation:
Tell whether x and y are proportional.
1, 2, 3
7, 8, 9
Sue bought five sweatshirts all for the same price. The tax on the purchase was $2.50 and the total was $47.50. What was the cost of each sweatshirt?
Clara lends half her marker collection to her sister, Susan. Clara then buys four more markers. If she has 12 markers now, how many markers did Clara have initially?
show your work
HELP THANKYOUUUUU
Answer:
For the second question, the answer is 16 markers.
Step-by-step explanation:
12-4=8 8+8=16
PLEASE HELP! BRAINLIEST IF CORRECT!
Which variable is most important to the following problem?
Dorothy played the first 17 minutes of the game. Evelyn then replaced her for the rest of the half. Evelyn started the second half and was replaced by Dorothy with 21 minutes left in the game. If each half is 45 minutes long, how many minutes did Evelyn play?
A. the length of a half
B. the amount of time Evelyn played
C. the number of players on a team
Step-by-step explanation:
B she played 52 minutes long
C 11 players
A length if a half 15
THE SUM OF TWO NUMBERS IS 96. THE
DIFFERENCE OF TWICE THE LESSER
NUMBER AND HALF THE GREATER NUMBER IS
22. WHAT ARE THE TWO NUMBERS?
Answer:
59 + 37
Step-by-step explanation:
96/2 = 48
48 - 11 = 27
48+11 = 59
Order the set of integers from greatest to least. {8, 43, -25, 12, -14, 3}
Step-by-step explanation:
{43, 12, 8, 3, -14, -25}
4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm
You are fishing at Lake hilton and intend to catch two types of fish: salmon and trout. Local fishing laws allow you to catch at most 10 salmon and at most 8 trout. You intend to capture more salmon than trout. You need to catch at least 5 fish for the family dinner tonight. Let x = the number of salmon and y = the number of trout. Which of the following inequalities are needed to represent this system? Choose all that apply. *
y > x
x ≤ 8
x + y > 5
y ≤ 10
y ≥ 0
x ≤ 10
x > y
x ≥ 0
x + y ≥ 5
y ≤ 8
Answer:
x+y >= 5
y<=8
x<=10
x>y
Step-by-step explanation:
x+y is greater or equal to 5 because you need at least 5 for dinner.
y is less than equal to 8 because the fishing laws state you can't have more than 8 trout.
x is less than equal to 10 because the fishing laws state you can't have more than 10 salmon.
x>y because you intend to catch more salmon than trout
please help i need this done by the next hour and i’m failing and struggling
3. The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
1. An arc has a central angle of 1.8 radians and a radius of 20 inches. a. Determine the length of AB in inches
b. to the nearest degree what is the measure of
Answer:
Question 3)
[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]
[tex]\angle BCA\approx103^\circ[/tex]
Question 1)
[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]
[tex]A\approx44.5\text{ cm}^2[/tex]
Step-by-step explanation:
Question 3)
We are given that the central angle is 1.8 radians and has a radius of 20 inches.
Part A)
The formula for arc length in terms of radians is given by:
[tex]s=r\theta[/tex]
Where s is the arc length, r is the radius, and θ is the angle in radians.
In this case, r is 20 and θ is 1.8. Hence, the arc length is:
[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]
Part B)
∠BCA is the central angle that measures 1.8 radians.
We can convert radians to degrees using the following formula:
[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]
Where d is the measure in degrees, and θ is the measure in radians.
Therefore:
[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]
Question 1)*
Part A)
We will use the arc length formula in degrees given by:
[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]
Where r is the radius and θ is the angle measured in degrees.
We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:
[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]
Part B)
We will use the formula for the area of a sector in degrees given by:
[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]
So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:
[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]
*Notes:
For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.
Answer:
(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;
Step-by-step explanation:
1).
(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )
(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches
3).
(a). The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm
(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²
What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr