880$ at 5.25% for 2 years
Answer:
$977.20
Step-by-step explanation:
We will use the compound interest formula to solve this: A = P(1 + R) ^ T
Using this formula we plug-in the values that we already have:
A = 880(1 + .0525) ^ 2
Now if we solve this, we end up with 977.20. That is your answer.
Another path in the community is 2.1 miles long. It also has benches at 1/3 and 2/3 of the distance from the beginning to the end of the path. How far in miles, is each from the beginning of the path?
PLEASE HURRY
Answer:
0.7 miles
1.4 miles
Step-by-step explanation:
Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles
Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles
Solve the right triangle. Round all answers to the nearest tenth.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the side KL is 30.81 units.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The measure of ∠J can be written as,
Cos(∠J) = JK/JL
Cos(∠J) = 7/31.6
∠J = 77.2°
Similarly the length of side KL can be written as,
Tan(∠J) = KL/JK
Tan(77.2°) = KL/7
KL = 30.81 units
Hence, the length of the side KL is 30.81 units.
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Using the following figure select all statements that are TRUE. (Write the number of the statement and separate them with a comma)
Answer:
3
Step-by-step explanation:
Can anyone help me with this area of sector activity? I'm not sure how to solve this. I will reward brainliest! Please tell me how you got your answer as well! this is 10th grade geometry
Answer:
Jenny has worked out the area of the whole circle using the formula π × r² where r is the radius length. She has assumed π is 3.14 which leads to her working of 3.14 × 10² = 314 units². She has to divide the total area by 4 to calculate the sector area.
Let's check
Angle is 90°Radius is 10Area of sector
Ø/360×πr²90/360×pi(10)²1/4×π(100)25π78.5units²Write a linear function, x(t), for the total distance in miles hiked in terms of total time hiking in hours using the data from the table.
Write a quadratic function, y(t), for elevation in terms of the total time hiking in hours using the data in the table. Find a system of three equations and three unknowns to write the equation
pls help! I'm super confused! here is the table
The system of three equations and three unknowns to write the equation are: 5t²+80t+6990.
EquationGiven:
Elevation Travel time
6990 feet 0 hours
8290 feet 10 hours
10875 feet 21 hours
Using this formula
y(t)=at²+bt+c
Where:
At:
t=0; y=6990
6990=a(0)²+b(0)+c
c=6990 Equation 1
At:
t=10; y=8290
8290=a(10)²+b(10)+6990
1300=100a+10b Equation 2
At:
t=21; y=10,875
10875=a(21)²+b(21)+6990
3885=441a+21b Equation 3
Using equation 2 and 3 to solve for a and bc
1300=100a+10b
1300-10b/100=a
13-0.1b=a
Plug into equation 3
3885=441(13-0.1b)+21b
3885=5733-14.1b+21b
b=80
a=13-0.1(80)
a=13-8
a=5
Hence:
Write the Equation by plugging a,b and c
y(t)=5t²+80t+6990
Therefore the system of three equations and three unknowns to write the equation are: 5t²+80t+6990.
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Find the approximate volume of a cylinder that has a radius of 4 inches and a height of 6 inches. Use 3.14 for Pie
150.72 cubic inches
163.28 cubic inches
301.44 cubic inches
452.16 cubic inches
I need the the number
y=3x+3
Step-by-step explanation:
The m is 3 because it is rise over run. For every 3 up it goes one over (3/1) or just 3. The b is 3 because b is where x equals 0 and it is at 3.
How is the quotient of 874 and 23 determined using an area model?
Enter your answers in the boxes to complete the equations.
874 ÷ 23 = (
÷ 23 ) + (
÷ 23 )
874 ÷ 23 =
+
874 ÷ 23 =
The quotient of 874 and 23 determined using an area model is 38.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
= 874 ÷ 23
= (800 + 74 + 4) ÷ 23
We can get the answer by using the area model:
If divide 874 with 23 we get 184 as a remainder and 030 as a quotient
Further, if we divide 184 with 23 we get 0 as a remainder and 008
874 ÷ 23 = 030 + 008 = 38
Thus, the quotient of 874 and 23 determined using an area model is 38.
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In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
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if u answered on the same 1 move on
help me i dont get this
The two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
How to make a two-way table from the frequency table?The table is given as:
Aerobic Anaerobic
Male 88 104
Female 96 62
The column total are:
Aerobic = 88 + 96 = 184
Anaerobic = 104+ 62 = 166
So, we have:
Aerobic Anaerobic
Male 88/184 = 0.48 104/166 = 0.63
Female 96/184 = 0.52 62/166 = 0.37
The total count of the table is
Total = 184 + 166 = 350
So, we have:
Aerobic Anaerobic Total
Male 0.48 0.63 (88 + 104)/350 = 0.55
Female 0.52 0.37 (96 + 62)/350 = 0.45
Hence, the two-way table that shows the joint and the marginal relative frequencies is:
Aerobic Anaerobic Total
Male 0.48 0.63 0.55
Female 0.52 0.37 0.45
Total 1 1 1
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Based on the number of males and females doing aerobic and anaerobic respiration, the relative and marginal frequencies can be shown as:
Aerobic Anaerobic Total
Male 47.8% 62.7% 54.9%
Female 52.2% 37.3% 45.1%
100% 100% 100%
What are the relative and marginal frequencies given?The frequencies for males are:
Aerobic = 88 / (88 + 96) Anaerobic = 104 / (104 + 62)
= 47.8% = 62.7%
For females:
Aerobic = 100% - 47.8% Anaerobic = 100 - 62.7%
= 52.2% = 37.3%
Total males frequency: Total females
= (88 + 104) / (88 + 104 + 96 + 62) = 100% - 54.9%
= 54.9% = 45.1%
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Pls solve 3c for me.will mark branliest a
.
Step-by-step explanation:
if you could solve 3a and 3b, you can also solve 3c. it is the same principle.
x-intercepts means y = 0.
remember, a square root has always 2 results : a positive and a negative one.
3c
0 = -(x - 3)² + 25
(x - 3)² = 25
x - 3 = ±5
x1 = +5 + 3 = 8
x2 = -5 + 3 = -2
3a
0 = (x + 1)² - 4
4 = (x + 1)²
±2 = x + 1
x1 = +2 - 1 = 1
x2 = -2 - 1 = -3
3b
0 = (x + 2)² - 9
9 = (x + 2)²
±3 = x + 2
x1 = +3 - 2 = 1
x2 = -3 - 2 = -5
20% tip on a bill of $53.18
Answer:
$10.64
Step-by-step explanation:
20% out of $53.18 is $10.636 rounded to $10.64
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| < |-45|
C. |45| > 0
D. |4.5| > |-45|
Answer:
D is not true.
Step-by-step explanation:
[tex] |4.5| = 4.5[/tex]
[tex] | - 45| = 45[/tex]
[tex]4.5 \leqslant 45[/tex]
Type the correct answer in the box. Use numerals instead of words
In circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places.
2.9 cm B m DAB= radians
I NEED HELP ASAP!
The measure of angle DAB in the circle shown with the given arc length is: 2.23 radians.
What is the Length of an Arc?Arc length = θ × r, where r is the radius of the circle, and θ is the central angle in radians.
Given the following:
Length of arc = 6.47 cm
Radius (r) = 2.9 cm
θ = m∠DAB
Plug in the values into the arc length formula:
6.47 = θ × 2.9
6.47/2.9 = θ
θ = 2.23 radians
m∠DAB = 2.23 radians
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Answer:
DAB = 2.23 radians
Hope this helps!
Step-by-step explanation:
At the sweet stuff fresh produce the price of the bag of grapes… (cont in photo)
Answer:
i think it is D but I am not for shore
Percentage:
A shop has 150 gaming pc. They sold 30.
Find the percentage of the PC that they have not sold.
a car travels at an average speed of 40km/h for 2.2 hours how far did the car travel in km
Answer:
88km
Step-by-step explanation:
If a car travels 40 km in 1 hour, then that same car would travel 40*2.2 km in 2.2 hours.
So, the car travelled 88km in 2.2 hours
Remember that speed is a rate!
Answer:
speed=distance/travel time
distance=2*40+60*3=80+180=260 km
travel time=2+3=5 hrs
Average speed during entire journey=260/5=52 km/h
- What is h(-8) for h(x) =
4
F.
-40
G. -72
H. -52
J. -60
-7x?
Answer:
16
Step-by-step explanation:
quanto é 756 dividido por 63
Answer:
the answer is 12
Step-by-step explanation:
[tex] \frac{756}{63} \\ = 12[/tex]
PLEASE HELP WILL GIVE BRAINLEST! Which trigonometric function does the graph below represent?
Answer:
Answer In this Picture.
Determine the equation of the circle graphed below.
Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2
(h, k) = center of the circle
r = radius of the circle
Center = (2, 0)
Radius = 7
Equation: (x - 2)^2 + (y - 0)^2 = 49
Answer: (x - 2)^2 + y^2 = 49
Hope this helps!
which clock shows 25 minuites after 4:00?
Answer: attached a picture
The fourth clock shows the time 25 minutes after 4:00.
The correct option is IV.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
There are four clocks.
To watch the time on the clock:
The small arrow line shows the time in hours.
And the large arrow shows the time in minutes.
At the first clock;
The time is 11:20.
At the second clock;
The time is 11:40.
At the third clock;
The time is 12:20.
At the fourth clock;
The time is 4:25.
25 minutes after 4:00 means the large arrow will be pointing towards 5.
Because 25 = 5 x 5.
Therefore, all the times on the clocks are given above.
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The complete question;
From the given choices,
which clock shows 25 minutes after 4:00?
The options are given in the attached image.
A triangle has sides with lengths of 17 feet, 31 feet, and 36 feet. Is it a right triangle?
yes
no
Write a system of inequalities using the given graph
Take two points
(-2,1)(0,-3)Slope
m=-3-1/0+2=-4/2=-2Parallel lines so slopes are equal
Only y intercept will vary
So both lines have y intercept at -3 and -1 respectively
The equations
y=-2x-3y=-2x-1Put (0,0) on first one
0>-3On second one
0>-1So as lines are dashed symbols remain >
The inequalities are
y>-2x-3y>-2x-1combien font 3579+826
Write an expression that represents the weigh of and object that weighs 12 pounds and increases by 0.5 pound per month, m.
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The two co-captians can be chosen in 21 different ways.
How many ways are there to choose the co-captains?
If the two co-capitans are equivalent, then we need to find combinations.
So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.
This is given by:
[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]
So the two co-captians can be chosen in 21 different ways.
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help________________
Answer:
302cm³
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{\frac{4}{3} \pi r^{3}} {2}[/tex] (volume of a sphere over 2)
Plugging in 4 for r we get the answer of [tex]\frac{256}{6}\pi[/tex]
Next we have to find the height of cone. We can get this by subtracting the radius of the hemisphere from the height of the solid. (14-4=10)
We can now find the volume of the cone using the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]
Plugging in 4 for r and 10 for h we get the answer [tex]53 \frac{1}{3} \pi[/tex]
Now we can add our 2 volumes to get the volume of the solid which is 302 in decimal form (3 significant figures)
That is the answer
- Kan Academy Advance
this composite figure is made up of three similar shapes. what is the area of the figure?
Answer:
D : 66
Step-by-step explanation:
separate the composite figure into 3 different shapes then multiple then find the area of them all. after this just add them and you're good to go
also to get the area of a triangle you gotta add both sides then divide by 2.
