Answer:
The interest is 450 ⇒ C
Step-by-step explanation:
The formula of the simple interest is I = Prt, where
I is the intersetP is the investment amountr is the rate in decimalt is the time in years∵ Birr invested 2500 at 6% simple interest per annum for 3 years
∴ P = 2500
∵ r = 6%
→ Divide it by 100 to change it to decimal
∵ 6% = 6 ÷ 100 = 0.06
∴ r = 0.06
∴ t = 3
→ Substitute them in the formula above
∵ I = 2500 × 0.06 × 3
∴ I = 450
∴ The interest is 450
Find the 7th term of the following arithmetic sequence. a1 = -12, d = 2
Answer:
The 7th term is 0
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because every term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
Where
an = nth term
a1 = first term
d = common difference
n = number of the term
We are given the first term a1=-12 and the common difference d=2. Let's find the 7th term (n=7):
[tex]a_7=-12+(7-1)2[/tex]
[tex]a_7=-12+12=0[/tex]
The 7th term is 0
PLEASE CAN SOMEONE HELP ME???
Answer:
-8,4 and 4,-5
Step-by-step explanation:
Select the best method of finding an accurate solution to a system of linear equations.
A:use algebraic methods
B:graph the lines
C:guess and check
please help me fr im struggling
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex] - 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
This year, students in the 9th grade are collecting dimes and quarters for a school fundraiser. They are trying to collect more money than the students who were in the 9th grade last year. The students in 9th grade last year collected $143.88. Using LaTeX: dd to represent the number of dimes collected and LaTeX: qq to represent the number of quarters, which statement best represents this situation? Group of answer choices LaTeX: 0.25d + 0.1q \geq 143.880.25 d + 0.1 q ≥ 143.88 LaTeX: 0.25q + 0.1d \geq 143.880.25 q + 0.1 d ≥ 143.88 LaTeX: 0.25d + 0.1q > 143.880.25 d + 0.1 q > 143.88 LaTeX: 0.25q + 0.1d > 143.88
Answer:
[tex]0.10d + 0.25q > 143.88[/tex]
Step-by-step explanation:
Let the total dimes collected be d.
[tex]1\ dime = \$0.10[/tex]
[tex]d\ dimes = \$0.10d[/tex]
Let the total quarters collected be q.
[tex]1\ quarter = \$0.25[/tex]
[tex]q\ quarters = \$0.25q[/tex]
[tex]Last\ Year = \$143.88[/tex]
Required
Represent as an inequality
The total collection, this year, can be represented as:
[tex]Total = 0.10d + 0.25q[/tex]
From the question, we understand that:
This year's collections is expected to be greater than last year's
This can be represented as:
[tex]Total > Last\ Year[/tex]
Substitute in the right values:
[tex]0.10d + 0.25q > 143.88[/tex]
Help please due now!
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
how big is a 150 x 150 home lot?
Answer:
22500
Step-by-step explanation:
150 x 150 will be 22500
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
A triangle, a square, and a circle lie in the same plane. What is the maximum possible number of intersections points that can occur?
PLEASE HELP ME NOW! IM FREAKING OUT I REALLY NEED AN ANSWER!!!
Answer:
The maximum possible is 20 intersections.
Step-by-step explanation:
What is the constant of proportionality in the equation y = 5/3x?
Answer:
x = 98
Step-by-step explanation:
What should you do when you see an animal on the road in front of your car?
Answer:
it depends. If you are driving really fast then hit it. Your life matters more than the animal. But if you are driving slow, then try to stop as long as there isn't anyone behind you.
Step-by-step explanation:
NEVER SWERVE OFF THE ROAD
Answer: Grab a towel or a piece of clothing and wrap it around the animal to protect it from harmful virus’s and diseases we might transmit to them. Then walk 30 feet away from the road and carefully place the animal on flat ground.
Step-by-step explanation: Hope this helps! Btw, I found this from an instructional video I found. So I don’t take any credit. ;)
Select ALL that apply.
Answer:
your picture is not loading for me
Anybody know the answer??
Answer:
Graph (A) represents y=xWhat formula would you write for this line?
Answer:
i was able to get y = 1.3x - 2
Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer
PLSSS HELPPP. What is the domain and range of the relation {( -4,2), (-9,-5),(-4,12),(8,-8)}
Answer:
The domain is;
{-4,-9,-4,8}
The range is
{2,-5,12,-8}
Step-by-step explanation:
The domain refers to the values of the function on the x-axis while the range refers to the values of the function on the y-axis
The domain is thus;
{-4,-9,-4,8}
The range is;
{2,-5,12,-8}
Find the unknown side length. Write your answer in simplest radical form.
Answer: 1. x= 20 units, 2. x= [tex]5\sqrt{3}[/tex] units 3. x= [tex]4\sqrt{2}[/tex] units.
Step-by-step explanation:
In a right triangle,
[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex] (Pythagoras theorem)
1. Hypotenuse = x , Base = 16, Perpendicular = 12
[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]
2. Hypotenuse = 14 , Base = 11, Perpendicular = x
[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]
3. Hypotenuse = 9 , Base = x, Perpendicular =7
[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]
please help will give brainliest
Answer:
C
Step-by-step explanation:
AE = 14.6 I think. If I'm wrong, use whatever number it is.
Sin(x) = 5/14.6
Sin(x) = 0.3425
x = Sin-1 (0.3425)
x =20.03
Now the other larger triangle has an acute angle of 90 -20.03 = 69.97
===================
Cos(69.97) = 13.1/DE
DE = 13.1/cos(69.97)
DE = 38.25
Does this table represent a proportional relationship?
Yes
No
no
the table does not represent a proportional relationship.
Solve for Y
-6x-2y+8
Step-by-step explanation:
-6x-2y+8
-6x -6x
÷-2 (-2y=-6x+8)
3x=-4
x= 3x
y= -4
y=-4-3x
Help me fast and you get 10 points
Answer:
The percent of discount is 35%
Step-by-step explanation:
Please help me I really need help the picture is above.
Answer:
Quick
Step-by-step explanation:
which list has the angles of ABC in order from smallest to largest ?
Answer:
Answer choice A (<A,<B,<C)
Step-by-step explanation:
I have attached a rough drawing of this type of triangle (not to scale)
The longest side of the triangle is always the side opposite of the largest angle. Since side AB is the longest, we know that angle C is the largest angle.
This is also true for the smaller angle. The smallest angle is always opposite the shortest side. The shortest side is side BC. The angle opposite this side is angle A, meaning angle A is the smallest.
Hope this helps :-)
~ Hi ~ wonderful ~ people! ~ Can ~ you ~ please ~ help ~ me ~ on ~ this ~ question? ~
Answer:
49π ft²
Step-by-step explanation:
The area for a circle is A=πr² (Area=pi times radius squared)
and d=2r (diameter = 2 times the radius)
So, if we want to find area using the radius, we can get rearrange the equation d=2r to get r= d/2
r=d/2
r=14/2
r=7 ft
Then we can plug that answer into the area equation.
A=π×7²
7 squared is 49 so
A=49π ft²
Student Council needs $600 for the
spring dance. They only have $210 in the
treasury. The Student Council decides to raise
the rest by selling chocolate lollipops for a $1.50
profit per lollipop. Write and solve an equation
the Student Council could use to find the
number of chocolate lollipops, c, the Student
Council must sell to have the money for the
spring dance.
Answer:
$490MARK ME AS BRAINLY#Carry On Learningi need help with this can you show me some work so i can do it by my self after
Answer:
Step-by-step explanation:
1) √36 = 6
2) ^3 √8 = 2
3) ^3 √64 = 4
HELP ASAP PLEASE!!
what is the distance (in units) between points C and D? round your answer to the nearest hundredth.
1) 4.54 units
2) 5.00 units
3) 5.83 units
4) 34.00 units
Answer:
2
Step-by-step explanation:
If the lengths of the sides of a
Switzerland flag are 10 ft, what is the area of the flag?
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer