Answer:
170 years
Step-by-step explanation:
R/100=2.5%
time= 100=0.025 per year (1/0.025) (5200\1000)-1=168
time=168 years
Answer: 7.7 years
Step-by-step explanation:
Total amount = Principle + Interest = 5200 + 1000 = 6200
A = P(1 + rt)
6200= 5200[1+(0.025)(t)]
6200=5200+130t
-130t=5200-6200
-130t=-1000
t=100/13
t= 7.7 years
A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road?
between 1 and 2 hours
between 2 and 3 hours
between 3 and 4 hours
between 4 and 5 hours
Answer:
Between 3 and 4 hours
Step-by-step explanation:
Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:
[tex]45x+60y=360[/tex]
Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:
(see picture)
Since both trucks left the warehouses at the same time, we need that: [tex]x=y[/tex]
And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.
I hope this helps.
How to make the mark of degree on the calculator ??
Answer:
most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator
Help meee please thank you will mark brainlist….
Answer:
It's 47 because it's an isosceles triangle.
Step-by-step explanation:
Answer:
F is equal to 47
Step-by-step explanation:
G is equal to F
Which equations are true equations?
Select all correct answers.
24/2^2=50−62−8
56÷8+32=2⋅23
82−52=42−7
39−3⋅6=6⋅104+4
Answer: 24/2^2=50−62−8
Step-by-step explanation:
The equations which is true equation is 24/2² = 50−6²−8.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. 24/2² = 50−6²−8
LHS = 24/2² = 24/4 = 6
RHS = 50−6²−8 = 6
2. 56÷8+32=2⋅23
LHS = 56÷8+32 = 7 + 32 = 39
RHS = 2⋅23 = 46
3. 8²−5² =4²−7
LHS = 8²−5² = 39
RHS = 4²−7 = 21
4. 39−3⋅6=6⋅104+4
LHS = 39−3⋅6 = 35.4
RHS = 6⋅104+4 = 528
Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.
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how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1
Answer:
(0,-1),(2,5)
Step-by-step explanation:
3x-y=1
0.5[tex]x^{2}[/tex]+2x-1=y
Substitute the equation of y into the other equation
3x-(0.5[tex]x^{2}[/tex]+2x-1)=1
3x-0.5[tex]x^{2}[/tex]-2x+1=1
collect like terms
-0.5[tex]x^{2}[/tex]+x=0
Solve for x
x(-0.5x+1)=0
0=-0.5x+1
-1=-0.5x
x=2 x=0
Back substitute into the other original equation and solve for y
3(2)-y=1
6-y=1
y=5
(2,5)
3(0)-y=1
-1(-y)=-1(1)
y=-1
(0,-1)
R, P, Q act on the base AB, BC, CA triangles ABC in alphabetical order, respectively. Show that P sec A + Q sec B + R sec C = 0, if the fluid of this power system passes through the center of the triangle.
Answer:
(i) In △ABD and △ACD,
AB=AC ....(since △ABC is isosceles)
AD=AD ....(common side)
BD=DC ....(since △BDC is isosceles)
ΔABD≅ΔACD .....SSS test of congruence,
∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)
(ii) In △ABP and △ACP,
AB=AC ...(since △ABC is isosceles)
AP=AP ...(common side)
∠BAP=∠PAC ....from (i)
△ABP≅△ACP .... SAS test of congruence
∴BP=PC ...[c.s.c.t].....(ii)
∠APB=∠APC ....c.a.c.t.
(iii) Since △ABD≅△ACD
∠BAD=∠CAD ....from (i)
So, AD bisects ∠A
i.e. AP bisects∠A.....(iii)
In △BDP and △CDP,
DP=DP ...common side
BP=PC ...from (ii)
BD=CD ...(since △BDC is isosceles)
△BDP≅△CDP ....SSS test of congruence
∴∠BDP=∠CDP ....c.a.c.t.
∴ DP bisects∠D
So, AP bisects ∠D ....(iv)
From (iii) and (iv),
AP bisects ∠A as well as ∠D.
(iv) We know that
∠APB+∠APC=180
∘
....(angles in linear pair)
Also, ∠APB=∠APC ...from (ii)
∴∠APB=∠APC=
2
180
∘
=90
∘
BP=PC and ∠APB=∠APC=90
∘
Hence, AP is perpendicular bisector of
Step-by-step explanation:
HOPE ITS HELP YOU
What was the percent decrease? 2% 14% 16% 7%
Answer:
Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.
Step-by-step explanation:
Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder
Answer:
3 scoops
Step-by-step explanation:
If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.
1/6 + 1/6 + 1/6
= 3/6
= 1/2
Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?
PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.
Please help! With steps included :)
Answer:
Top question: -7°
Bottom question : 18°
Step-by-step explanation:
Top question:
The base angles of am isosceles triangle are congruent:
x + 46 = 39 because the base angles of an isosceles triangle are congruent
x + 46° = 39°
x = -7°
Bottom question
The missing angle is 3x because the base angles are congruent
To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°
3x + 3x + 4x = 180°
10x = 180°
x = 18°
Sorry for the late post!
-Chetan K
The diameter of a circle is 8 mm. What is the circumference of the circle?
Answer:
C=22÷7×8
=3.14×8
=25.12
K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is
Answer:
1/4
Step-by-step explanation:
PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72
Answer:
52
Step-by-step explanation:
Answer:
I believe it's 56
Hope this helps
Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =
Answer:
10
x
2
−
x
−
16
re written: 10x2−x−16
Step-by-step explanation:
Answer:
The simplified answer is [tex]10x^2-x-16[/tex]
Step-by-step explanation:
[tex]2x+6x^2-10+4x^2-3x-6[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]
[tex]= 10x^2+-x+-16[/tex]
As a final result, the answer is [tex]10x^2+-x+-16[/tex].
Therefore, [tex]10x^2+-x+-16[/tex] is the answer.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
- ❤ 7272033Alt ❤
7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.
i will mark that answer as brainlist who's answer was correct and can send me ASAP
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers
Answer: All real numbers.
Step-by-step explanation:
4(a+3) = 12 + 4a
4a + 12 = 12 + 4a
Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.
All real numbers, although I don't know why imaginary numbers wouldn't also work.
Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.
Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis
The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
What is reflection?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.So, the △A'B'C' is:
△ABC:
A (4,1)B (−2,3)C (−1,1)Now, Translation: (x,y)→(x+2,y+1) (
(x: axis is the line of reflection)
△A'B'C'
A' (6, -2)B' (-4, -4)C' (-3, -2)Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
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what is 1,625 if you write it as a mathematical fraction?
Answer:
there are lots of ways. some of them are
1625/2, 3250/2, 4875/3........
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answer:
545256
Step-by-step explanation:
Evaluate.
−[4.1−3(2.2)](−0.2)2+2
What is the value of the expression?
Enter your answer as a decimal in the box.
64.5
Explanation:
-(4.1-3(2.2))=2.5
2.5÷(-0.2)^2=62.5
62.5+2=64.5
THEREFORE
the answer is 64.5
The solution of the mathematical expressions will be 64.5
What is Number system?
A system of writing to express the number is called number system.
Given that;
The mathematical expressions are,
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Now,
Solve the expression as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Using the BODMAS rule to solve the expressions as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
⇒ - [ 4.1 - 6.6 ] / (-0.2)² + 2
⇒ - [-2.5] / (-0.2)² + 2
⇒ 2.5 / 0.04 + 2
⇒ 62.5 + 2
⇒ 64.5
Therefore,
The solution of the mathematical expressions will be 64.5
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can y’all please help me out
Step-by-step explanation:
x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5
- x⁴ + x³ - 3x²
-------------------------
0 3x³ - 2x² + x - 3
- 3x³ + 3x² - 9x
-------------------------------
0 - 5x² + 10x - 3
- - 5x² - 5x + 15
-------------------------------------
0 15x - 18
the result is therefore
x² + 3x - 5 + (15x - 18)/(x² + x - 3)
my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.
my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is
Answer:
x² * -1/2,
x² + 3
Step-by-step explanation:
The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.
Two expressions that will never return the same output are 2x - 1 and 2x - 3
How to determine the expressions?Assume the expressions are linear functions
A linear function is represented as:
y = mx + c
For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts
Take for instance 2x - 1 and 2x - 3
Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3
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what kind of wave is shown
Answer:
longitudinal
Step-by-step explanation:
solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
Please Help Me please
Answer:
the 3 one
Step-by-step explanation:
Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Step-by-step explanation:
Given,
3 coffee + 2 muffins = $7
and
2 coffees + 4 muffins = $8
let the coffee be x and muffins be y.
so now, we got
3x + 2y = $7 -----------(eqⁿ 1)
2x + 4y = $8 -------------(eqⁿ 2)
multiply (eqⁿ 1) by 2
we got,
2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)
now, subtract (eqⁿ 2) from (eqⁿ 3)
we got,
(6x - 4y = $14) - (2x + 4y = $8)
we got,
4x = $6
x = 6/4 = $1.5
to get value of y put the value of x in eqⁿ2
we got,
→ 2(1.5) + 4y = $8
→ 3 + 4y = 8
→ 4y = 8 - 3 = 5
→ y = 5/4 = $1.25
hence,
value of one coffee = $1.5
value of one muffin = $1.25
Hope this answer helps you dear! take care!.
The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)
Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.
Answer:
Explanation
Step-by-step explanation:
If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.