Answer:
x-intercept: (38/7,0) y-intercept: (0,-38)
Step-by-step explanation:
I think
Samuel is going to invest $4,900 and leave it in an account for 14 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Samuel to end up with $10,300?
-
Answer:
Submit Answer
Answer:
0.053
Step-by-step explanation:
Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/12)^12(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/12)^168. Then we take the 168 square root from both sides. 1.00443… = 1 + r/12. Subtract 1 from both sides. 0.00443… = r/12. Then multiply both sides by twelve . r= 0.053
The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.
Answer:
152600
Step-by-step explanation:
this is because 9% of 140000 is 1523
4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)
Charlotte and Edgar's ages add up to 22. Charlotte is one year
older than twice Edgar's age.
How old are Charlotte and Edgar? Show all of your work and/or
reasoning.
Answer: Charlotte's 15 and Edgar's 7
Step-by-step explanation:
7*2=14
14+1 = 15
15 + 7 = 22
HELPP PLEASE NOW!!!!!!!!
Ten players on Michelle's soccer team were asked if they will attend a soccer camp this summer and 7 said yes. There are 20 players on the team in all.
Write a pair of equivalent fractions that could be used to determine the number of players that will attend camp this summer.
How many players on Michelle's soccer team will attend a soccer camp this summer?
2) Solve for y when x=6:
2x + y = 6
Help please
Answer:
y=-6
Step-by-step explanation:
2(6)+y=6
12+y=6
-12 -12
y=-6
Pls help will give branliest
Answer:
7x² - 26x + 9
Step-by-step explanation:
(g(x)²) = (3x - 2) (3x - 2)
(g(x)²) = 9x² - 6x - 6x + 4
(g(x)²) = 9x² - 12x + 4
(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9
Kay is going to do some work in her garden. Her garden is in the shape of a rectangle. Kay thinks she can buy enough paint to cover the decking for less than £65 Is Kay correct?
Answer:
Still not sep-by-step explanation:
Please help will mark brainliest
Answer:
26
Step-by-step explanation:
The "h" in the lateral area formula, L = Ph, stands for
solve question >> ( - 3x)^2
Answer:
(-3x)^2 = (-3)^2(x^2)
=9x^2
Let me know if this helps!
A jacket with an original price of $40.50 discounted by 10%. What is the sale price?
Answer:
36.45
Step-by-step explanation:
40.50* 0.10 =4.05
40.5-4.05=36.45
Factor: m*(m+n)-3m*(m+n)^2
Answer:
−m(m+n)(3m+3n−1)
Step-by-step explanation:
[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4
Answer:
the value of the equation is -1
What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?
Answer:
8,107,424
Step-by-step explanation:
We have an expanded form of a number and are asked to convert it into standard form.
We always have to look at the place value when it comes to expanded form.
So follow the place values :
Million , Hundred Thousand, Ten Thousand, Thousand, Hundred, Tens, Ones.
1,000,000, 100,000, 10,000, 1,000, 100, 10, 1
Look at the values given and replace it
8,000,000, 100,000, 0, 7,000, 400, 20, 4
Now add them all :
8,107,424
Choose the correct inequality statement to compare the following two integers.
9 and 2
options:
9 < 2
2 > 9
9 > 2
2 = 9
Answer:
3. trust me because 9 is leads than 2
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each. Linear Function A Points: (–5, –2), (–5, 7) Linear Function B Points: (7, –5), (–2, –5) Function A has a slope of -7a slope of 0a slope of 9no slope. The equation of line A is x = -5y = -5x = -2y = 7. Function B has a slope of -7a slope of 0a slope of 9no slope. The equation of line B is x = -5y = -5x = -2y = 7.
Answer:
5
Step-by-step explanation:
I will mark you as the brainiest if you get this correct Thx so much xxx
Answer:
22.7
Step-by-step explanation:
9³-8*6 = 729-48= 681
(8²-4) / 2 = 30
681/30 = 22.7
Answer:
[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]let's solve:[tex]step - 1 : define[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]triangle has vertices A( 0,0 ), B(2, 0) and C(0, 4). Angle ABC is transformed to angle A"B"C" by a rotation of 180 degrees clockwise about the origin, followed by a dilation with the origin as the center of dilation and scale factor of 3. find the coordinates of the vertices of angle A"B"C" and state whether the two triangles are similar or congruent.
Step-by-step explanation:
The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:
A( 0,0 ), → (0,0)
B(2, 0) → (-2,0)
and C(0, 4). → (0,-4)
Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)
Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:
(0,0) → (0,0)
(-2,0)→( -6,0)
(0,-4) → (0,-12)
The answer is
A' (0,0) B' (-6,0) C' (0,-12)
The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.
The formula for the area of a trapezoid is A = 12(a + b)h. Rearrange the formula to solve for b.
Question 4 options:
b=2Aha
b=A−12h + a
b=2Ah− a
b=12Ah − a
Answer:
b = 2A/h - aStep-by-step explanation:
Formula for the area of a trapezoid:
A = 1/2(a + b)hSolving for b:
A = 1/2(a + b)h2A = (a + b)h2A/h = a + b b = 2A/h - aHelp with hw please I’ll give brainliest
Which of the following word problems can be solved using the equation 10 x - 15=60
Answer:
Kit buys
Step-by-step explanation:
im right
1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. However, the frogs will only be weighed two at a time! Dorris and Borris weigh 12lbs altogether. Borris and Morris weigh 16lbs altogether. Dorris and Morris weigh 14lbs altogether. How much does each frog weigh?
Answer:
Their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
Step-by-step explanation:
Let the weights of the frogs be:
Dorris = d
Borris = b
Morris = m
given:
d + b = 12 - - - (1)
b + m = 16 - - - (2)
d + m = 14 - - - (3)
from (3)
d + m = 14
m = 14 - d - - - (4)
putting the value of m into equation 2:
b + m = 16
b + (14 - d) = 16
b - d + 14 = 16
b - d = 16 - 14
b - d = 2
b = 2 + d - - - - (5)
putting the value of 'b' in equation 5 into equation (1)
d + b = 12 - - - (1)
where: b = 2 + d - - - (5)
∴ d + (2 + d ) = 12
d + d + 2 = 12
2d = 12 - 2
2d = 10
∴ d = 10 ÷ 2 = 5
d = 5
putting the value of 'd' into eqn (5)
b = 2 + d - - - - (5)
where d = 5
b = 2 + 5 = 7
b = 7 lbs
to find 'm', let us use eqn (3)
d + m = 14 - - - (3)
where d = 5
∴ 5 + m = 14
m = 14 - 5 = 9
m = 9 lbs
Therefore their weights are:
Dorris = 5 lbs
Borris = 7 lbs
Morris = 9 lbs
Pls help me with the questions.
Answer:
E, 21.
Step-by-step explanation:
7 multiplied by 3 is 21.
Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.
Find the height of a cone with a diameter of 12 m and whose volume is 133 m.
A. 2 m
B. 9 m
C. 3 m
D. 1 m
Answer:
D
Step-by-step explanation:
Here, we want to get the height of the cone
radius = diameter/2
r = 12/2 = 6 m
To get this, we use the formula for the volume
V = 1/3 * pi * r^2 * h
133 = 1/3 * 3.142 * 22/7 *6^2 * h
h = 1.12 m
Compare using <, >, or =. 3/6___3/7
3/6<3/7
Step-by-step explanation:
3/7 is more than 3/6 because the bigger mouth of a crocodile goes to the bigger piece of the food basically saying that 3/7 is bigger.
Answer:
3/6<3/7
Step-by-step explanation:
Please help me with this question
Answer:
The answer is X=6 ABC=30 CBD=30
Answer:
x = 21
ABC = 105
CBD = 75
Step-by-step explanation:
3x + 12 + 5x = 180
8x + 12 = 180
8x = 168
x = 21
3(21) + 12 = 75
5(21) = 105
One box of nails weighs 3.4 pounds and another box weighs 5.2 pounds. How much more does the heavier box weigh?
Answer:
1.8 pounds
Step-by-step explanation:
A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.
How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot.
ft
Answer:
57.7 ft
Step-by-step explanation:
54 squared + b squared = 79 squared
2916 + b squared = 6241
-2916 -2916
b squared = 3325
b = 57.7
Insta - Oreo.is.free
The distance that the base of the telephone pole to point B where the guy wire is secured to the ground is 57.7 feet
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that triangle ABC is a right triangle.
Point A is the top of the telephone pole.
Point B is the point on the ground.
Point C is the base of the telephone pole.
Given,
AB = 79 feet
AC is the height of the telephone pole = 54 feet
Angle C is a right angle.
Using Pythagoras theorem,
(AB)² = (AC)² + (BC)²
79² = 54² + (BC)²
(BC)² = 79² - 54²
(BC)² = 3325
BC = √3325 = 57.66 ≈ 57.7 feet
Hence the length of the base of the pole form the ground where the wire is secured is approximately 57.7 feet.
Learn more about Pythagoras Theorem here :
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