Avery deposited 1250 in a new savings account. Which amount is closest to the balance of the account at the end of three years
Answer: $1,467.80
Step-by-step explanation:
The formula for the future value given annual compounding is:
= Amount * ( 1 + rate) ^ number of years
The amount after 3 years at 5.5% is therefore:
= 1,250 * ( 1 + 5.5%)³
= 1,250 * 1.174241375
= $1,467.80
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
Explain why dividing each side of \small 3x^2=6x by \small 3x is not a reliable way to solve the equation.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]3x^2 = 6x[/tex]
Required
Why dividing by [tex]3x[/tex] is not reliable
The reason is that, the given expression is a quadratic equation and as such, it will most likely have two solutions.
So, when the expression is divided by [tex]3x[/tex], the solution will be [tex]x = 2[/tex], leaving out the other possible solution.
The right way is:
[tex]3x^2 = 6x[/tex]
Subtract 6x from both sides
[tex]3x^2 - 6x = 6x - 6x[/tex]
[tex]3x^2 - 6x = 0[/tex]
Factorize
[tex]3x(x - 2) = 0[/tex]
Split
[tex]3x = 0\ or\ x - 2 = 0[/tex]
Solve for x in both cases:
[tex]x = 0\ or\ x = 2[/tex]
2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
9. Sam built a storage cube out of plywood. How many square meters of
plywood did Sam use for the cube?
Answer:
3
Step-by-step explanation:
a cube has 6 sides, and each side is 0.5, if you add 0.5 6 times you will get 3
Help please!! Will mark brainstest!!
Scatter Plot is in the picture.
It says write an equation for the trend line.
A) y=-12.5x+250
B) y=12.5x+250
C) y=6.25x+225
D) y=-6.25+225
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
8) 22
9) cos 33°
10) 55
Step-by-step explanation:
[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]
I hope that is useful for you :)
Solve for x. Write both solutions, separated by a
comma.
9x^2+ 3x – 2 = 0
Answer:
x=1/3, x=-2/3
Step-by-step explanation:
9x^2 +6x -3x -2=0
6x and -3x add up to 3x. You need four terms to factor.
Then you factor=
3x(3x+2)-1(3x+2)=0
(3x-1)(3x+2)=0
Then you can make two equations
3x-1=0 and 3x+2=0 because to multiply to get 0, at least one will be 0.
3x-1=0
3x=1
x=1/3
3x+2=0
3x=-2
x=-2/3
So your answers are x=1/3, x=-2/3
hope this helps!
PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!
Hello again, hehelol12.
PQ is equal to CB. So the length of PQ must be 9.
Angle PQR is equal to CBA. Therefore the measure of angle PQR is 46.
I hope this helps!
Step-by-step explanation:
since they are congruent triangles, all your have to done is the compare the longest side of the first triangle is equal to that of the other; the smallest side of the first triangle is equal to that of the second, and so for the corresponding angles
using the above method,
Answer:
a) from mere observation line PQ is the longest therefore it is equal to the length of the longest side of the other triangle. so line PQ = 9
b) again, ang PQ is the smallest, using the method, ang PQ = 46 degrees
but mind you, you could use a ruler to measure the length to find the longest more accurately.
What is the constant of proportionality for this problem?
Answer:
$ 825
Step-by-step explanation:
10 yard = $150
55yard = ?
55yard* $150 /10yard
55*15 =825 then the correct answer of
$55 yard is 825
Find the height of the pyramid.
Volume
Answer:
5
Step-by-step explanation:
like my answer please...
HELP ILL GIVE BRAINLIEST
Select all equivalent
equations for the translation of "four times the sum of
a variable and nine equals eighteen".
4+ (x + 9) = 18
4(x)(9) = 18
4(x + 9) = 18
4x + 4(9) = 18
4x + 9 = 18
Answer:
No - 4+ (x + 9) = 18
No - 4(x)(9) = 18
Yes - 4(x + 9) = 18
Yes - 4x + 4(9) = 18
No - 4x + 9 = 18
the names of 11 boys and 6 girls from your class are put into a hat. what is the probability that the first two names chosen will be a boy followed by a girl( dependent probability
Answer:
25%
is that what you were looking for?
Which formula should be used to calculate the amount of paper needed?
Answer:
Step-by-step explanation:
I=PRT where I =interest P=principal, R=rate, and T =time is
(y+7) what does that equal
Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)
Answer:
Step-by-step explanation:
GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!!!!!!!!!PLS HELPP :(
In which step does a mistake first occur? (24+3+10)-14+2
Step1: (8+10)-14+2
Step 2: 18-14+2
Step3: 4+2
Step 4: 2
Answer:
step 4
Step-by-step explanation:
4+2=6
a model ship is 0.38 M long how long is the ship in centimeters
Answer:
Actual length of ship is 150 meters.
Step-by-step explanation:
As model ship is built to a scale of
1 centimeter : 5 meters and
length of model ship is 30 centimeters
Actual length of ship is 30 × 5 = 150 meters.
can you help me i will mark if i can
Answer:
i think it is d
Step-by-step explanation:
PLEASE HELP!!!!!
What is the value of x? *
31°
53°
Answer:
X = 96
Step-by-step explanation:
This one is pretty simple
So we're dealing with angles here.
So what we want to do is add the two angles and it =180
Here's the equation so it makes more sense:
[tex]A+B=180[/tex]
so we'd place in those numbers
[tex]53+31=180[/tex]
add the two angles together
[tex]53+31=84[/tex]
than we'd subtract from 180 getting the value of X
[tex]180-84=96[/tex]
[tex]x=96[/tex]
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer
YES
Step by step Explanation
Answer:
There is not information given to assume the triangles are congruent.
Step-by-step explanation:
You can tell if two triangles are congruent by any of the following rules:
Three sides are congruent (SSS),
Two angles and a side in between are congruent (ASA)
Two sides and an angle in between are congruent (SAS)
Two angles and a side connected to one of those angles are congruent (AAS)
Note: SSA (Two Sides & One Angle) does not work. I good way to remember is that it spells a bad word backwards :)
In this case, there are only two sides given, but there aren't any angles, so there is not enough information to conclude if they are congruent or not.
Solve this system of linear equations. Separate
the x- and y-values with a comma.
10x + 17y = -89
5x + 7y = -34
Answer:
(3,-7)
Step-by-step explanation:
10x +17y = -89
-(10x + 14y = - 68)
3y = -21
y = -7
5x + 7(-7) = -34
5x -49 = -34
5x = 15
x = 3
giving 5 stars to right person
Answer:
12/40
Step-by-step explanation:
12/40=3/10
-100 ______ -101
A.>
B.<
C.=
Answer:
-100 > -101
Step-by-step explanation:
-100 > -101
Reason:
The negative number which is more closer to Zero it is always bigger than other.
-TheUnknownScientist
Which equation represents a linear function?
Equation 1: y = 2x2 + 1
Equation 2: y2 = 3x + 1
Equation 3: y = 5x − 1
Equation 4: y = 4x4 − 1
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
The answer is Equation 3
Step-by-step explanation:
The answer is Equation 3. I got it
right on the FLVS test
Hope this helps!
:)
Work out the area of this circle.
Give your answer in terms of it and state its units.
14 cm
Answer:
area = 153.94
Step-by-step explanation:
Diameter = 14. Half of 14 is 7, so radius = 7.
Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804
A carpenter lays 18 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
Answer:
x=24
Step-by-step explanation:
there are different ways to solve the problem
set up a proportion:
16/(2/3)=x/1
cross multiply
(2/3)x=16
(3/2)(2/3)x=(3/2)(16)
x=24 square feet per hour
a carpenter lays 16 square feet in 40 minutes (2/3 of an hour)
this means he lays 4 square feet every 10 minutes
8 square feet in 20 minutes
12 square feet in 30 minutes
24 square feet in 60 minutes
solving by elimination
7x-y=19
2x-3y=19
Answer:
2x + y = -2, x + 2y = 2
4x + y - 2z = 0, 2x+ 3z = 9 , -6x - 2y + z = 0
x + y = 4 , x - y = 2
Step-by-step explanation:
Answer:
x=2 and y=−5
Step-by-step explanation:
Let's solve your system by elimination.
7x−y=19;2x−3y=19
Multiply the first equation by -3,and multiply the second equation by 1.
−3(7x−y=19)
1(2x−3y=19)
Becomes:
−21x+3y=−57
2x−3y=19
Add these equations to eliminate y:
−19x=−38
Then solve−19x=−38for x:
−19x=−38
(Divide both sides by -19)
x=2
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
7x−y=19
Substitute2forxin7x−y=19:
(7)(2)−y=19
−y+14=19(Simplify both sides of the equation)
−y+14+−14=19+−14(Add -14 to both sides)
−y=5
y=-5
How does the graph of f(x)=|x| compare with the graph of g(x) = 1/2|x| select all that apply
Answer:
I don't see the choices but both graphs are absolute value graphs. I think g(x) = 1/2|x| is the shrink of f(x)=|x|
Joan wants to reduce the area of her posters to be 2/3 of the original size. Match the original dimensions in the left column with the correct new area in the right column.
Answer:
Actual 2/3
30 inch. by 12 inch 240 inch²
30 inch. by 18 inch 360 inch²
12 inch. by 15 inch 120inch²
18 inch. by 15 inch 180inch²
Step-by-step explanation:
The answers are given in the same line .
Actual 1/3 2/3
30 inch. by 12 inch 120 inch² 240 inch²
30 inch. by 18 inch 180 inch² 360 inch²
12 inch. by 15 inch 60 inch² 120inch²
18 inch. by 15 inch 90 inch² 180inch²
We find the areas and multiply by 2/3 to get the answers
30 * 12= 360 inch²
2/3 * 360 = 240 inch²
30 * 18= 540 inch²
2/3 * 540 = 360inch²
12 * 15= 180 inch²
2/3 * 180 = 120 inch²
18 * 15= 270 inch²
2/3 * 270 = 180inch²