[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78[/tex]
PLEASE HELP AND EXPLAIN (WILL MARK BRAINLYIST)
Figure JKLMN is a scaled version of PQRST. The two figures are shown below.
The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 27 cm and MN = 45 cm, what is the length of side ST?
A.
30 cm
B.
40.5 cm
C.
67.5 cm
D.
18 cm
Answer: the answer is 40.5 cm
Step-by-step explanation:
first your gonna want to look at the numbers given and then solve.
Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
OA
I = 3
OB.
= = 3y
Зу
Ос.
1 = Y
=
OD
r = -3y
Answer:
0D r equals -3y
hope ts helpful
Help help her help help
Answer:
x = 12
Step-by-step explanation:
1. Subtract 9 from both sides:
x/6 = 2
2. Multiply both sides by 6:
x = 12
Answer:
9 + x/6 = 11
Always get rid of the constants first,
-9 -9(we subtract 9 from both sides because the inverse operation of addition is subtraction)
x/6 = 2
Isolate x by multiplying by 6 on both sides (because the inverse operation of division is multiplication)
*6 *6
x = 12
BCD and EFG are shown below. Which of the following statements is true? Look at picture.
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
__
Other choices:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.
__
CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.
Answer:
I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.
Solve the following quadratic equations by any method. The solutions are:
f (x) = x 2 − 12x + 32
a.
(X - 4)(X - 8) this means that X = 4 and -8
b.
(X - 4)(X - 8) this means that X = -4 and -8
c.
(X - 4)(X - 8) this means that X = +4 and +8
d.
(X - 4)(X - 8) this means that X = -4 and +8
Answer:
Option C .
Step-by-step explanation:
We would like to solve the below quadratic equation ,
[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]
Step 1 : Equate f(x) with 0 :-
[tex]\longrightarrow f(x) = 0\\[/tex]
[tex]\longrightarrow x^2-12x + 32=0[/tex]
Step 2 : Factorise the RHS :-
[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]
[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]
[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]
Step 3 : Equate each factor with 0 :-
[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]
[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]
Hence option C is correct .
Find, to the nearest tenth, the area of a triangle ABC if angle B = 35o, a = 12 m and c = 17m.
Answer:
Area of triangle = 1/2 of base × height
Area of triangle = 1/12 of 12×17
Area of triangle = 102m²
axis of symmetry f(x) = −4(x − 8)^ 2 + 3
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]
Select ALL the expressions that have the same value as the expression 0.5 ÷ 0.25
A. 1,200 ÷ 60
B. 1.2 ÷ 0.6
C. 0.012 ÷ 0.06
D. 2.5 ÷ 2.25
E. 0.05 ÷0.025
Answer:
B and E
Step-by-step explanation:
0.5 ÷ 0.25 = 2
A. NO because it's 20
B. Yes
C. NO because it's 0.2
D. NO because it's 1.1 repeating
E. Yes
prove that it is congruent
Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
[tex]x^{2} -36\frax+5/(x+6)[/tex]
the answer is
x^{2}-31x+5b
Find the greatest common factor (GCF) of 12x and 18x3.
Answer:
the answer to that question is 6x squared.
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
12x and 18x3
first, simplify 18x3
12x and 54x
Now, cancel the x, we'll add it on in the end
12 and 54
Factor it!
(2 * 3 * 2) and (2 * 3 * 3 * 3)
2 and 3 remain common, so multiply = 6
Add on x from before.
6x is the answer.
Help help help help math math
Answer:
8 i think im not really sure
Step-by-step explanation:
You walk along the edge of a park.
Then you take a shortcut,
represented by PQ on the graph.
What is the length of the shortcut in
meters? Round your answer to the
nearest whole meter, if necessary.
The distance between the two points is 93.9 units
How to calculate the distance between two pointsThe formula for calculating the distance between two points is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:
[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]
Hence the distance between the two points is 93.9 units
Learn more on distance between two points here: https://brainly.com/question/23848540
Answer:89.4
Step-by-step explanation:
The dimensions of triangle A are three times the dimensions of triangle B. The area of triangle B is 28 cm What is the area of triangle A?
Answer:
Below in bold.
Step-by-step explanation:
The ratio of theire areas is 1^2 : 3^2
= 1:9.
So the area of triangle A = 28 * 9
= 252 cm^2.
Answer:
[tex]252cm {}^{2} [/tex]
step by step explanation:
[tex]since \: \: dimension \: of \: traiangle \: a \: = 3 times \: dimension \: of \: triangle \: b \\ note \: that \: area \: is \: square \: of \: dimension \: \\ therefore \: area \: of \: triangle \: a \: = 3 {}^{2} \: area \: of \: triale \: \: b \\ area \: of \: trianle \: a = 9 \times 28 = 252cm {}^{2} [/tex]
Is the table a linear or exponential function?
Answer:
exponential
Step-by-step explanation:
there is a multiplier of 8 between each number
please help will mark BRAINLIEST
Answer:
d = 3h - 6
Step-by-step explanation:
Given formula:
[tex]h=\dfrac{d}{3}+2[/tex]
Subtract 2 from both sides:
[tex]\implies h-2=\dfrac{d}{3}+2-2[/tex]
[tex]\implies h-2=\dfrac{d}{3}[/tex]
Multiply both sides by 3:
[tex]\implies (h-2) \times 3=\dfrac{d}{3} \times 3[/tex]
[tex]\implies 3(h-2)=d[/tex]
Apply the distributive law [tex]a(b-c)=ab-ac[/tex]
[tex]\implies 3h-6=d[/tex]
[tex]\implies d=3h-6[/tex]
Answer:
[tex]d=3h-6[/tex]
Step-by-step explanation:
[tex]h=\frac{d}{3}+2[/tex]
[tex]h-2=\frac{d}{3}+2[/tex]
-[tex]2[/tex]
[tex]h-2=\frac{d}{3}[/tex]
[tex](h-2)*3=\frac{d}{3}*3[/tex]
[tex]3(h-2)=d[/tex]
[tex]3h-6=d[/tex]
[tex]d=3h-6[/tex]
-{ModPatrol}
Whcih choice best describes the group this shape belongs in, based on the kinds of sides and angles it has? Angela chose A as the correct answer. How did she get that answer?
The shape in the figure has 6 sides
The choice that describes the group the shape belongs to is (a) parallel sides, acute angles
How to determine the group of the shape?From the figure, we have the following highlights
The shape has 6 sidesThe direct opposite sides are equalThe direct opposite sides are parallelThe measure of angles between adjacent sides are less than 90 degrees i.e. acute anglesThe above highlight mean that:
The shape belongs to parallel sides, acute angles group of shapes
Hence, Angela's conclusion is correct
Read more about polygons at:
https://brainly.com/question/1592456
jan saw 9 full moons in 252 days write each statement as a rate
Jayla just measured her pet snake and found out that it is 3.8 inches long, which is 52% longer than the last time Jayla measured. How long was the pet snake last time?
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
54
Step-by-step explanation:
Multiply:
37x37=72
Subtract:
180-72=108
Divide:
108/2=54
Answer:
143 degrees
Step-by-step explanation:
37(2) + 2x = 360
74 + 2x = 360
2x = 286
x = 143
Hope this helps :)
Need help with this geometric question ASAP, Thank you
Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet from the
trunk of the tree. She angles the camera to the top of the tree so she can get a picture of the eagle. The height of the tree is 31 feet. The
height of the tripod is 4 feet.
The angle of elevation from the tripod to the top of the tree is about 66 degrees
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:
tanФ = (31 - 4) / 12
Ф = 66 degrees
The angle of elevation from the tripod to the top of the tree is about 66 degrees
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
insurance that pays for damages to houses or businesses is called
Answer:
Homeowners insurance
Step-by-step explanation:
Homeowners insurance is designed to protect your home from what are called "perils." A peril is your exposure to risk or something that causes loss or destruction. … Homeowners 2 (HO2): This policy protects your property against 18 perils (including 11 perils from Homeowners 1). Typical homeowners insurance policies offer coverage for damage caused by fires, lightning strikes, windstorms and hail. But, it's important to know that not all natural disasters are covered by homeowners insurance. For example, damage caused by earthquakes and floods are not typically covered by homeowners insurance.
Which number is bigger: 0.135 or 0.14?
What is the equation of a circle with center (−8, 3) and radius 8?
(x + 8)2 + (y − 3)2 = 64
(x − 8)2 + (y + 3)2 = 64
(x − 8)2 + (y + 3)2 = 8
(x + 8)2 + (y − 3)2 = 8
Answer:
(x + 8)² + (y - 3)² = 64
Step-by-step explanation:
(x - (-8))² + (y - 3)² = 8²
(x + 8)² + (y - 3)² = 64
Darren's rectangle measures 3 1/4 units by 4 1/3 units. what is its area
area = ? ?/?
Answer:
14 1/13
Step-by-step explanation:
13/4*13/3=169/12=14 1/13
The hypotenuse of a triangle is 10 inches long. One of the legs is 6.5 inches long. what is the measurement of the missing leg? round to the nearest tenth, if necessary
Answer:
7.6
Step-by-step explanation:
a^2 + b^2 = c^2
6.5^2 + x^2 = 10^2
42.25 + x^2 = 100
isolate x by subtracting 42.25 on both sides
x^2 = 57.75
square root of 57.75 or 7.6
April is 19, Bryan is 20, Carla is 20, and Dave is 21, how old is Erica is the average of their given ages is 23?
Answer: 35
Step-by-step explanation:
The average can be found by adding their ages together and dividing by the number of ages.
Given:
[tex]\frac{19+20+20+21+x}{5}[/tex] = 23
Multiply both sides of the equation by 5:
19 + 20 + 20 + 21 + x = 115
Combine like terms:
80 + x = 115
Subtract 80 from both sides of the equation:
x = 35
Erica is 35.
6 8/10 + 1 7/10 =
please help meee
Answer:
8.2
Step-by-step explanation:
Hope this helps....
Answer:
The answer is 8 1 / 2
Step-by-step explanation:
See the Image
Option 1 is easier to understand
What is 65% of (102/2)
Answer:
33.15
Step-by-step explanation:
102/2 = 51
65% of 51 = 33.15
Answer:
65% of (102/2) is 33.15
Step-by-step explanation:
I used a calculator and got this answer, it is correct. Have a nice day :)