[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years \end{cases}[/tex]
[tex]3000=2000\left(1+\frac{0.095}{2}\right)^{2\cdot t} \implies \cfrac{3000}{2000}=1.0475^{2t}\implies \cfrac{3}{2}=1.0475^{2t} \\\\\\ \log\left( \cfrac{3}{2} \right)=\log(1.0475^{2t})\implies \log\left( \cfrac{3}{2} \right)=t\log(1.0475^{2}) \\\\\\ \cfrac{\log\left( \frac{3}{2} \right)}{\log(1.0475^{2})}=t\implies 4.37\approx t\qquad \textit{about 4 years and 4 months and a half}[/tex]
What’s 9+10 equal to???
Answer:
19
Step-by-step explanation:
9+10=19
11+8=19
Hope it Helps
Kevin is an auto mechanic. He spends 3 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 36 hours a week. He routinely completes at least 2 shocks replacements and 3 brake replacements a week. If he charges $400 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income?
Answer:
See below ....question is a bit unclear
Step-by-step explanation:
He makes 133.33 per hour with shocks and only 100 per hour with brakes.
he should only do 36/3 = 12 shock jobs per week and no brakes.
if he HAS to do at LEAST 3 brake jobs
then he should do 3 brakes and 10 shocks
The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .
Answer:
The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2
Two vertices of a rectangle are located at (6, 1) and (8, 1). The rectangle has an area of 18 units2 and is entirely in the first quadrant. What are the other two vertices?
The two other two vertices will be (6, 10) and (8, 10)
How to calculate the area of a rectangle?A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:
Area = length * width
Given;
Area = 18 square units
Length = x2 -x1 = 8 -6
length = 2 units
Determine the width
Width = A/l
Width = 18/2
Width = 9 units
Hence the two other two vertices will be (6, 10) and (8, 10)
Learn more on area of rectangle here: https://brainly.com/question/2607596
Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?
Answer:
144040.3333
Step-by-step explanation:
275*523 = 143825
19x34/3 = 215.3333333
so add them up to get 144040.3333
Answer:
144040.333333
Step-by-step explanation:
start with parenthesis (275x523)
This would get you, 143825.
Next, you would do, (19x34/3)
That would get you, 215.333333333.
Finally, you would add the two numbers together and get a product of 144040.333333.
A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.
Answer:
See below
Step-by-step explanation:
Remember S-O-H-C-A-H-T-O-A
Sin = Opp / Hyp
Cos = Adjacent / Hyp
Tan =Opp / Adj
You didn't say WHICH angle is X , so you will have to finish this !
what is the answer to this?
Answer:
the answer is c
Step-by-step explanation:
its c i dont know what the words say tho i need to read what it say first.
a circular wall clock with a circumference of 94.2 cm is mounted on a wall. How much area of the wall did it occupy
URGENT HELP 20 POINTS
Answer:
[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]
[tex] {a}^{ 3} b + a {b}^{3} [/tex]
Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
52 cm
Step-by-step explanation:
The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.
A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0
A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19seconds
Functions and valuesGiven the roller coaster's height expressed by the function below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize
On factorizing, the positive value of "t" is 111.19 seconds
Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds
Learn more on functions here: https://brainly.com/question/25638609
Answer:
D) 111.19
Step-by-step explanation:
Step 1:
set h = 0
0 = -0.067t^2 + 7t + 50
Step 2:
multiply by -1
0 = 0.067t^2 - 7t - 50
Step 3:
My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.
A choice
0 = 0.067(13.40)^2 - 7(13.40) - 50
0 = 12.03 - 94.5 -50
0 = - 132.47
It doesn't equal to 0 meaning this choice is wrong answer
B choice
0 = 0.067(50.07)^2 - 7(50.07) - 50
0 = 167.96 - 350.49 - 50
0 = - 232.53
It doesn't equal to 0 meaning this choice is wrong answer
C choice
0 = 0.067(52.24)^2 - 7(52.24) - 50
0 = 182.84 - 365.68 - 50
0 = - 232.84
It doesn't equal to 0 meaning this choice is wrong answer
D choice
0 = 0.067(111.19)^2 - 7(111.19) - 50
0 = 828.33 - 778.33 - 50
0 = 0
It does equal to 0 meaning this choice is right answer
The answer is D) 111.19
Pls give me brainiest (I worked hard for this)
If you travel 60 feet in 4 seconds, how fast are you going in yards per minute?
Answer:
approximately 300 yards per minute
Step-by-step explanation:
The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.
Answer:
540 Mies per hour
Step-by-step explanation:
add 600 and 480 then divide by 2
Alyssa's average speed on the round trip is 540 Mies per hour.
We have given,
The speed of the jet Alyssa flew on from Boston to London was 480
mph.
On her return flight, the speed of the jet was 600 mph with a tail
wind.
What is the average speed?[tex]average speed=\frac{a+b}{2}[/tex]
a=inital speed
b=final speed
add 600 and 480 then divide by 2
That can be given by
[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]
Alyssa's average speed on the round trip is 540mph.
To learn more about the average speed visit:
https://brainly.com/question/4931057
The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?
Answer:
2 yearsStep-by-step explanation:
The interest amount per year is
3% of $2500 = 3*2500/100 = 75Number of years is
150/75 = 2Answer:
2 years
Step-by-step explanation:
Simple Interest Formula
I = Prt
where:
I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $2500r = 3% = 0.03I = $150Substitute the given values into the formula and solve for t:
⇒ 150 = 2500(0.03)t
⇒ 150 = 75t
⇒ t = 150 ÷ 75
⇒ t = 2
Therefore, it will take 2 years to collect $150 in interest.
Identify the elements for each problem
find circumference of the circle whose parameter is 14 cm
Find the circumference of a circle with diameter 14 cm
ANSWERS FOR THESE!!!
Answer:
Question 23) 12 x 6√3 = 72√3
Question 24) 672 cm³
Find the area of the figure.
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width to the big square is 60cm. The length to the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed is the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.
The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Since the base of a cylinder is circular in shape, the circumference is expressed as;
C = 2πr
Given that the circumference of the base is 84 in, we can now calculate the radius r.
C = 2πr
84in = 2 × 3.14 × r
84in = 6.28 × r
r = 84in / 6.28
r = 13.4in
Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.
V = π × r² × h
20214in³ = 3.14 × ( 13.4in)² × h
20214in³ = 3.14 × 179.56in² × h
20214in³ = 563.8in² × h
h = 20214in³ / 563.8in²
h = 35.9in
Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.
Learn more about volume of cylinder here: brainly.com/question/16788902
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Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I
Answer:
[tex]\displaystyle -7[/tex]
Explanation:
[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\boxed{\sf{x=-7}}[/tex]Step-by-step explanation:
To solve this problem, you have to find the value of x to isolate it on one side of the equation.
-2x=14First, you divide by -2 from both sides.
-2x/-2=14/-2
Solve.
Divide these numbers from left to right.
14/-2=-7
x=-7
Therefore, the final answer is x=-7.please help me with this one
Answer:
36 km^2
Step-by-step explanation:
We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36
In each circle, find the value of x. Please help
In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.
Using this equation, we can create the following equation:
[tex]4x=3x+10[/tex]
For which we can solve to get:
[tex]x=10[/tex]
Hope this helps!
Mr. Chau is planting a circular flower garden in his backyard. If the diameter of his garden is 12 feet, what is the area of the garden?
Answer:
A = 113.04 ft² or 36π ft²
Step-by-step explanation:
Area of a circle: πr²
radius: d/2 (12/2 = 6 ft)
π (pi) = 3.14
Solve:
A = πr²
A = 3.14(6)²
A = 3.14(36)
A = 113.04 ft² or 36π ft²
Hope this helps!
Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .
Answer:
I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help
Find the slope of the line shown in the graph below.
Answer: The slope is 1
Step-by-step explanation:
We can see that between the two points it goes up 2 units (rise) and right 2 units (run).
Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer
[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
∘
and m\angle B=(3x+28)^{\circ}∠B=(3x+28)
∘
, then find the measure of \angle B∠B.
Answer:
67
Step-by-step explanation:
Complementary angles add to 90 degrees
<A + <B = 90
x+10 + 3x+28 = 90
Combine like terms
4x+38 =90
Subtract 38 from each side
4x+38-38 = 90-38
4x = 52
Divide by 4
4x/4 = 52/4
x = 13
We want to find <B
<B = 3x+28
= 3(13) +28
= 39+28
=67
Help help help math math math
Answer:
Equation of straight line is y=Mx+X
or, y-7=-1/5x(x-(-1)
Hence y-7=-1/5x(x-(-1) is the required equation.
Answer:
ok i heres the answer
Step-by-step explanation:
there you go have a nice day
Find the volume of the triangular prism to the right.
5 ft
10 ft
The volume of the prism is ? ft^3
Answer:
rectangular is 114ft and triangular is 112ft
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
can someone help me out with khan?
Image is attached. Will give brainliest.
Answer:
outside the circle
sorry if I'm wrong