Answer:
$32600
Step-by-step explanation:
Given data
Principal= $10000
Rate= 3%
Time= 58-18= 40 years
The compound interest expression is
A=P(1+r)^t
Substitute
A=10000(1+0.03)^40
A=10000(1.03)^40
A=10000*3.26
A=$32600
Hence the amount at the 58th birthda is $32600
A circle has a circumference of 12. What is the area of the circle and how do you find it?
Answer:36cm
Step-by-step explanation:The area of a circle is pi times the radius squared (A = π r²
a) Diameter is 12cm
; (b) radius is 6cm
; and (c) area is 36πcm2.
Explanation:If r is the radius of a circle, then its circumference is 2πr
and area is πr2.
As circumference is given to be 12π, we have 2πr=12π
or r=12π2π=6cm.
As such radius is 6cm
and diameter being double of radius, diameter is 2×6=12cm.
and area is π×62=36 cm2
.
Help asap plz!!! 30 points
A human's eyeball is shaped like a sphere with a diameter of 2.5 cm. A
dog's eyeball is shaped like a sphere with a diameter of 1.75 cm. About
how many times greater is the volume of a human's eyeball than the
volume of a dog's eyeball?
Answer:
I think it is 1.5
Step-by-step explanation:
I'm not that sure sorry :(
Volume of human eyeball is 3 times more than volume of dog's eye .
Given,
Human eyeball diameter = 2.5 cm
Dog eyeball diameter = 1.75 cm
Now,
Firstly calculate the volume of humans eye,
Volume of sphere = 4/3 πr³
r = radius of eyeball
r = d/2
r = 2.5/2
r = 1.25 cm
Volume = 2.60π cm³
Now calculate the volume of dogs eye,
V = 4/3 πr³
r = d/2
r = 1.75/2
r = 0.875 cm
V = 0.893π
Thus from the calculation volume of human eye is more by approximately 3 times .
Know more about volume of sphere,
https://brainly.com/question/21623450
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The graph of the function B is shown below. find B(1).
Answer:
B(1) = 2
Step-by-step explanation:
Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.
What is the perimeter of the triangle?
A. 13 centimeters
B. 30 centimeters
C. 52 centimeters
D. 169 centimeters
Answer:
B
Step-by-step explanation:
Answer:
30 is the correct answer
PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12
Answer:
1. x is inversely proportional to y
x=k/y
k is the constant of proportionality
x =60/y
2. x=60/y
x=60/12
x=5
Find the midpoint of the segment with the following endpoints.
(10,1) and (3,-6)
Answer:
(13/2,-5/2)
Step-by-step explanation:
I hope this helps
translations on a coordinate plane
Answer:
check in my page someone will answer it for me
Step-by-step explanation:
then you get your answer
If correct I’ll give brainlist
Answer:
should look like this a bit
Step-by-step explanation:
heres another pov
What are equivalent equations? How do you find them? Write a few sentences describing them
Answer: Equivalent equations are equations with identical solutions. You can find them by simply simplifying an equation.
EXAMPLE:
1 + 2 + 3 = 5x
An equivalent equation would be 3 + 3 = 5x
20 points for correct answer and a brainliest for first correct answer!
Answer:
D
Step-by-step explanation:
Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55
Answer:
16
Step-by-step explanation:
because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16
71-(27+28)
Answer:
Grace sold 16 tickets.
Step-by-step explanation:
We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =
Answer:
The system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
Step-by-step explanation:
Let
x represent the number of polyester-fill bags sold
y represent the number of down-fill bags sold.
In one week the store sold 17 sleeping bags
x + y = 17 ...... Equation 1
x = 17 - y
At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.
Hence:
$76 × x + $141 × y = $1460
76x + 141y = 1460....... Equation 2
Therefore, the system of equations that can be used to find the number of each type sold is given as:
x + y = 17 ...... Equation 1
76x + 141y = 1460....... Equation 2
A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.
Answer:
60.1°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin x = Opposite/Hypotenuse
x = Angle of Depression
Opposite = 15ft
Hypotenuse = 17.3ft
sin x = 15ft/17.3ft
x = arc sin (15ft/17.3ft)
x = arcsin(0.8670520231213873)
60.117851927°
Approximately Angle of depression = 60.1°
How to find the area of each trapezoid step by estep
PLEASE HELP I WILL MARK BRAINLIEST
Please help me I’ll mark brainliest:)
Please Help! Trigonometry Problem:
find the solution in 0< x < 2π
cos 2x = 2sinx
Answer:
[tex]\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}[/tex]
Or their approximations:
[tex]x\approx \left\{0.375, 2.767\right\}[/tex]
Step-by-step explanation:
We are given:
[tex]\cos(2x)=2\sin(x)[/tex]
And we want to find the solution in [0, 2π).
Recall the double-angle identities for cosine:
[tex]\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
We will use the third version. Hence:
[tex]1-2\sin^2(x)=2\sin(x)[/tex]
Move all terms to one side:
[tex]-2\sin^2(x)-2\sin(x)+1=0[/tex]
This is now in quadratic form. For simplicity, let u = sin(x):
[tex]-2u^2-2u+1=0[/tex]
Solve for u. Simplify:
[tex]2u^2+2u-1=0[/tex]
By the quadratic formula:
[tex]\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}[/tex]
Evaluate:
[tex]\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366[/tex]
Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)
Back-substitute:
[tex]\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}[/tex]
Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:
[tex]\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375[/tex]
Using reference angles, the other solution is:
[tex]\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767[/tex]
If two angles are vertical and one of the angles measures 65 degrees, what is the measurement of the other angle?
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
Classify the triangle based on its angles
Answer:
The triangle is scalene triangle because its all sides are different
So, you can go with it and
Request :- if you are helped with my answer pls tag me brianliest I really want it.......
THANK YOU.. Plzz see to my request
PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by the information in the table?
A)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is more than $300.
B)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is less than $300.
C)The fee at Starlight Bank will always be more than fee at Lakeshore Bank.
D)The fee at Starlight Bank will always be less than the fee at Lakeshore Bank. Bank Monthly fee Starlight
Starlight: 1% of checking account balance
Lakeshore: $3
a is the answer i took the test
Find the total surface area of a Cylinder that has a radius of 6 cm and a
height of 4 cm.
Answer:
376.99cm
Step-by-step explanation:
Find the value of x
If 2x = 100
Answer:
x=50
Step-by-step explanation:
If 2*x=100
Then x is :
x=100:2
x=50
Step-by-step explanation:
2x=100
x=100/2
x=50.
keep learning sis !
I need help with this
Answer:
y=3/4x +7
Step-by-step explanation:
The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.
To find b, we can plug in the x,y, and given slope.
[tex]4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7[/tex]
so now we can write b and m in the original equation.
which gives us, y =3/4x +7
Baxter’s dad fills his sandbox to half its capacity. Which equation can be used to find the volume of the sand in Baxter’s sandbox?
Step-by-step explanation:
You could do Length x Width x Height (of the sandbox) to find the volume of the whole sandbox, and then divide it by 2. That would equal the amount of sand.
Find the value of x that will make A||B
Answer:
15?
Step-by-step explanation:
Answer:
30Step-by-step explanation:
Please help me with my math!
Answer:
I believe it's A. but that's just what I think sorry I can't really back it up much
The answer is the third option, because the range is -6 and the third option says its greater than or equal to -2.
A toy store was selling stuffed animals for $7.00 each. The stuffed animals go on sale and are now sold for $2.50 each. What is the markdown?
Solve for x and show work.
Answer:
x = 2
Step-by-step explanation:
The four sides of a rhombus are equal. Thus, 10x + 6 = 4x + 18.
Solve this equation for x:
6x = 12
So, finally, x = 2
17 gallons = ? liters
Answer:
64.345
Step-by-step explanation:
1 gal=3.785
multiply 3.785 x 17
it's all on the picture
Answer:
i believe its 24+12
Step-by-step explanation: