Answer:
Step-by-step explanation:
Let amount now be x , meaning principal is x
and the amount later A is 2x
A = P(1+r/n)^nt
n = 12
2x = x (1 + 0.06/12)^12t
divide through by x
2 = (1+ 0.005)^12t
2 = (1.005)^12t
Take log of both sides
log 2 = 12t log 1.005
12t = log2/log 1.005
12t = 138.975721610697
t = 138.975721610697/12
t = 11.58
t = 12 years
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the pond. Below is a picture of the pond.
a. Create an equation that can be used to solve for the width, x, of the walkway.
b. Use any method (other than graphing) to figure out how much the width, x, of the walkway will be.
Answer:
A- 3x2= 6
6 divided by 2 is 3
B- flip it around with division first
Step-by-step explanation:
What is the volume of the sphere?
Answer:
V = 523.5987756 Cubic in.
Step-by-step explanation:
The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)
In this case: V = 4 * π * (41.6667)
V = 4 * 130.8996939
V = 523.5987756 cubic inches.
Hope this helps =)
Answer: C
Step-by-step explanation:
5 is the diameter so 2.5 has to be the radius.
The volume of sphere is v=4/3* π *r^3
v= 4/3 * 3.14 * 2.5^3
v= 65.4
Before Tonya went shopping she had $165.00 in her account. She returned a jacket that cost $46.50, brought 2 pairs of socks for $5.99 each, and went to lunch and a movie for 28.00. What is Tonya's account balance now?
A) $125.00
B) $158.00
C)$ 171.52
D)$ 177.51
PLEASE EXPLAIN YOUR ANSWER
Neha
Answer:
C) $171.52
Step-by-step explanation:
First she returned something which gave her more money than she started with. (165+46.5=211.5). Then she spent 11.98 (for socks) and 28.00 (for lunch and movie) both of which decreased her money. So (211.5 - (11.98+28)) = $171.52
What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.
Answer:
The area of triangle DEF is 588 cm²
Step-by-step explanation:
Given;
triangle DEF with base, b = 42 centimeters
triangle DEF with height, h = 28 centimeters
triangle DEF other side length, L = 35 centimeters
Area of a triangle is half of the product of the triangle base and height.
Represented in formula as;
A = ¹/₂bh
where;
b is the base of the triangle
h is the height of the triangle
A = ¹/₂ x 42 x 28
A = 588 cm²
Therefore the area of triangle DEF is 588 cm²
Answer:
588
Step-by-step explanation:
Ahmed was studying the shapes of quartz crystals, one of which he outlined below.
A figure can be broken into a parallelogram and triangle. The parallelogram has a base of 3 feet and height of 5 feet. The triangle has a base of 3 feet and height of 2 feet.
What is the area of the quartz crystal he was studying, in square feet?
Answer:
I believe it is 18 square ft.
Answer:
18 feet sq
Step-by-step explanation:
got it right on the test:)
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
A. 2.24 yd
B. 53.67 yd²
C. 5.33 yd³
Step-by-step explanation:
Here we have;
Height of the pyramid = 2 yd
Side length of pyramid base = 2 yd
Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;
(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²
∴ Slant height = √5 yards = 2.24 yd
B. The surface area of the cube with one side open is found as follows;
Surface area of container cube = 5 × (2·yd)² = 20 yards²
The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height
Since the base is open, we have;
The surface area of the pyramid = 1/2 perimeter of base × Slant height
= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²
Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid
total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²
C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid
Volume of the cube = 2 × 2 × 2 = 8 yd³
Volume of the inverted pyramid = 1/3 × Base area × Height
Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³
Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.
Which graph represents the solution set of this inequality? 1 + 2x < 9
Answer:
There is no picture so unfortunately, I cannot answer it. But, I can answer the equation...
Step-by-step explanation:1+2x<9
-1 -1
2x<8
x<4
Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.
As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x^2 + 2x +2)
Answer:
The product of (x + 1)(x² + 2x + 2) is
x³ + 3x² + 2x + 4
Step-by-step explanation:
The product of (x + 1)(x² + 2x + 2) is Given in the steps below.
(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2
= x³ + 2x² + 2 + x² + 2x + 2
= x³ + 3x² + 2x + 4
What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m
Answer:
174 m/s
Step-by-step explanation:
Formula: velocity = frequency x wavelength
V = 2 x 87
V = 174
Hope that helps!
Answer:
174
Step-by-step explanation:
Did the test
What value of x makes the
equation frue?
113 - X = 98
Answer:
15
Step-by-step explanation:
you have to take 98 away from 113.
Answer:
X= 15
Step-by-step explanation:
Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
What term must we add to complete the square on x^2 + 12x
Answer:
Step-by-step explanation:
You need to first find what x equals before you can solve the equation.
Answer:
36
Step-by-step explanation:
x^2+2xy+y^2
12x/2x=6=y
y^2=36
What’s the answer????
Answer:
f
Step-by-step explanation:
Please help!! Due at 12 AM please!! Will help you !!! I do have another question that i posted
that has NOT been answered so if u can help with that also.
Answer:
Rocket A: The x-intercept= (0,0) and (7,0)
Maximum= (3.5, 220.5) *idk if your teacher wants x's or y's
Average Rate of Change over [0,2]= 90
Rocket B: The x-intercepts are=(0,0) and (4,0)
Maximum=(2,32)
Average Rate of Change over [0,2]= 16
Rocket A is faster
Step-by-step explanation:
Rocket A: graph on demos
when x is 2 y is 180 180/2=90
Rocket B: i graphed the points on demos and imagined maximun of the graph
(it also tell you the x-intercepts)
32/2=16
Hope this helps
The sum of a number and 12, divided by 4, is -7
Answer:
The number is -40
Step-by-step explanation:
-40+12=-28
-28/4=-7
The number is -40. that is if we add -40 and 12 then divide -7 we get 4. When two whole numbers are added together, the total amount of those values is obtained.
How to find unknown variable ?In algebra, the letter 'x' is often used to represent an unknown quantity or variable.
An unknown variable in an equation is one that must be solved for. In a polynomial or a formal power series, an indeterminate is a symbol, also known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant, not a variable.
To solve for a variable (such as x), you must first isolate the variable. You can isolate the variable by manipulating the equation with inverse operations. Multiplication is the inverse of division, and addition is the inverse of subtraction.
x + 12 / 4 = -7
x + 12 = - 28
x = - 28 - 12
x = - 40
The number is - 40.
To learn more about find unknown variable refer :
https://brainly.com/question/26717905
#SPJ2
How to solve this question
Answer:
3 hours
Step-by-step explanation:
let h be the hours of tuition, then
11h + 8.5 ← models the cost of Leda's tuition
10.5h + 10 ← models the cost of Thanh's tuition
Equate the 2 and solve for h
11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )
0.5h + 8.5 = 10 ( subtract 8.5 from both sides )
0.5h = 1.5 ( divide both sides by 0.5 )
h = 3
Thus after 3 hours the price would be the same for both instructors
Given the equation below , if x = 5 , what is the value of y?
y= 7.25x
Answer:
y=36.25
Step-by-step explanation:
substitute x
y=7.25(5)
y=36.25
Answer:
y=36.25
Step-by-step explanation:
We are given
y= 7.25x
and
x=5
We know that x is equal to 5, therefore we can substitute 5 in for x.
y= 7.25x
y=7.25(5)
Multiply 7.25 and 5
y=36.25
What name is given to quadrilaterals in which the diagnosis are equal in length and bisect each other?
Answer:
Did you mean the diagonal are equal in length and bisect each other?
In that case, it is parallelogram.
Hope this helps!
:)
Answer:
Rectangles
Step-by-step explanation:
Diagonals bisect each other for all parallelograms.
But they are equal in a few.
Note: square is also a rectangle
If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?
Answer:
The shape of a cone
Step-by-step explanation:
If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).
the leg we choose to rotate around will be the height of the cone.
The other leg will be the radius of the cone's base.
And the hypotenusa of the right triangle will be the slant height of the cone.
what is the volume of a hemisphere with a radius of 6?
V
=
4
3
π
r
3
=
4
3
·
π
·
6
3
≈
904.77863
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
1 point
Find the volume of the following pyramid. Round to the nearest tenth if
needed. *
O V= 60 in cubed
OV= 20 in cubed
V= 30 in cubed
picture above!
Answer:
V=20 in cubed
Step-by-step explanation:
The formula to find the volume of a pyramid is L×W×H÷3
L×W=15 or 5×3=15 15×H=60 or 15×4=60 60÷3=20 in cubedTherefore V =20 in cubed
Hope that helped! If you have any further questions please message me! Good luck!
pls helllllllllllllp
Answer:
40
Step-by-step explanation:
24 divided by = 8
8 times 5 = 40
can i have brainliest please
Answer:
40
Step-by-step explanation:
there is a 5 to 3 ratio for ice cream cones to brownies
ice cream: brownies
5:3
x:24
three times eight is 24
five times eight is 40
Given g(x)= -x-2, find g(0)
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2
A pair of shoes that originally cost $79 are on sale for 35% off. Does the expression 0.65(.79) represent the sale price of the shoes (in dollars)? explain your reasoning
Answer:
0.65(79) represents the correct sales price of the shoes (in dollars).
Step-by-step explanation:
As per question, discount offered on cost price = 35% and
Cost Price = 79$
Calculating discount :
Discount on cost price = [tex]35\% \times 79[/tex]
[tex]\Rightarrow \dfrac{35}{100} \times 79[/tex]
Now, it is know that we have to subtract the discount from cost price to get Sale Price:
[tex]\text{Sale price = Cost price - Discount on cost price}[/tex][tex]\Rightarrow \text{Discounted price = } 79 - \dfrac{35}{100} \times 79\\\text{Taking 79 common}\\\Rightarrow 79(1-0.35)\\\Rightarrow .65(79)[/tex]
Hence 0.65(79) represents the correct sale price of the shoes in dollars.
F(x)=x^2 what is g(x)
Answer:
10
Step-by-step explanation:
You have to get 10 because g(x) means 5 so you multiply it by two.
Answer
The answer is (1/3x)^2
Step-by-step explanation:
g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4
Can anybody find the measure of angle LMP as well as the measure of arc MN? Im lost...
click on image for full picture
Answer:
96 degrees
Step-by-step explanation:
When finding the arc from a non central angle, multiply it by 2
A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.
8
4
2
[tex]2\sqrt{2}[/tex]
Answer:
2√2
Step-by-step explanation:
r(t) = (2t, t²)
v(t) = dr/dt
v(t) = (2, 2t)
v(1) = (2, 2)
|v(1)| = √(2² + 2²)
|v(1)| = 2√2
