16 is the answer BRAINEST plz
Step-by-step explanation:
12=3/4
12÷3=4
4/4 = 16
How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years.
Answer:
$7,359.65
Step-by-step explanation:
The computation of the amount that to be deposited is shown below:
Here we have to calculate the present value
As we know that
Present value = future value ÷(1+ rate of interest)^years
where,
rate of interest = 12.2% ÷ 4 = 3.05%
And, the years is = 5 × 4 = 20
Now the present value is
= $13,422 ÷ (1+ 3.05%)^20
= $7,359.65
Which values are solutions to the inequality below? Check all that apply.
x^2<8
A. -2
B. 3
C. 4
D. 2.
write a sentence describing the meaning of the statement c(2)=40
Step-by-step explanation:
A number,c times two equal forty.
Answer:
The following statement means that the cost of 2 months' worth of gigabytes costs $40.
Step-by-step explanation:
Go shop Quelenasboutique on Esty!
Please help don't answer just for points please'
Zoom in to see clearer :)
which rectangle represents dilation by a scale factor of 2 from the rectangles center?
Answer:
Original coordinates of F is (2,1)
Step-by-step explanation:
when DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), coordinates of point F' will be
( 2 x 1/2, 1 x 1/2 ) = ( 1, 1/2 )
2+7+12+17+22+27 sigma notation
Answer:
87 ?
Step-by-step explanation:
Easy question!!! Solve for x.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
yes
Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?
Answer:
48.1 cubic meters or 48100000 cubic centimeters
Step-by-step explanation:
Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75
Volume of Cylinder=Pi×radius squared×height
Lastly 3.14×1.75×1.75×5=48.1
I hope this helps you in any way:)
a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point
Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)
Help p-p
Answer:
Step-by-step explanation:
this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :) keep trying
this is called "Distribution" and is used often
3(-5[tex]y^{2}[/tex] -3)
-15[tex]y^{2}[/tex] +9
if you need more explanation just put your questions at the comments of this problem ... i'll see them :)
Rob saves £500 in his bank account.
The bank pays 4% simple interest
per year.
a) How much interest will he have
earned after five years?
b) How much money will he have in
the bank after five years?
Answer:
step 1: =4% of £500
=20
=20 × 5 years
= 100
= £500 + £100
=£600 ....therefore Rob will have £600 in his bank account after years.
which expression is equivalent to the given expression?
Answer:
4ln x +ln 3-lnx
4ln x -ln x+ln3
3ln x+ln 3
ln(3x+3)is equivalent.
what is the slope of (1,3) and (1,0)
Answer:
-3
Step-by-step explanation:
you can tell that the awnser is negative because the coordinates of Y go down from 3 to 0.
Is anybody else here to help me ??
Answer:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
Step-by-step explanation:
I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.
I'm going to start with the left hand side and see if I can turn it into the right hand side.
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
I'm going to use a cofunction identity for the 2nd term.
This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.
[tex]\cot(x)+\tan(x)[/tex]
I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.
I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]
So we have:
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:
[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.
That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].
So since I want one term I'm going to write as a single fraction first:
[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]
Find a common denominator which is [tex]\cos(x)[/tex]:
[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]
By the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:
[tex]\frac{1}{\cos(x)}[/tex]
By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:
[tex]\sec(x)[/tex]
By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:
[tex]\csc(\frac{\pi}{2}-x)[/tex]
Let's just do it all together without all the words now:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°
Answer:
A. 80
Step-by-step explanation:
T° = H°
if you rotated the first shape to match the second one, H° would fall on T°
the cost of buying shoes is shown in the table below
Answer:
Part AThe graph is attachedPart BFor zero number the cost is zero and the rate of change is 25.
0 - 0, 1 - 25, 2 - 50, 3 - 75, 4 - 100This is the indication of the proportional relationship
Part CIt is a constant change as the difference is same for each step - 25The ordered pair (1, 25) shows the unit rate is $25 per pair of shoesPart DConstant of proportionality is 25Part EThe equation is:
y = 25x,where y - cost, x - number of pairs of shoes, 25 - constant of proportionality
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
Which of the following best represents pi for the circle below?
Answer:
Pi ~ 3.14
That is probably the best measure.
Step-by-step explanation:
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
What is b in the equation 15 + b = 23?
prove the indicated operations.
(3-i)(4+3i)(5-2i)
Answer:
I hope if one of these help.
Step-by-step explanation:
(4 - 3i) + (2 + i )(5 - 2i)
=16 - 2i
If you simplify your answer will be: 16−2i
1) (3+2i)-(1-6i)
2) 4i+3-6+i-1
3) 5i(3-2i)
4) (5+3i)(2-3i)
5) (2+i)(2-i)
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
1) 2 + 8i
2) -4 + 5i
3) 10 + 15i
4) 19 - 9i
5) 5
The operations with imaginary numbers are equal to those of the real numbers considering i as a variable, but with a property that allows to simplify the expression more, that is that i squared equals -1. Taking this property into account, we solve the expressions like this:
1) (3 + 2i) - (1-6i) = 3 + 2i - 1 + 6i = 2 + 8i
2) 4i + 3-6 + i-1 = 5i - 4 = -4 + 5i
3) 5i (3-2i) = 5i*3 - 5i*2i = 15i - 10i^2 = 15i - 10(-1) = 15i + 10 = 10 + 15i
4) (5 + 3i) (2-3i) = 5*2 - 5 3i + 3i*2 - 3*3i^2 = 10 - 15i + 6i - 9i^2 = 10 - 9i - 9(-1) = 10 - 9i + 9 = 19 - 9i
5) (2 + i) (2-i) = 2*2 - 2*i + 2*i - i^2 = 4 - 2i + 2i - (-1) = 4 + 1 = 5
I hope one of these help:)
The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of the perimeter of the targer rectangle to the perimeter of the smaller rectangle.
Answer:
I think that the ratio would be 12:11
Step-by-step explanation:
Because if you multiply 3 and 9 then you do 12:11
I just failed algebra for the third time someone help pls
Just tell me what to do
Answer:
study lol
Step-by-step explanation:
I really need help please
Answer:
b= 64 m
Step-by-step explanation:
[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]
[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]
[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]
= [tex]64[/tex] m
Answer:
is it math
Step-by-step explanation:
omg I really really really hate math
Fill in the blanks to the picture above
May you please answer these four questions for me? This is all i ask of you
Answer:
1. 151.29 in.²
2. 413 km²
3. 75 cm²
Step-by-step explanation:
1. 12.3 in. × 12.3 in. = 151.29 in.²
2. 17.5 km × 23.6 km = 413 km²
The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.
3. 15 cm × 5 cm = 75 cm²
For further calculation steps, look at these images:
These images are about multiplication and the decimal numbers in the problems have been converted to fractions.
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
Find the area of the shaded part of the triangle below. Round to the nearest tenth if needed.
Answer:
212.5
Step-by-step explanation:
For triangles, A = (bh)/2
You can do 15+25 to find the base, which is 40. From here do 17*40/2. You get 340. However, you need to remove the right triangle on the left side.
Again do 17*15/2, which you get 127.5.
From here subtract 127.5 from 340 and get 212.5
Answer:
Step-by-step explanation:
Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =
Answer:
x = 10.
Step-by-step explanation:
x + (-8) = 2.
First, isolate x by adding 8 to both sides.
x = 8 + 2.
Next, solve.
x = 10.
Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.
10 - 8 = 2.
2 = 2.