Answer: $770
Step-by-step explanation:
Number of units to be purchased by Alicia:
= 200,000 / 1,000
= 200 units
Alicia is purchasing a 5-year term life insurance policy. At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.
The formula for the annual premium is:
= Number of units purchased * Premium per $1,000
= 200 * 3.85
= $770
A store is having a buy one get one 30% off sale. During the sale Christopher buys two pairs of shoes that each have a regular price of 48$. How much does Christopher pay for the two pairs of shoes?
what is equivilent to 0.5y + 10.5 + 6.5y - 0.5 - 0.5y
Answer:
6.5y + 10
Step-by-step explanation:
0.5y + 10.5 + 6.5y - 0.5 - 0.5y
combine like terms
6.5y + 10
Answer:
m
Step-by-step explanation:
f
1) 1/3(x+3)+1/6=1/2(x-1)-(x-3)
Answer:
x= 8/5
Step-by-step explanation:
Let's solve your equation step-by-step.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
Step 1: Simplify both sides of the equation.
1
3
(x+3)+
1
6
=
1
2
(x−1)−(x−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1(x−3)(Distribute the Negative Sign)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−1x+(−1)(−3)
1
3
(x+3)+
1
6
=
1
2
(x−1)+−x+3
(
1
3
)(x)+(
1
3
)(3)+
1
6
=(
1
2
)(x)+(
1
2
)(−1)+−x+3(Distribute)
1
3
x+1+
1
6
=
1
2
x+
−1
2
+−x+3
(
1
3
x)+(1+
1
6
)=(
1
2
x+−x)+(
−1
2
+3)(Combine Like Terms)
1
3
x+
7
6
=
−1
2
x+
5
2
1
3
x+
7
6
=
−1
2
x+
5
2
Step 2: Add 1/2x to both sides.
1
3
x+
7
6
+
1
2
x=
−1
2
x+
5
2
+
1
2
x
5
6
x+
7
6
=
5
2
Step 3: Subtract 7/6 from both sides.
5
6
x+
7
6
−
7
6
=
5
2
−
7
6
5
6
x=
4
3
Step 4: Multiply both sides by 6/5.
(
6
5
)*(
5
6
x)=(
6
5
)*(
4
3
)
x=
8
5
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
Answer:
[911,∞)
Step-by-step explanation:
Given: S be the number of cans collected by Shane.
Since, Abha collected 178 more cans than Shane did.
Then, the number of cans collected by Abha = S+178
Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.
So,
Hence, the solution set of the inequality will be [911,∞)
a boy has only dimes and quarters in his piggy bank. If he has 50 coins worth 7 dollars and 55 cents altogether, how many quarters does he have in his bank
Answer:
30.2
Step-by-step explanation:
a qurter is 25 and there is 100 cents in a dollar so u do 755 divided by 25
Please help me with the
Answer: i think its 10
Step-by-step explanation:
Rewrite the equation by completing the square. x^{2}+4x-21 = 0
Answer:
x={3,-7}
Step-by-step explanation:
brackets for list
Solve with quadratic formula
separate the solutions
Square
Answer:
2 for the first box and 25 for the second one.
Step-by-step explanation:
Can someone please help me with this questions please help me I really need help please.
Answer:
C) Line A does not intersect Line B.
Step-by-step explanation:
Line A passes through (6 ,-30) & (-2 , 10)
Line B passes through (-4 , 28) & (2 , -2)
Find the slopes for each line. To find the slope, use the slope formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Line 1:
Let:
[tex](x_1 , y_1) = (6 , -30) \\(x_2 , y_2) = (-2 , 10)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{10 - (-30)}{-2 - 6} = \frac{10 + 30}{-8} = \frac{40}{-8} = \frac{-5}{1}[/tex]
Line 2:
Let:
[tex](x_1 , y_1) = (2 , -2)\\(x_2 , y_2) = (-4 , 28)[/tex]
Plug in the corresponding numbers to the corresponding variables:
m = [tex]\frac{28 - (-2)}{-4 - (2)} = \frac{28 + 2}{-4 - 2} = \frac{30}{-6} = \frac{-5}{1}[/tex]
The two lines share the same slope, therefore, they are parallel to each other. This means that they do not intersect at any given point.
Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism
Answer:
Surface area of cuboid = 78 unit²
Step-by-step explanation:
Given diagram is a cuboid prism
Given:
Length of cuboid = 5 unit
Width of cuboid = 3 unit
Height of cuboid = 3 unit
Find:
Surface area of cuboid
Computation:
Surface area of cuboid = 2[lb + bh + hl]
Surface area of cuboid = 2[(5)(3) + (3)(3) + (3)(5)]
Surface area of cuboid = 2[15 + 9 + 15]
Surface area of cuboid = 2[39]
Surface area of cuboid = 78 unit²
name a pear of lines that apper to be parallel
Over a 5-year period, a company reported annual profits of $8 million, $3 million, $2 million, and $9 million. In the fifth year, it reported a loss of $7 million. What was the mean annual profit?
Given
Annual profits of four years $8 million, $3 million, $2 million, and $9 million.
In the fifth year, it reported a loss of $7 million.
To find:
The mean annual profit.
Solution:
Formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
Annual profits are $8 million, $3 million, $2 million, $9 million and -$7 million. Here negative sign represent loss.
So, the mean annual profit is:
[tex]\text{Mean}=\dfrac{8+3+2+9+(-7)}{5}[/tex]
[tex]\text{Mean}=\dfrac{22-7}{5}[/tex]
[tex]\text{Mean}=\dfrac{15}{5}[/tex]
[tex]\text{Mean}=3[/tex]
Therefore, the mean annual profit is $3 million.
The ratio of cement to gravel in a road
surface is 3:17. Find the percent
of cement in the mixture.
I am sorry i am wasting your time please help!
Step-by-step explanation:
True
false
false
true
i think its that I'm sorry if its wrong
Using the information from the previous question, find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x² − 300x − 200x + 60,000
= x² − 500x + 60,000
Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D
Find the missing side of this right triangle 8 16
Answer:
[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to find the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.
[tex]a=8 \\c=16[/tex]
Substitute the values into the formula.
[tex]8^2+b^2=16^2[/tex]
Solve the exponents.
8² = 8*8= 64 16²=16*16=256[tex]64+b^2=256[/tex]
Subtract 64 from both sides to isolate the variable.
[tex]64-64+b^2= 256-64 \\b^2=192[/tex]
Take the square root of both sides.
[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]
The missing side is equal to √192
find the value of x for both problems.
Answer:
Step-by-step explanation:
In Problem 6, 3/x = tan 30 degrees, or x/3 = 1 / (tan 30 degrees), or
x = 3 / (tan 30 degrees). Using a calculator: x = 3 / (0.449) = 6.68 units
In Problem 9, we begin by finding the length of the hypotenuse of the upper triangle: sin 60 degrees = 9√3 / hypotenuse, or
hypotenuse = 9√3/ (√3 / 2) = 9/2. Then the hypotenuse of the 45-45-90 triangle is 9/2. Thus, cos 45 degrees = x / (9/2), or
2x √3
---- = -------
9 2
9√3
Cross-multiplying, we get 4x = 9√3, so that x = -------------
4
A store has 125 scientific calculators.
Brand x sells for $20 each; Brand y sells
for $15 each. If the total selling price
of the calculators is $2,275, how many
of each calculator does the store have?
Answer:
Brand x: 80
Brand y: 45
Step-by-step explanation:
x + y = 125
20x + 15y = 2275
-20x - 20y = -2500
(+) 20x + 15y = 2275
--------------------------------
-5y = -225
y = 45
x + y = 125
x + 45 = 125
x = 80
Answer:
Brand x: 80
Brand y: 45
2. Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0, 10)and
the adjacent flagpole onto the other short rectangular bench and flagpole.
Answer:
See Explanation
Step-by-step explanation:
Given
Let the bench be B and the flagpole be T.
So:
[tex]B = (0,10)[/tex] --- given
The flagpole is represented by the triangular shape labelled T.
So, we have:
[tex]T = (6,9)[/tex]
See attachment for the rectangular bench and the flagpole
From the attached image, the location of the other bench is:
[tex]B' = (0,-10)[/tex]
And the location of the other flagpole is:
[tex]T' = (-6,9)[/tex]
So, we have:
[tex]B = (0,10)[/tex] ==> [tex]B' = (0,-10)[/tex]
[tex]T = (6,9)[/tex] ==> [tex]T' = (-6,9)[/tex]
When a point is reflected from [tex](x,y)[/tex] to [tex](x,-y)[/tex], the transformation rule is reflection across x-axis.
So the rigid transformation that takes [tex]B = (0,10)[/tex] to [tex]B' = (0,-10)[/tex] is: reflection across x-axis.
When a point is reflected from [tex](x,y)[/tex] to [tex](-x,y)[/tex], the transformation rule is reflection across y-axis.
So the rigid transformation that takes [tex]T = (6,9)[/tex] to [tex]T' = (-6,9)[/tex] is: reflection across y-axis.
Ben weighs 41.9 kg. His older brother weighs 57.6 kg. How much more does his older brother weigh?
Step-by-step explanation:
[tex]57.6 - 41.9 = 5.7[/tex]
6,336 ft in league?
Answer:
0.3475905 in league
Help!!! answer quickly pls
Most likely (3,0)
If it’s reflected across the y axis, then it should be the opposite of (-3,0)
Find the volume of the triangular prism.
A triangular prism has a height of 6 meters. Its triangular bases have a base length of 4.2 meters. and a height of 2.8 meters.
The volume of the triangular prism is ___
Answer:
V = 35.28 m³Steps:
V = H × (h×bl)/2
V = 6 × (4.2×2.8)/2
V = 6 × 11.76/2
V = 6 × 5.88
V = 35.28 m³
Which of the following figures has a length, width, and height?
A. Square
B. Line segment
C. Point
D. Pyramid
Answer:
I believe
D. Pyramid
Is the answer I did it in 6th or 7th grade
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would have all of the attributes
We both helped right?
Answer:
Pyramid
Step-by-step explanation:
Square is flat so no height.
Line segment is a flat line so no height
point is a literal dot
pyramid is a 3d figure so it would ahve all of the attributes
please HELP! USE PYTHAGOREAN THEOREM TO FIND RIGHT TRIANGLE SIDE LENGTHS
formula A(2)+B(2)=C(2)
Answer:
x = √ 40
Step-by-step explanation:
6 x 6 = 36 2 x 2 = 4 36 + 4 = 40A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters
Answer:
1350 m³
Step-by-step explanation:
To find the volume of a rectangular prism, we have to multiply its length, width, and height together.
The dimensions of this prism are 9, 10, and 15.
9 · 10 · 15 = 1350
The volume is 1350 meters³.
I hope this helps ^^
Use completing the square to find the equation of the following circle in standard form.
x2 + y2 - 4x + 12y - 16 = 0
Answer:
Here's a calculator that should help
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php
help me out and ill give brainliest
Answer:
C
Step-by-step explanation:
Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).
Q1: What is the measure of angle one?
Answer:
34
Step-by-step explanation:
omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one
Find the value of x. Round to the
nearest tenth.
X
37
6
X=
Enter
Answer:
x ≈ 4.5Steps:
tan(37°) = 0.75..
tan(37°) = x/6
x/6 = 0.75..
x = 0.75.. × 6
x = 4.52.. ≈ 4.5
Answer:
The answer is 4.5
Step-by-step explanation:
x =4.5
Fill in 4.5