Answer:
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 200(1 + (0.055 × 0.5)) = 205.5
A = $205.50
Step-by-step explanation:
Make b the subject of the formula a = square root b+6
Answer:
b = (a - 6)^2
Step-by-step explanation:
Solve for b:
a = sqrt(b) + 6
a = sqrt(b) + 6 is equivalent to sqrt(b) + 6 = a:
sqrt(b) + 6 = a
Subtract 6 from both sides:
sqrt(b) = a - 6
Raise both sides to the power of two:
Answer: b = (a - 6)^2
The formula is simplified as the equation b = a² - 6
Given data:
To make "b" the subject of the formula "a = √(b + 6)", we need to isolate "b" on one side of the equation.
Here are the steps to rearrange the equation and solve for "b":
Start with the equation: a = √(b + 6).
Square both sides of the equation to eliminate the square root:
(a)² = (√(b + 6))².
Simplify the right side of the equation:
a² = b + 6.
Subtract 6 from both sides of the equation to isolate "b":
a² - 6 = b.
So, the equation "a = √(b + 6)" can be rearranged as "b = a² - 6". This new equation allows us to calculate the value of "b" based on a given value of "a".
Hence, the equation is b = a^2 - 6.
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Which problem can be solved by division of decimals?
Answer:
D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?
Step-by-step explanation:
A.Cost of 1 gallon=3.79
Cost of 10.3 gallon=[tex]3.79\times 10.3=39.037[/tex]
It can not be solved b y division of decimals.
B.Let x be grade got by Maria in her next test.
Grades obtained by Marian in her 4 previous test are given by
75.3,92.1,78.6 and 81.0
According to question
[tex]75.3+92.1+78.6+81.0\geq 400[/tex]
[tex]327+x\geq 400[/tex]
[tex]x\geq 400-327[/tex]
[tex]x\geq 73[/tex]
It can not be solved b y division of decimals.
C.Helena saved money=$45
Cost of dress=$78.00
78-45=33
She needs to save $33 more.
It can not be solved b y division of decimals.
D.Cost of 7 wiffle ball sets=$45.50
Cost of 1 ball set=[tex]\fra{45.50}{7}=[/tex]$6.5
It can be solved b y division of decimals.
Option D is true.
D.Mica spent $45.50 on 7 wiffle ball sets. How much does it cost for one set?
Answer:
the answer is d
Step-by-step explanation:
What is a scale factor?
Answer:
A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x.
:)
Step-by-step explanation:
Answer:ascale factor is used in instructing some one on what is to be done in adrawn diagram in a graph e.g
Enlargement
Step-by-step explanation:I hope it gelps
Solve the equation -10x + 1 + 7 = 37
Answer:
-2.9
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like factors.
-10x + 8 = 37
Subtract 8 from both sides.
-10x = 29
Divide both sides by -10.
x = -2.9
Answer:
x = -29/10 = -2 9/10
Step-by-step explanation:
-10x + 1 + 7 = 37
Combine like terms
-10x +8 = 37
Subtract 8 from each side
-10x + 8-8 = 37-8
-10x = 29
Divide each side by -10
-10x/-10 = 29/-10
x = -29/10
x = -2 9/10
I need help guys with this including steps ..
Answer:
1. When adding you just add the numbers from the same space so
3 7
10 45
2. Same as adding but the opposite
2 1 2
3 1 6
1 2 1
Step-by-step explanation:
Dan rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 3.
Answer: 2
Step-by-step explanation:
1+2, 2+1
Therefore, the probability of getting a total of three is 2
Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
What is probability?" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Dan rolls two fair dice,
Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]
Total number of outcomes [tex]= 36[/tex]
Condition given,
Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]
Substitute the value in the formula of probability we get,
Probability of getting [tex]3[/tex]
[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]
Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .
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find the coordinate of F' after a reflection of the triangle about the line y = -x. Write your answer in the form of (a,b).
F is (3,5)
Answer & Step-by-step explanation:
When you are doing the reflection, y = -x, then the coordinates will go as follow...
(x, y) → (-y, -x)
So, (3, 5) will become (-5, -3).
So, the coordinate of F' would be (-5, -3)
Which of the following is the product of the rational expressions shown below? 3/x+2 ⋅ 7/2x
Answer:
[tex]\frac{21}{2x^{2} +4x}[/tex]
Step-by-step explanation:
[tex]\frac{3}{x+2} \times \frac{7}{2x}[/tex]
[tex]\frac{7 \times 3}{2x(x+2)}[/tex]
[tex]=\frac{21}{2x^{2} +4x}[/tex]
PLEASE HELP ASAP WILL MARK BRAINLIEST 6TH GRADE
Answer:
The answer is c
Step-by-step explanation:
Answer:
the answer is c
When a number is decreased by 25%, the result is 22. What is the original number to the nearest tenth?
The decrease is 25% so this means that 22 is 75% of the original number (100% - 25% = 75%)
Divide 22 by 75%:
22/ 0.75 = 29.3
The answer is 29.3
if $350 is shared in the ratio 2:5,the smaller share is
Answer:
$100
Step-by-step explanation:
350/7=50
50x2=100
Two cylinders are similar. The volume
of one is 8 cm3, and the volume of the
other is 125 cm3. Find the scale factor
between them.
Answer:
2/5
Step-by-step explanation:
[tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} } = \frac{2}{5}[/tex]
Answer:
2:5Step-by-step explanation:
have a blessed day and life
The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm. What is the approximate difference between m
Answer:
B) 44.8
Step-by-step explanation:
cos ( ∠C ) = 5/13 = 0.38462
m ∠C = cos^(-1) 0.38642 = 67.4°
m ∠A = 90° - 67.4° = 22.6°
m ∠C - m ∠A = 67.4° - 22.6° = 44.8°
A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine the width of the rectangle
Answer:
The width is 8 inches.
Step-by-step explanation:
Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
Can you help plss and thank you
Answer:
Step-by-step explanation:
The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.
Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5. So the formula for the area is
[tex]A=(4\frac{1}{5})(5\frac{1}{4})[/tex]
Choice D
Please answer correctly !!!!Will mark brainliest !!!!!!!!!!!!!!
Answer:
No solutions
Step-by-step explanation:
x + 2y and 2x + 4y are linear combinations of each other since 2 ( x + 2y ) = 2x + 4y.
However, since 2 ( x + 2y = 2 ) results in 2x + 4y = 4 and the second equation reads as 2x + 4y = -8, there is no solution to this system of equations since 4 does not equal -8.
Answer:
option B
Step-by-step explanation:
x+2y=2 ⇒x= 2- 2y2x+4y=-8 ⇒ 2(2-2y) +4y= -8 ⇒ 4-4y+4y= -8 ⇒ 4= -8 this is impossibleso no solutionsAnswer: option B
Select the correct answer.
Haley conducted a study which found that a cup of coffee contains 150 milligrams of caffeine. The amount of caffeine in the body each
hour after consumption of one cup is 9% less than the previous hour.
If Haley conducted her study for a total of 10 hours, which inequality represents the range of the exponential function that models this
situation?
150 s f(x) s 355.1
58.41 s f(x) < 150
O s f(x) s 10
0 <f(x) s 150
Submit
Reset
Answer:
The correct option is (B)[tex]58.41<f(x)<150[/tex].
Step-by-step explanation:
The exponential decay function is as follows:
[tex]y=a(1-r)^{t}[/tex]
Here,
y = final value
a = initial value
r = decay rate
t = time taken
It is provided that:
a = 150 mg
r = 9% = 0.09
Then the next hour the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{1}\\=136.5\ \text{mg}[/tex]
Then after two hours the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{2}\\=124.215\ \text{mg}[/tex]
Similarly after 10 hours the amount of caffeine in the body will be:
[tex]y=a(1-r)^{t}\\=150\times (1-0.09)^{10}\\=58.4124\ \text{mg}\\\approx 58.41\ \text{mg}[/tex]
Then the inequality representing the range of the exponential function that models this situation is:
[tex]58.41<f(x)<150[/tex]
Thus, the correct option is (B).
The best answer's you can get are the already answered one's (posted cause a guy in the comment said it was wrong when it was actually correct)
plz help me solve
The locus of a point which moves in a plane such that it is equidistant from
two fixed points X and Y is
A. the perpendicular bisector of the line segment X Y
B. a line parallel to the line segment XY C. a circle with XY as diameter
D. the line perpendicular to the lin
Answer:
A. the perpendicular bisector of the line segment XY
Step-by-step explanation:
You know that one point equidistant from X and Y is the midpoint of segment XY. The third vertex of an isosceles triangle with XY as its base will also be equidistant from X and Y. That vertex will be located on the perpendicular bisector of XY.
The locus of points of interest is the perpendicular bisector of XY.
_____
For many geometry problems, it can be helpful to draw a diagram.
I need help can anyone help me please
Answer:
56
Step-by-step explanation:
so a straight line has an angle that is 180 degrees
the angle on both sides of X are 64 and 60
so add those up u get 124
get the whole angle of 180 and subtract 124 and u get 56
help!!!!!!!!!!!!!!!!!!!!!
Answer:
2. 90+240= 330 m cubed
3. (24*2)+96= 144 cm cubed
A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
Answer: 6.05 units
Step-by-step explanation:
Correct question is:
A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.
Hi, to answer this question we have to apply the next formula:
Volume of a cone = 1/3 x π x radius^2 x height
Replacing with the values given:
57 = 1/3x 3.14 x (3)^2 (h)
Solving for h
57 = 1/3 x 3.14 x 9 (h)
57 =9.42h
57/9.42 =h
h= 6.05 units
Feel free to ask for more if needed or if you did not understand something.
Answer:
6.05 units
Step-by-step explanation:
Does anyone know how to do this type of shape/figure
Answer: I think it is b
Step-by-step explanation:
Use synthetic division to solve (x^3-x^2-17x-15) divided by (x-5). What is the quotient?
Answer:
The answer would be x^2+4x+3
Step-by-step explanation:
Answer:
A. x^2+4x+3!!!
just took it on edg!
Which survey is biased?
A) Going to the mall and asking people what their favorite color is.
B) Going to the mall and asking people what their favorite place to shop is.
C) Going to the mall and asking people what television channel they watch most.
D) Going to the mall and asking people what radio station they listen to most often
Answer:
b
Step-by-step explanation:
alotta ppl go to the mall cuz they like to shop there, so if u ask ppl at the mall their fav place to shop, many will say "the mall"
Answer:
favorite place to shop i believe
Step-by-step explanation:
I'm sure it become a biased situation when you ask an answer similar to the surroundings.
i need help i’ll mark u as brainlist if u can help me imma not good at mAtH
- thanks ✌︎('ω')✌︎
Answer:
x = 44-y
Step-by-step explanation:
She has 44 glasses. The number of glasses of lemonade, y, and the number of glasses of ice tea, x, totals 44
x+y = 44
We want the number of glasses of ice tea
x = 44-y
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is replaced. Another marble is taken at random. What is the probability of getting 2 blues
Hi there!
Answer:
1/6
Explanation:
The first probability of getting blue is 4 out of the total marbles so 4/9.
The second time there are only 3 blue marbles out of 8 now so 3/8.
So the answer is 4/9X3/8
which equals 12/72 or 1/6
Hope this helps!
A square patio has a perimeter of (32x+8) feet. What is the length of the patio? Thanks!
Answer:
The side length is 8x+2 ft
Step-by-step explanation:
The perimeter of a square is found by
P =4s where s is the side length
32x +8 = 4s
Divide each side by 4
32x/4 +8/4 = 4s/4
8x+2 = s
The side length is 8x+2 ft
slove for x.
3x+22=66
Answer:
[tex]x = 14.667[/tex]
Step-by-step explanation:
[tex]3x + 22 = 66 \\ 3x = 66 - 22 \\ 3x = 44 \\ \frac{3x}{3} = \frac{44}{3} \\ x = 14.667[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
x = [tex]\frac{44}{3}[/tex] OR x = 14.67
Step-by-step explanation:
The first step is to subtract 22 from both sides, like so:
3x + 22 = 66
- 22 - 22
--------------------
3x = 44
Divide both sides by 3:
x = [tex]\frac{44}{3}[/tex] OR x = 14.67
Find the missing side of a right triangle with leg length 5 yards and hypotenuse 13 yards.
[tex]answer =12 \: yards \\ solution \\ hypotenuse(h) = 13 \: yards \\ perpendicular(p) = 5 \: yards \\ base(b) = ?\\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ {b}^{2} = {h}^{2} - {p}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ {b}^{2} = 169 - 25 \\ {b}^{2} = 144 \\ b = \sqrt{144 } \\ b = \sqrt{ {12}^{2} } \\ b = 12 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
Step-by-step explanation:
Use Pythagorean theorem
let the missing side be x
5² +x² = 13²
25 + x² = 169
x² = 169 - 25
x² = 144
x =√144
x = 12 yards
A large box P containing 15 cans of biscuits weighs 23 kg and weighs 500g when empty. A box containing 8 cans of the same biscuits Q weighs 12.3kg. Box Q What is the mass when the box is empty?
Answer:
300 g
Step-by-step explanation:
weight of a can of biscuits= (23- 0.5)/15= 1.5 kg
weight of 8 cans= 1.5 * 8= 12 kg
mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g
Answer:
300 g or 0.3 kg
Step-by-step explanation:
23 kg - 500g = 22.5 kg
each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg
if the box Q weighs 12.3kg when there's 8 box of biscuits then
8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight