Step-by-step explanation:
in this condition we are given simple interest time and rate
so principal is missing so we should use the formula of principal that is
P=I×100/T×R
but we should convert that month in to years and we convert it by dividing it by 12.
rewrite! Write an new and equivalent equation that is easier to solve
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - an equation in a standard formTo do - simplify the equation so as to obtain an easier oneSince the equation provided isn't in it's general form , let's first convert it ~
General form of a Linear equation -
[tex]\bold{ax + b = 0}[/tex]
The equation after getting converted will be as follows ~
[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]
hope helpful ~
Help solve 100 points!!!!!
Answer:
4 weeks
Step-by-step explanation:
Given information:
Starting account balance = $85Weekly deposit = $8 + $10 = $18Given equation:
[tex]\sf b = 85 + w(10 + 8)[/tex]
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
[tex]\implies \sf 85+w(10+8)=150[/tex]
[tex]\implies \sf 85+18w=150[/tex]
[tex]\implies \sf 85+18w-85=150-85[/tex]
[tex]\implies \sf 18w=65[/tex]
[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]
[tex]\implies \sf w=3.6111...[/tex]
[tex]\implies \sf w=4\:weeks[/tex]
Therefore, there will be $150 in the bank account 4 weeks from now.
find the volume of a right prism with base area 32 cm² and height 1.5 cm
Answer:
1536
Step-by-step explanation:
volume=baseareaxheight
. =32cmsquarex1.5cm
. =1536cm
If the answer is correct please vote
Use the net to find the surface area of the regular pyramid.
A net includes four equilateral triangles. One triangle is shaded and it is a base. Each unshaded triangle shares a side with the shaded triangle. The shaded triangle has a side edge of 10 millimeters and area of base is 43.3 squared millimeters. The height of each unshaded triangle is 9 millimeters.
mm2
Answer: The surface area is 173.2 mm²
Step-by-step explanation: If the four triangles are equilateral and one of the sides is 10 then all the other sides must be 10 as well, meaning that the surface area of each triangle is 43.3 mm². That means that to find the surface area of the whole pyramid you must multiply 43.3 by 4 because there are 4 separate triangles.
43.3 × 4 = 173.2
sin(x)
1 – cos(x) – cot(x) = csc(x)
Pls help..
Answer:
pls find given attachment
Yesterday the price of a can beans at five supermarkets was $2.02, $2.11, $1.99,$2.32, and $2.26, respectively but today each supermarket raised it's price by $0.10. what today's mean price of a can of beans at five supermarkets?
a.2.14
b.2.34
c. 2.24
d.2.04
Answer:
the answer is C
Step-by-step explanation:
add them all together with the 0.10C increase which gives you 11.2 then divide by the number of different beans which is 5 and it gives you 2.24
What is the slope of the line that passes through the points (-6, 1) and (-6,-4)?
Write your answer in simplest form.
Answer:
horizontal line
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
-6+6/-4-1
y2-y1 = 0
[tex] \sqrt[3]{800} [/tex]
between 2 and 3
between 4 and 5
between 9 and 10
I need help I am stuck
Answer:
1. 2x^4(5 − x)
3. 7y^5(2y^4 − 3y+4)
5. −3(a^4 − 3a^2 + 4)
Answer:
The explanation is in the image
Step-by-step explanation:
Look for a number or alphabet that all the terms given have in common.
There are two boys and 23 girls, what’s the ratio of girls to all children?
Answer:
23:25
Step-by-step explanation:
Answer:
23/25 23 to 25 23:25
Step-by-step explanation:
Two boys 23 girls=25 children
girls=23
23/25
Marci needs to rent a storage. She needs to determine the volume of the storage unit. If the storage unit is 8 feet high, what is the volume of the storage unit
Give the degree of the polynomial. 10yx^5w^4-w^3v^5-5x^11-6
10yx⁵w⁴ - w³v⁵ - 5x¹¹ - 6
Degree = biggest exponent = 11
Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
Construct an isosceles triangle ABC in which AB=AC = 9 cm and BÂC = 45°. Measure ABC and BC
Answer:
m∠ABC = 67.5°BC = =6.888301782572 cmStep-by-step explanation:
ABC is an isosceles triangle
Then
m∠ABC = m∠ACB
The sum of the interior angles of a triangle is equal to 180°
Then
m∠ABC + m∠ACB + m∠BAC = 180°
Then
m∠ABC + m∠ACB + 45 = 180°
Then
2 × m∠ABC = 180°
Then
m∠ABC = (180−45)÷ 2 = 67.5°
Law of SIN :
[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]
[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]
A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction
The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The equation of a line is:
y = mx + b; where m is the slope and b is the y-intercept
The line given by the equation y = 2x + 3/2 have a slope (m) of 2 and y-intercept (b) of 3/2
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PLS URGENT! WILL GIVE BRAINLIEST!!!!
A certain company's main source of income is a mobile app. The function h models the company's annual profit (in millions of dollars) as a function of the price they charge for the app (in dollars).
Which of these statements are true?
(A) Greater app price always relates to greater profit.
(B) Greater app price relates to greater profit as long as the app's price is more than about 7 dollars.
(C) The largest possible profit the company can make is 7 million dollars.
(D) The largest possible profit the company can make is about 40 million dollars.
Thank you! God Bless!
Answer:
(C) The largest possible profit the company can make is 7 million dollars
Step-by-step explanation:
Proverbs 3:5-6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Trust in the Lord with all your heart
and lean not on your own understanding;
in all your ways submit to him,
and he will make your paths straight.
_________________________________________________________
Have a blessed day!!
:)
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= _____ Calories
36 Grams of Fat= ______ Calories
37 Grams of Protein= _____Calories
explain please thanks
Answer:
44 grams carbohydrates = 176 calories
36 gram of fat = 324 calories
37 gram of protien = 148 calories
44 grams of Carbohydrates = 176 calories
36 grams of Fat = 324 calories
37 grams of Protein = 148 calories
To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.
The caloric content per gram is as follows:
- Carbohydrates: 1 gram = 4 calories
- Fat: 1 gram = 9 calories
- Protein: 1 gram = 4 calories
Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:
1. Carbohydrates:
Calories from Carbohydrates = 44 grams × 4 calories/gram
Calories from Carbohydrates = 176 calories
2. Fat:
Calories from Fat = 36 grams × 9 calories/gram
Calories from Fat = 324 calories
3. Protein:
Calories from Protein = 37 grams × 4 calories/gram
Calories from Protein = 148 calories
In total, the burger would have 176 + 324 + 148 = 648 calories.
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A machine produces 225 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
Answer: 375 bolts
Step-by-step explanation:
Just do 225*(40/24)
Find the surface area
Answer:
A≈9248.85
Step-by-step explanation:
A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877
f(x) = xWhat is g(x)?
11(x) = x²
g(x)
O A. g(x) = -3x2
B. g(x) = x2 - 3
Oc. g(x) = -x²
O D. g(x) = -x2 - 3
What is the value of x?
Enter your answer in the box.
X =
Answer:
26°
Step-by-step explanation:
x + 64° = 90° ( being complementary angles)
x = (90 - 64)°
x = 26°
Answer:
x = 26°
Step-by-step explanation:
x + 64° = 90° [right angle]
x = 90° - 64°
x = 26°
When looking for interesting facts, avoid using
A. Lists of statistics
B. Quotes from famous people
C. Reliable sources
D. Humor
Answer:
D: humor.
Step-by-step explanation:
it's just common sense. I am not a gen z so I should know.
Calculate the following 87124 + 14997=
Answer:
87124 + 14997 = 102121
Hope it helpz~ uh..
Carry on learning :)
Answer:
102121
Step-by-step explanation:
What is the median of this data set?
{16, 16, 16, 19, 20, 22, 23, 24, 24}
Answer:
The median is 20
Step-by-step explanation:
They are already in order so you would just have to find the middle.......
Hope this helps.......if not then sorry for wasting your time and may God bless you
What is the surface area of the cylinder with height 4 km and radius 5 km? Round
your answer to the nearest thousandth.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]
what is 3 1/2 - 2 7/8=
Step-by-step explanation:
[tex] = 3 \frac{1}{2} - 2 \frac{7}{8} \\ [/tex][tex] = \frac{3 \times 2 + 1}{2} - \frac{2 \times 8 + 7}{8} \\ [/tex][tex] = \frac{7}{2} - \frac{23}{8} \\ [/tex]Now...find the lcm...[tex] = \frac{7}{2} \times \frac{4}{4} - \frac{23}{8} \times \frac{1}{1} \\ [/tex][tex] = \frac{28}{8} - \frac{23}{8} \\ [/tex][tex] = \frac{28 - 23}{8} \\ [/tex][tex] = \frac{5}{8} \\ [/tex]Answer:
5/8
Step-by-step explanation:
3 + 1/2 - 2 - 7/8
⇒ 3 - 2 = 1
1/2 - 7/8 = ?
⇒ 4/8 - 7/8 = -3/8
1 - 3/8 = 5/8
Alternative approach:
7/2 - 23/8(converted mixed numbers to fractions)
(7 × 8) - (23 × 2) ÷ 2 × 8
= 56 - 46 ÷ 16
= 10/16
= 5/8
a bottle contains 2 1/2 cups of apple juice a serving of apple juice is 1/2 cup how many servings does the bottle contain
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
How to determine the quantity of servings from a bottle
In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:
[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]
x = 5
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
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tan A = 2.053 what is the measure of angle A
Answer:
A =64.03
Step-by-step explanation:
tan A = 2.053
A = Arctan( 2.053)
A =64.03
WILL GIVE BRAINLIEST 50 POINTS
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
Answer:
(x+5,y) = Yes
(5x,5y) = No
(.5x,.5y) = No
(x,-y) Yes
(-x,-y) Yes
Step-by-step explanation:
x^2+4x-4=0
Solve by factoring.
Answer:
1) As it is the coeficient of x² is 1, we need to find two numbers whose Sum S(x)=3 and the same numbers whose product is 2, P(x)= 2
S(x) = ( ) + ( ) =3
P(x) = ( ) * ( ) =2
S(x) = ( 2 ) + ( 1 ) =3
P(x) = ( 2 ) * ( 1 ) =2
These numbers in bold will be coeficients of x.
Rewrite the Trinomial x²+ 3x +2 as x² +2x+1x+2
So x²+3x+2 =x²+2x+1x+2
x² +2x+x+2 Put the x in evidence
x(x+2)+1(x+2) Find the Maximum Common Divider
(x+1)(x+2)
2) x²+x-6=0
Applying the same procedure. Which two integer number whose sum is 1 and whose Product is -6?
S(x) = ( 3 ) + ( -2 ) =1
P(x) = ( 3 ) * ( -2 ) =-6
Rewrite
x²+x-6
x²+3x-2x-6 Group them
x(x+3)-2(x+3) Common Term
(x+3)(x-2)
3) Since the a coeficient is ≠ 1, a little adjustment must be made on our algorithm for -2x²+4x+30=0
Firstly multiply a*c, in this case -2 * 30 = -60
Which two numbers multiplied by themselves will turn out to be -60 and whose sum is -60? Since we're working with integers factoring out may be very helpful.
P(x)= ( 10 ) * ( - 6 ) = -60
S(x) = ( 10 ) + ( -6 ) = 4
Rewriting
-2x²+10x-6x+30 Group them
2x(x+5) -6(x+5)
(2x-6)(x+5) Inserting the -1 to finally adjust
-1(2x-6)(x+5)
4) Explanation is the same principle as a≠1
3x²+4x-4=0
P(x) = ( 6 ) * (-2 ) = -12
S(x) = ( 6 ) + ( -2 ) = 4
3x²+4x-4 = 3x²+6x-2x-4
3x²+6x -2x+4
3x(x+2)-2(x-2)
(3x-2)(x+2)
The other ones are just applications of these, above.
Step-by-step explanation: