Answer:
The midpoint is (2.5,-6) or written as a fraction ([tex]\frac{5}{2}[/tex], -6)
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{-2+7}{2}),(\frac{-8+-4}{2} ) \\MP= (\frac{5}{2}),(\frac{-12}{2} ) \\MP= (2.5,-6 )[/tex]
ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
[tex]A = P(1+r)^t[/tex]
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
For more references on compound interest, click;
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The difference between twelve and 2/3 of a number is 18. What is the number?
Answer:
FUVULYFVULO 8O75V IYDKLL RU,KJBUUCD
Step-by-step explanation:
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IJKNBKJSIHERk?/ q
WQRIUUHOFJG
IUVNIGTR
FKNGIKSG'FJDJFSD
DJXFN
DNGKDM
SNFIDSFJOSE9IR9WQ3W
A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answer: 1/3
Step-by-step explanation:
Hi I don’t have a protractor right now and I reallyyy need help answering these questions I don’t understand or I’ll get a 0. Can anyone help me please?
Answer:
hhrnfg
Step-by-step explanation:
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Solve the equation for d.
Answer:
[tex]d=\frac{f+4}{3}[/tex]
Step-by-step explanation:
3d - 4 = f
add 4 to both sides
3d = f + 4
divide both sides by 3
d = f/3 + 4/3
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
-62
Step-by-step explanation:
Step 1: Define
u = 18
x = -10
y = 8
u + xy
Step 2: Substitute
18 + -10(8)
Step 3: Evaluate
18 - 80
-62
simplify (sin^4(x) - cos^4(x)) / (sin^2(x) - cos^2(x))
Answer:
1
Step-by-step explanation:
Using the trig. identity
sin²x + cos²x = 1
Given
[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]
[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as
(sin²x - cos²x)(sin²x + cos²x), then fraction becomes
= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator
= sin²x + cos²x
= 1
Use the equation below to find v, if u=16, a=11, and t=2.
v=u+at
Answer:
38
Step-by-step explanation:
v=u+at
v=16+11(2) Do multiplication first
v=16+22
v=38
Answer:
38
Step-by-step explanation:
1. Plug in the each number for its variable to get v = 16 + 11 x 2
2. Multiply 11 and 2 to get 22
3. add 16 to 22 to get 38
The area of a circle is 201cm² . what is the diameter ?
The answer is 16 cm approx.
Diameter= 2[tex]\sqrt{a/pi}[/tex]
=>2[tex]\sqrt{201 / 22/7}[/tex]
=>2[tex]\sqrt{201*7/22}[/tex]
=>15.997.......
=> 16 approx
Hope this helps you!!
Answer:
The diameter of the circle is 16
Step-by-step explanation:
[tex]\pi = 3.14[/tex]
Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius
[tex]\pi r^{2} = 201[/tex] = [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)
[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex] cross out 3.14 leaves you with [tex]r^2[/tex] and divide 201/3.14= 64.01
[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex] square root 64.01 which equals 8
Diameter = [tex]2r[/tex] 2(8) = 16
To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298
B is between A and C. If AB = 7x - 2, BC = 3x + 1 and AC = 59, Find AB
Answer:
AB = 40Step-by-step explanation:
B is between A and C so:
AB + BC = AC
7x - 2 + 3x + 1 = 59
10x - 1 = 59
+1 +1
10x = 60
÷10 ÷10
x = 6
AB = 7x - 2 = 7×6 - 2 = 42 - 2 = 40
Please help! I don't know if my answer is correct.
Answer:
c/20 cups
Step-by-step explanation:
Number of students in the baking club = 10
If each student made 2 cakes
then total cakes prepared by the students = 10 × 2 = 20
If total amount of flour used to prepare 20 cakes = c cups
and amount of flour used to prepare one cake = n cups
Then amount of flour used to prepare 20 cakes = 20n
Therefore, total amount of flour c = 2n
or n = c/20
Amount of flour used for one cake = c/20 cups
Answer:
the answer is c/20 cups!
Step-by-step explanation:
Yay you did great good job
3x+2y+6-7x+y+10x-6x-3y-6
Answer:
3x+2y+6-7x+y+10x-6x-3y-6
13x-13x+3y-3y+6-6
0
Order the values from
least to greatest:
| -4|,|3|, 0,-1
Answer: -4, -1, 0, 3
3(a - 1) + 2a = a + 1
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for a
Distribute 3: 3a - 3 + 2a = a + 1
Combine like terms: 5a - 3 = a + 1
Subtract a on both sides: 4a - 3 = 1
Add 3 on both sides: 4a = 4
Divide both sides by 4: a = 1
Piper went to the store to buy some apples. The price per pound of the apples is $5.25 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Piper have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Step-by-step explanation:
Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Help solve! i am not sure what the answer is
Christian wants to make an A in his class. There are 5 exams this year, and he has taken 4 of them. His grades were 84, 88, 95, and 104. What grade must Christian earn on the last exam to get an average of at least a 90?
Answer:
last test grade=x x ≥ 79 so 79%
Step-by-step explanation:
(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90
Simplify: (371/5)+(x/5) ≥ 90
Subtract (371/5) from both sides
Then you have (x/5) ≥ (79/5)
Then multiply both sides by 5 and you have x ≥ 79
P.S. If it was helpful please consider giving me brainliest. =)
Write a function g whose graph represents the indicated transformation of the graph of f.
f(x) = 4 - 6x +11
Answer:
well definitely the graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis
Step-by-step explanation:
16x + 27
14x – 45
25x
Write "twenty-four and seventy thousandths" using base-ten numerals.
Answer:
24.070
Step-by-step explanation:
twenty-four and seventy thousandths
24
and means change from integers to fractions
24 70/1000
or as a decimal
24.070
BOYS AND GIRLS there were 6 girls and 18 boys in Mrs.Johnsons math class. write the number of girls as a fraction of total class. then write the fraction as a decimal.
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
bruh no one answers my question
Answer:
what was your question?
pls help asap i need the help
Answer:
-2.5 is correct answer
Ans.=Which function has a domain of x>-5?
Answer:
f(x)=x-5 is a linear function
Step-by-step explanation:
so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.
What is X= to and what does Y= to?
Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
decide which type of graph will best represent that the majority of students like pepperoni pizza? Bar graph or pie chart?
Answer: Im pretty sure its a bar graph.
Step-by-step explanation:
round -6(5-7s)=20 pls help
Answer:
Step-by-step explanation:
-6(5-7s) = 20
-30 + 35s = 20
Add 30 both sides
35s = 50
Divide by 35 both sides
S=1.4
Is 27.14 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi. 3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.
g^5-h^3 if g= 2 and h= 7
Answer:
-318
Step-by-step explanation:
2^5 - 7^3
25 - 343
= -318
Answer:
[tex]\boxed{\tt -311}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]g^5-h^3[/tex]
and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].
Substitute 2 in for g and 7 in for h.
[tex](2)^5-(7)^3[/tex]
Evaluate the exponents.
⇒ 2⁵= 2*2*2*2*2= 32
[tex]32-(7)^3[/tex]
⇒7³= 7*7*7=343
[tex]32-343[/tex]
Subtract 343 from 32.
[tex]-311[/tex]
The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311