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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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. =)
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
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
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:
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
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
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
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:
5GTIDHKIIIIIIIIFH LVS65344B 5649IOKNJMHXJBN LO9
IJKNBKJSIHERk?/ q
WQRIUUHOFJG
IUVNIGTR
FKNGIKSG'FJDJFSD
DJXFN
DNGKDM
SNFIDSFJOSE9IR9WQ3W
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
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.
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.
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
16x + 27
14x – 45
25x
Order the values from
least to greatest:
| -4|,|3|, 0,-1
Answer: -4, -1, 0, 3
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
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.
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:
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
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:
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
pls help asap i need the help
Answer:
-2.5 is correct answer
Ans.=bruh no one answers my question
Answer:
what was your question?
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
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
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 °
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
Help solve! i am not sure what the answer is
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
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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